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"content": "An incident nucleon collides with another stationary nucleon to produce a $\\pi$ meson, with the reaction given by\n$$\n\\mathrm{N+N \\to N+N+\\pi}\n$$\nWhat is the threshold kinetic energy $T_{0}$ for this reaction ?\n\n(A) $$\n{\\frac{1} {2 m_{\\mathrm{N}}}} ( 5 m_{\\mathrm{N... | D | Physics |
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"content": "For an equilateral triangle with side length $a$, point charges $q$, $-q$, as well as $-2q$ are placed at its three vertices. Find the electric potential at the centroid of this triangle. How much work must an external force do to move a point charge of $+Q$ from infinity to th... | F | Physics |
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"content": "The given velocity field is\n$$\nv = 2 x \\mathbf{i} - a y \\mathbf{j} + (3 t - b z) \\mathbf{k},\n$$\nwhere $a$ and $b$ are constants. What are the equations of the streamlines passing through the spatial point $(x, y, z) = (1, 1, 1)$ at times $t = 0$ and $t = 1$?\n\n(A) $$\n\... | J | Physics |
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"content": "The rest average lifetime of a charged $\\pi$ meson is $2.6 \\times 10^{-8} \\mathrm{s}$. After a monoenergetic beam of $\\pi$ mesons produced by an accelerator travels a distance of 10m, $10\\%$ of the $\\pi$ mesons have decayed. What are the momentum and kinetic energy of the... | A | Physics |
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"content": "A neutron with a rest mass of $940 \\mathrm{MeV}$ and a half-life of 13 minutes is 5,000 light-years away from Earth. How much energy is required for this neutron to reach the earth at the end of its first half-life?\n\n(A) $$\n8. 2 \\times1 0^{1 1} \\mathrm{M e V}\n$$\n(B) $$\... | G | Physics |
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"content": "At 25°C, what will be the conductivity of water after removing all impurities? At 25°C, the ionic product of water $K_{\\mathrm{W}} = c_{\\mathrm{H}+} \\, c_{\\mathrm{OH}-} = 1.008 \\times 10^{-14}$. The limiting molar conductivities of the following electrolytes are given as: ... | H | Chemistry |
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"content": "There are two cylindrical tall containers each with a radius of $a$ and base at the same horizontal level. They are connected at the bottom by a slender tube with an inner diameter of $r$ and a length of $l$ (where $a \\gg r$). The containers are filled with the same liquid hav... | D | Physics |
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"content": "An ideal gas undergoes a Carnot cycle, producing a net work of 800 J when the heat source temperature is 100°C and the cooler temperature is 0°C. If the cooler temperature remains unchanged and the heat source temperature is increased to raise the net work to 1.60 $\\times 10^{... | D | Physics |
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"content": "If ice homogeneously nucleates at $40^{°}C$, calculate the critical radius given values of $-3.1 \\times 10^{8} J/m^2$ and $2 5 \\times1 0^{-3} J / m^{2}$ respectively, for the latent heat of fusion and the surface free energy.\n\n(A) $$\n4. 5 0 {\\mathrm{~ n m}}\n$$\n(B) $$\n2... | E | Physics |
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"content": "In the machining sequence, 1000 balls (each with a mass of 1g) are placed in a horizontal square trough with a side length of $L=2$ m and are given a translational kinetic energy of 100 J. The balls move in a chaotic manner. The collisions between the balls and between the ball... | F | Physics |
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"content": "In the $\\mathrm{p+p \\to\\ p \\pi^{+}+d}$ reaction, high-energy protons from an accelerator hit a stationary proton, producing $\\pi^{+}$ and a deuteron. Calculate the kinetic energy $T$ of the incident proton in the laboratory frame, given that the masses of the particles are... | I | Physics |
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"content": "At 298 K, the standard enthalpies of combustion for cyclopropane (g), graphite, and hydrogen gas are -2092, -393.7, and -285.8 kJ·mol$^{-1}$, respectively. The standard molar enthalpy of formation for propene (g) is $20.50 kJ\\cdot\\mathrm{mol}^{-1}$. What is the $\\Delta H_{m}... | H | Chemistry |
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"content": "In classic $\\beta$ decay, what is the order of magnitude of the neutrino energy?\nWhat is the relationship between the average lifetime of the 2P state spontaneous decay in hydrogen-like atoms such as $\\mathrm{H, He^{+}, Li^{++}}$ and the atomic number $Z$?\n\n(A) $$\nE_{v} {... | D | Physics |
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"content": "A copper container with a mass of $m_{1}=200 \\mathrm{g}$ and a specific heat capacity of $c_{1}=388 \\mathrm{J/(kg} \\cdot \\mathrm{K})$ has two tubes that are open to the outside, with the rest of the container being sealed. First, some ice is placed in the container. After r... | H | Physics |
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"content": "For a certain high-efficiency capillary electrophoresis system, the voltage is 25 kV, the column length $L_{\\mathrm{d}}$ is 55 cm, and the diffusion coefficient of a certain ion is $2.0 \\times 10^{-9} \\, \\mathrm{m}^2/\\mathrm{s}$. The time it takes for the ion to pass throu... | C | Chemistry |
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"content": "A particle with charge $q$ moves in uniform circular motion around the $z$-axis in the $xy$ plane, with an angular frequency of $\\omega$ and a radius of $R_{0}$. Assuming $\\omega R_{0} \\ll c$, calculate the frequency and energy flux density of the radiation field. Discuss th... | G | Physics |
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"content": "Using a chromatography column to separate components A and B, the theoretical plate number for this column is 4200. The retention times for A and B are measured as 15.05 minutes and 14.82 minutes, respectively. What is the resolution?\n\n(A) 3.15\n(B) 4.25\n(C) 0.50\n(D) 3.60\n... | E | Chemistry |
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"content": "The purpose of using the \"Two Measurements Method\" to determine the $\\mathrm{p H}$ value of a solution is ().\n\n(A) Neutralize the acidic ions in the solution and improve measurement reliability.\n(B) Calculate the molarity of the solution and enhance the precision of the r... | D | Chemistry |
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"content": "A very long conducting straight circular tube has a wall thickness of 5.0 mm and an outer diameter of 50.0 mm, carrying a current of 50 A. The current flows along the axis of the tube and is uniformly distributed across the cross-section of the tube. What is the magnitude of th... | C | Physics |
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"content": "Given $\\psi=r^{4}$, where $x$ represents the stream function in an axisymmetric steady flow under the influence of a gravitational field in cylindrical coordinates $( r, \\theta, x )$, what is the difference in total mechanical energy per unit mass at the points $( r, x )=( 1,... | A | Physics |
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"content": "In a highly rarefied gas with pressure $p$ and temperature $T$, there are two plates A and B moving parallel to each other at velocities $v_{\\Lambda}$ and $v_{\\mathrm{B}}$, respectively. what is the viscous force per unit area ?\n( Assume the molar mass of the gas is $M$. )\n... | G | Physics |
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"content": "A uniformly charged sphere has a radius of α and a charge density of $\\rho$, where the dielectric constant inside and outside the sphere is $\\varepsilon_{0}$. Potential distribution inside and outside the sphere is (). (The potential reference point is at infinity)\n\n(A) $$\... | G | Physics |
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"content": "From a sample of silk that has been stored for no less than one year, completely isolate $\\mathbf{U} \\mathbf{X}_{1}$ and purify it. Prepare solutions with equal volumes using the purified $U \\mathbf{X_{1}}$ and a uranium sample that does not contain $U \\mathbf{X_{1}}$, then... | C | Chemistry |
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"content": "The parallel infinitely large planar currents separated by a distance of $d$ are located at $z = -d / 2$ and $z = d / 2$, parallel to the $xy$ plane. The surface current densities are $K e_{s}$ and $K e_{y}$, respectively. What is the magnetic induction in the three spatial reg... | E | Physics |
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"content": "An infinitely long straight cylindrical surface with a radius of $a$ is uniformly charged, with a charge density of $\\sigma$ per unit area. When this cylindrical surface rotates around its geometric axis with a constant angular velocity of $\\omega$, what is the magnetic field... | G | Physics |
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"content": "A large metal sphere with a radius of $R=1~\\mathrm{m}$ is charged to an electric potential of $U$. Then, $n=10$ small, initially uncharged metal spheres with a radius of $r=\\frac{1}{9}~\\mathrm{m}$ are sequentially brought into contact with the large sphere and then removed. ... | G | Physics |
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"content": "The effective mass of electrons for $InSb$ is $m_{\\mathrm{e}} = 0.015m$, the dielectric constant is $\\varepsilon = 18$, and the lattice constant is $a = 6.479 \\overset{\\circ}{\\mathrm{A}}$. Try to calculate the orbital radius of the ground state, which is ().\n\n(A) $$\n6 5... | D | Physics |
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"content": "Using anhydrous sodium carbonate and borax as two standard substances to determine the concentration of a certain hydrochloric acid solution, the results are as follows:\nUsing anhydrous sodium carbonate: 0.1005, 0.1007, 0.1003, 0.1009 (mol/L)\nUsing borax: 0.1008, 0.1007, 0.10... | A | Chemistry |
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"content": "What is the energy of the electric field of a charge distributed uniformly with charge density $Q$ within a spherical shell, with inner and outer radii $a$ and $b$ respectively?\n\n(A) $$\n\\frac{2 ( 3 a^{3}+5 a^{2} b+b a^{2}+3 b^{3} ) Q^{2}} {6 0 \\pi\\varepsilon_{0} ( a^{2}+b... | D | Physics |
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"content": "Consult the boiling points of the following compounds and arrange them in descending order of boiling points ().\n(i) Ethyl chloride (ii) Acetyl bromide (iii) Acetic anhydride (iv) Ethyl acetate (v) Chloroethane (vi) Bromoethane (vii) Ethanol (viii) Acetic acid (ix) Diethyl eth... | I | Chemistry |
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"content": "In a $\\mathbf{U}$-shaped capillary tube, one tube has a radius of $r_{1}=1 \\times 10^{-3} \\mathrm{~m}$, and the other tube has a radius of $r_{2}=2 \\times 10^{-3} \\mathrm{~m}$. After filling the capillary tubes with some mercury, one tube is connected to a vacuum pump. Wha... | E | Physics |
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"content": "A solid consists of $N$ magnetic dipoles each with a spin of $1/2$. At high temperatures, the spins are randomly oriented; at low temperatures, all spins align uniformly. If the heat capacity as a function of temperature is approximately given by the following expression\n$$\nC... | I | Physics |
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"content": "Given the electric field intensity of an electromagnetic wave as $E_{x}^{\\cdot}=0. 1 \\mathrm{cos} \\Big( \\omega t-\\frac{\\omega} {c} z \\Big) \\ \\mathrm{V / m}$, where $\\omega=2 \\pi\\times 10^6 \\ \\mathrm{rad/s}$. Find the instantaneous electromagnetic field energy dens... | D | Physics |
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"content": "The thermal conductivity of germanium is $60 \\mathrm{W / m} \\cdot \\mathrm{K}$, and the resistivity is $0.01\\Omega ·m$ for an $\\mathbf{n}$-type germanium single crystal. What percentage of the thermal conductivity at 300K is contributed by the charge carriers (assuming long... | G | Physics |
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"content": "A uniformly charged sphere (non-conductor) has a radius of $R$ and a total charge of $Q$. What is its electrostatic energy?\n\n(A) $$\n\\frac{3 Q} {2 0 \\pi\\varepsilon_{0} R^{2}}\n$$\n(B) $$\n\\frac{3 Q^{2}} {8 0 \\pi\\varepsilon_{0} R}\n$$\n(C) $$\n\\frac{2 Q^{2}} {3 0 \\pi\\... | E | Physics |
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"content": "Given that the critical angle for light traveling from glass to air is (i_{0}), when light travels from glass to air, the polarization angle satisfies:\n\n(A) (tan i=1 - cos i_{0})\n(B) (tan i=cos i_{0})\n(C) (tan i=cos i_{0} - sin i_{0})\n(D) (tan i=tan i_{0})\n(E) (tan i=1/si... | I | Physics |
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"content": "Under the action of a catalyst, ethylene gas passes through a water column to form an aqueous ethanol solution, with the reaction as follows: $\\mathrm{C_{2} H_{4} \\left( \\ g \\right)}+\\mathrm{H_{2} O} \\longrightarrow\\mathrm{C_{2} H_{5} OH \\left( \\ aq \\right)}$. It is k... | D | Chemistry |
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"content": "The energy from electromagnetic waves in equilibrium in a cavity is used to melt ice. If the Kelvin temperature of the cavity is increased by a factor of two, the mass of ice that can be melted in a fixed amount of time is increased by a factor of\n\n(A) 16\n(B) 8\n(C) 3\n(D) 2... | J | Physics |
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"content": "At 298 K, the standard molar enthalpies of formation for pure benzene in the gaseous and liquid phases are $\\Delta_{\\mathrm{f}} H_{\\mathrm{m}}^{\\Theta} (\\mathrm{C}_6\\mathrm{H}_6, \\mathrm{g}) = 82.93 \\, \\mathrm{kJ} \\cdot \\mathrm{mol}^{-1}$ and $\\Delta_{\\mathrm{f}} H... | H | Chemistry |
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"content": "Mixing a 0.50 dm$^3$ 0.20 mol $\\cdot$ dm$^{-3}$ $\\mathrm{AgNO}_3$ solution with a 0.50 dm$^3$ 6.0 mol $\\cdot$ dm$^{-3}$ $\\mathrm{NH}_3$ solution, then adding 1.19g of solid KBr. Given that $[\\mathrm{Ag(NH}_3)]^*$'s $K_{Steady state}^\\ominus = 1.1 \\times 10^7$, and $\\mat... | F | Chemistry |
227a34c66387430a9a0aedf51563933b | [
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"content": "At room temperature, the effective density of states in the valence band $N_{\\tau}=1.04 \\times 10^{19} / \\mathrm{cm}^{3}$. A $\\mathbf{p}$-type semiconductor has an acceptor density $N_{A}=1.04 \\times 10^{16} / \\mathrm{cm}^{3}$, the bandgap energy of the semiconductor $E_{... | I | Physics |
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"content": "Let $P$ be a point near the boundary between a magnetic medium and a vacuum (on the vacuum side). It is known that the magnetic induction intensity at point $P$ is $\\boldsymbol{B}$, with an angle $\\theta$ to the normal of the interface. Given that the absolute permeability of... | G | Physics |
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{
"role": "user",
"content": "A parallel plate capacitor has plates that are squares with side length $a$, and a separation of $d$, with charges $\\pm Q$. If a dielectric slab of thickness $d$ and dielectric constant $\\varepsilon$ is inserted halfway, what force does it experience?\n\n(A) $$\n\\frac{( \\va... | I | Physics |
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{
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"content": "Monochromatic light (lambda) is incident perpendicularly on a single slit. For a certain diffraction angle (theta), the path difference of the diffracted light from the two edges of the slit, after passing through a lens to the convergence point A on the screen, is (delta=2lamb... | F | Physics |
5cc4f4e7d52249acbffcac52a542cf6e | [
{
"role": "user",
"content": "What was the original scientific name given to *Calytrix acutifolia* by John Lindley in 1839?\n\n(A) Calytrix lhotskyi\n(B) Calytrix acutifolii\n(C) Lhotskya acutifolius\n(D) Calytrix acutifoliae\n(E) Lhotskya acutifolium\n(F) Lhotskya acutifolii\n(G) Lhotskya acutifoliae\n(H) ... | H | Biology |
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{
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"content": "At $298 K$, when the concentration of $SO₂ in 1 dm³$ of $CHCl₃$ is $1.0 mol$, the equilibrium pressure of $SO₂$ above the liquid surface is $53,702 Pa$. When the concentration of $SO₂$ in $1 dm³$ of water is $1.0 mol$, the pressure of $SO₂$ above the water surface is $70,927.5 ... | D | Chemistry |
26bae7ebc56d44a28e77c84984e5d1b1 | [
{
"role": "user",
"content": "In the diffraction pattern produced by a single slit illuminated perpendicularly by white light, the 3rd order bright fringe of light with wavelength (\\lambda_1) coincides with the 4th order bright fringe of light with wavelength (\\lambda_2). The ratio of the wavelengths (\\l... | G | Physics |
1f205f2896ef46e2b4c9fb22dff31ab9 | [
{
"role": "user",
"content": "The superfamily Nematocarcinoidea is part of what infraorder?\n\n(A) Penaeidea\n(B) Carideaidea\n(C) Caridea\n(D) Atyidea\n(E) Palaemonidea\n(F) Nematocarcinidea\n(G) Pandalidea\n(H) Carideidea\n(I) Gonodactyloidea\n(J) Stenopodidea\n\nPlease write your final answer in the form... | C | Biology |
0b623198d2a949dc8caed0ca6afb4af4 | [
{
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"content": "Assume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Estimate the change in the Gibbs energy of $1.0 \\mathrm{dm}^3$ of benzene when the pressure acting on it is increased from $1.0 \\mathrm{~atm}$ to $100 \\mathrm{~atm}$.\n\n(A) +20kJ\n(B)... | G | Chemistry |
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{
"role": "user",
"content": "Which genus was the ruby-throated bulbul moved to from *Turdus* before finally being classified in the genus *Rubigula*?\n\n(A) Genus Ixos\n(B) Genus Muscicapa\n(C) Genus Lanius\n(D) Genus Hypotheticalus\n(E) Genus Hypsipetes\n(F) Genus Turdus\n(G) Genus Pycnonotidae\n(H) Genus... | I | Biology |
8be22f2ad1b242e488bb4db5ba4aa993 | [
{
"role": "user",
"content": "The compound that is less likely to react with HCN is ( ).\n\n(A) 3-pentanone\n(B) 2-pentanone\n(C) 2-methylpropanal\n(D) cyclopentanone\n(E) cyclohexanone\n(F) phenylacetaldehyde\n(G) 2-methylbutanone\n(H) 2-methylbutanal\n(I) 2-methylcyclohexanone\n(J) acetophenone\n\nPlease ... | J | Chemistry |
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{
"role": "user",
"content": "In the 1HNMR of CH3CH2CH3, the proton signal of CH2 is split by CH3 coupling into ( )\n\n(A) septet\n(B) octet\n(C) quintet\n(D) quartet\n(E) sextet\n\nPlease write your final answer in the form of \\boxed{A}, \\boxed{B}, \\boxed{C}, \\boxed{D}, or \\boxed{E}."
},
{
"ro... | A | Chemistry |
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"content": "In a vacuum, there are two parallel infinite uniformly charged thin plates, the distance between the two plates is (d), one plate has a charge density of (+sigma), and the other plate has a charge density of (+2sigma). The potential difference between the two plates is:\n\n(A) ... | I | Physics |
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{
"role": "user",
"content": "What is the cell structure directly related to the cell division of peanuts and mice?\n\n(A) Lysosomal Vesicle\n(B) Centrosome\n(C) Golgi Network\n(D) Mitochondria\n(E) Ribosomal Segment\n(F) Nuclear Pore Complex\n(G) Endoplasmic Reticulum\n(H) Cell Membrane Protein\n(I) Spindl... | I | Biology |
f231141b783c4a148a5e6c67b99a0bc6 | [
{
"role": "user",
"content": "What is the chemical formula of bromothymol blue?\n\n(A) C27H28Br2O5SeO\n(B) C27H28Br2O3S\n(C) C27H28Br2O5SO\n(D) C27H28Br2O4S\n(E) C27H28Br2O5Se\n(F) C27H28Br2O6S\n(G) C27H28Br2O5SO3\n(H) C27H28Br2O7S\n(I) C27H28Br2O5S\n(J) C27H28Br2O5SO2\n\nPlease write your final answer in t... | I | Chemistry |
a8c65f43c5c54d40841c84a4966bc1e7 | [
{
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"content": "What do the stamens (cluster) of the tubular flowers of the sunflower belong to?\n\n(A) Single stamen\n(B) Two stamens\n(C) Stamen Division\n(D) Singular Anther\n(E) Split Stamens\n(F) Separate Filaments\n(G) Isolated Filaments\n(H) Polyandrous stamens\n(I) Stamen Fusion\n(J) U... | I | Biology |
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{
"role": "user",
"content": "Which two scientists (first and last names) are credited with first isolating *Azotobacter salinestris* from saline soils?\n\n(A) William J. Page and Shailaja Shivprasad-Shrivastava\n(B) William J. Page and Shailaja Shivprasad\n(C) William J. Page and Shailaja Shrivastav\n(D) W... | B | Biology |
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{
"role": "user",
"content": "What is the surname of the individual who won the Bioinorganic Chemistry Award in 2011?\n\n(A) Cowan-White\n(B) Cowan-Red\n(C) Cowan-Black\n(D) Cowan\n(E) Cowan-Smith\n(F) Cowan-Green\n(G) Cowan-Jones\n(H) Cowan-Brown\n(I) Cowin\n(J) Cowen\n\nPlease write your final answer in t... | D | Chemistry |
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{
"role": "user",
"content": "Biological samples lose their biological activity after fixation. We can use a phase contrast microscope to observe the details of the microscopic structure of living cells. The design of the phase contrast microscope utilizes which phenomenon of light to convert phase differen... | A | Biology |
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{
"role": "user",
"content": "Under what circumstances will cut flowers accelerate their ethylene production when subjected to mechanical damage or disease invasion?\n\n(A) Soil acidity increases\n(B) Oxygen levels drop\n(C) Temperature Rises\n(D) Humidity Increases\n(E) Excessive moisture\n(F) Nutrient lev... | C | Biology |
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{
"role": "user",
"content": "The ( ) of actinomycetes has the function of absorbing nutrients and excreting waste.\n\n(A) Inner spore connections\n(B) Basic metabolic filaments\n(C) Peripheral waste threads\n(D) External nutrient fibers\n(E) Outer fungal layers\n(F) Extrinsic nutrient strands\n(G) Internal... | H | Biology |
0bea19b3e30b405e83f12a09b86c662e | [
{
"role": "user",
"content": "When the resistance level in an insect population reaches what multiple, it is generally considered that the insects have developed resistance?\n\n(A) 7 times\n(B) 20 times\n(C) 15 times\n(D) 4 times\n(E) 8 times\n(F) 12 times\n(G) 5 times\n(H) 2 times\n(I) 11 times\n\nPlease w... | G | Biology |
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{
"role": "user",
"content": "A Tasmanian species of which plant genus was named after philanthropist Elisabeth Murdoch?\n\n(A) Eremophila\n(B) Boronia\n(C) Leptospermum\n(D) Eucalyptus\n(E) Acacia\n\nPlease write your final answer in the form of \\boxed{A}, \\boxed{B}, \\boxed{C}, \\boxed{D}, or \\boxed{E}... | B | Biology |
ce6d975f4bbf48a9978edf95c51f92f6 | [
{
"role": "user",
"content": "What is the molar heat capacity of selenium at STP in joules per kelvin per mole?\n\n(A) 25.367\n(B) 25.373\n(C) 25.365\n(D) 25.363\n(E) 25.353\n(F) 25.368\n(G) 25.343\n(H) 25.383\n(I) 25.360\n(J) 25.358\n\nPlease write your final answer in the form of \\boxed{A}, \\boxed{B}, \... | D | Chemistry |
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{
"role": "user",
"content": "To which order does Taiwania le Floch belong?\n\n(A) Pezizomycetidae\n(B) Capnodiales (syn. Dothideales)\n(C) Dothideales\n(D) Pezizales\n(E) Venturiales\n(F) Eurotiales\n(G) Capnodiales\n(H) Dothideomycetes\n(I) Capnodiales (syn. Dothideomycetidae)\n(J) Dothideomycetidae\n\nPl... | G | Biology |
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{
"role": "user",
"content": "The correct statement about the super-resolved stimulated emission loss microscopy (STED) technique is ____.\n\n(A) STED employs three laser beams\n(B) STED requires two lighting sources\n(C) STED employs two laser pulses\n(D) STED utilizes dual photon emissions\n(E) STED opera... | B | Biology |
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{
"role": "user",
"content": "There is a hereditary skin disease among humans-ichthyosis, which is an X-linked recessive genetic disorder. If a female carrier of the gene (proband) marries a normal man, what are the probabilities of them having an affected daughter and an affected son, respectively?\n\n(A) ... | B | Biology |
5be3e91e7ac84c0c9e3515a1cf2b8f7f | [
{
"role": "user",
"content": "______ roots refer to roots that form from a fixed position on a plant.\n\n(A) Rhizomic\n(B) Adventitious\n(C) Secondary\n(D) Tubular\n(E) Vascular\n(F) Propagative\n(G) Axillary\n(H) Fibrous\n(I) Primary\n(J) Tertiary\n\nPlease write your final answer in the form of \\boxed{A}... | B | Biology |
3a9c04e9ec554e5e84b29c9e274971e1 | [
{
"role": "user",
"content": "Two congenitally deaf-mute (AR) individuals marry, and their two daughters do not suffer from deaf-muteness. What might this situation belong to?\n\n(A) Gene Linkage and Recombination\n(B) Environmental Pathogenic Factors\n(C) Skipped Generation Inheritance\n(D) Genetic Heterog... | D | Biology |
0b93b89ac8ea4148ae1a5539dcbbb802 | [
{
"role": "user",
"content": "A recessive X-linked allele c causes red-green color blindness in humans. A woman who is a carrier for this condition marries a man who has the condition. What is the proportion of their children (regardless of gender) who will have normal vision?\n\n(A) 1/5\n(B) 1/3\n(C) 3/4\n... | D | Biology |
c44194245814407a85fe2c139efebb6b | [
{
"role": "user",
"content": "A particle of mass 2m is projected at an angle of 45$^o$ with the horizontal with a velocity of 20$\\sqrt{2}$m/s. After 1 s of explosion, the particle breaks into two equal pieces.\nAs a result of this one part comes to rest. The maximum height from the ground attained by the o... | C | Physics |
0e8a00a3eaed447f91d19a2129043b99 | [
{
"role": "user",
"content": "Albinism, a condition characterized by a lack of pigment in the skin, eyes, and hair, occurs in certain populations with a frequency of 0.00005. Assuming albinism is determined by a single recessive gene, a (a) what is the probability of an albino resulting from a cross between... | I | Biology |
f85201a4481b47e8b9bbc8e1f0872983 | [
{
"role": "user",
"content": "Given a balanced redox reaction:$2MnO^{\\circleddash}_4+8H^{\\bigoplus}+Br_2\\rightarrow 2Mn^{2+}+2BrO^{\\circleddash}_3+2H_2O$If the molecular weights of $MnO^{\\circleddash}_4$ and $Br_2$ be $M_1$ and $M_2$ respectively, then:\n\n(A) equivalent weight of $Br_2$ = $\\dfrac{M_2... | I | Chemistry |
4d2c1965b9694952bc4152198cb0ae55 | [
{
"role": "user",
"content": "You are treating a severely ill patient with an intravenous antibiotic. You give a loading dose $D$ mg, which distributes immediately through blood volume $V$ to give a concentnation $C$ mg $d l^{-1}$ (1 deciliter = 0.1 liter). The half-life of this antibiotic in the blood is $... | B | Biology |
89c96062fcaf497ea1036ca39ed7036c | [
{
"role": "user",
"content": "A particle is projected at an angle $\\theta$ from ground with speed $u(g=10m/s^2)$, then which of the following is true?\n\n(A) If $u=10m/s$ and $\\theta=30^o$, then after 1 sec velocity becomes perpendicular to initial velocity\n(B) If $u=10m/s$ and $\\theta=30^o$, then afte... | D | Physics |
9ae079b37cc643d4859d153732edfeb9 | [
{
"role": "user",
"content": "The breaking strength $\\mathrm{X}\\ \\mathrm{kg/cm^2}$ of a steel cable produced by a factory follows a normal distribution $N ( \\mu, 4 0^{2} )$. Take a sample of volume 9 and get $\\overline{{{X}}}=7 8 0 \\mathrm{~ k g / c m^2}$. What is the value of $\\left | U \\right |$ w... | E | Physics |
135ebc9af8c54d3a94db3af27495140f | [
{
"role": "user",
"content": "Among the following options, which description of \"endogenous cholesterol\" is correct?\n\n(A) The cholesterol synthesized by the liver and secreted into the intestinal cavity along with bile is generally between 4 to 5 grams.\n(B) The cholesterol synthesized by the liver and ... | H | Biology |
36d6d550c809433ba473be5a9f9ba51f | [
{
"role": "user",
"content": "X-ray from a tube with a target $A$ of atomic number $Z$ shows strong $K$ lines for target $A$ and weak $K$ lines for impurities. The wavelength of $K_\u0007lpha$ lines is $\\lambda_z$ for target $A$ and $\\lambda_1$ and $\\lambda_2$ for two impurities.\n$$\\quad \\displaystyle... | G | Physics |
a5ceb93ab38241e38676c418758a1e6e | [
{
"role": "user",
"content": "Electrolyze 0.5 mol/L $Na_{\\mathrm{2}}$$SO_{\\mathrm{4}}$ aqueous solution using platinum electrodes. At 25°C, the cathode potential is measured to be -1.23 V, and the pH value of the solution is 6.5. The cathode overpotential value is().\n\n(A) $$\n\\approx0. 6 1 4 V\n$$\n(B)... | H | Chemistry |
d5688f89998e406688dbe075ee6bbd17 | [
{
"role": "user",
"content": "The magnetic field in a plane electromagnetic wave is given by \n$B=(200\\mu T)\\sin \\left[4\\times 10^{15}\\left(t-\\dfrac {x}{c}\\right)\\right]$. The average energy density is\n\n(A) 0.032\\ J/m^{3}\n(B) 0.16\\ J/m^{3}\n(C) 0.02\\ J/m^{3}\n(D) $$16\\ J/m^{3}$$\n(E) $$0.016\... | E | Physics |
60fbe8fbc8114c289153e6305aa59610 | [
{
"role": "user",
"content": "$20$ mL of $0.1\\space M$ weak acid $HA\\space (K_a = 10^{-5})$ is mixed with the solution of $10$ mL of $0.3\\space M\\space HCl$ and $10$ mL of $0.1\\space M\\space NaOH$. Find the value of $\\dfrac{[A^-]}{([HA]+ [A^-])}$ in the resulting solution?\n\n(A) 2 \\times 10^{-2}\n(... | D | Chemistry |
8a331a10506a4ff6b543fc5b2ac2502f | [
{
"role": "user",
"content": "Eight charges (each $q$) are placed at the vertices of a regular cube of side $a$. The electric potential energy of the configuration will be $ U=12\\times \\dfrac { 1 }{ 4\\pi \u000barepsilon _{ 0 } } ,\\dfrac { q^{ 2 } }{ a } \\times \\quad x $ then x.\n\n(A) $$ 1+\\dfrac { 2... | B | Physics |
405294857ca247fa8d5f8e16f81d4be8 | [
{
"role": "user",
"content": "The third line of the Balmer series spectrum of a hydrogen-like ion of atomic number $Z$ equals to $108.5\\space nm$. The binding energy of the electron in the ground state of these ions is $E_B$. Then\n\n(A) E_B = 108.8\\space eV\n(B) E_B = 85.4\\space eV\n(C) $$Z = 2$$\n(D) E... | I | Physics |
b2685991b2f64fd5b0074f65b0bc86ba | [
{
"role": "user",
"content": "Find the velocity $v$ of the rocket at the moment when its mass is equal to $m$, if at the initial moment it possessed the mass $m_0$ and its velocity was equal to zero.\n\n(A) $$\\displaystyle\u000bec{v}=\u000bec{u}\\ln{\\frac{m}{m_0}}$$\n(B) \\displaystyle \\vec{v}=-\\vec{u}\... | I | Physics |
a9b07f89ef9f44698ef68477055b0eb0 | [
{
"role": "user",
"content": "Two parallel discs are connected by a rigid rod of length $L=0.5$m centrally. Each disc has a slit oppositely placed as shown in the figure. A beam of neutral atoms are incident on one of the discs axially at different velocities v, while the system is rotated at angular speed ... | G | Physics |
6ae7b7561ae948da924e405ba68fbe65 | [
{
"role": "user",
"content": "In free space, a particle A of charge $1 \\, \\mu C$ is held fixed at a point P. Another particle B of the same charge and mass $4 \\mu g$ is kept at a distance of $1 \\, mm$ from P. if B is released, then its velocity at a distance of $9 mm$ from P is :\n[Take $\\dfrac{1}{4 \\... | H | Physics |
0e21826f082049e68f55655effe70563 | [
{
"role": "user",
"content": "A particle having charges $Q$ and mass $m$ starts moving from the origin under the action of an electric field. $\u000bec E=E_{0}\\hat i$ and the magnetic field $\u000bec B=B_{0}\\hat k$. Its velocity at $(x,\\ 3,\\ 0)$ is $4\\hat i+3\\hat j$. The value of $x$ is\n\n(A) $$\\dfr... | D | Physics |
c22015b76f9d4313a14290b8341a42a1 | [
{
"role": "user",
"content": "A vessel containing water is suspended from a spring balance. The spring balance reads $15kg$. When a piece of iron of mass $1.8kg$, suspended by a string is immersed with half of its volume inside the water the reading of the spring balance is (relative density of iron$=7.8$)... | G | Physics |
e3da6cc7ace94542b6a4ab1f8bc2d124 | [
{
"role": "user",
"content": "Find the quantam number $n$ corresponding to the excited state of He' ion if on transition to the ground state that ion emits two photons in succession with wavelength 1026.7$\\mathrm { A }$ and 304$\\mathrm { A }$ . $R = 1.097 \\times 10 ^ { 7 } \\mathrm { m }$\n\n(A) n=8\n(B)... | G | Physics |
9001a04b66cf43a8814731411e53a24b | [
{
"role": "user",
"content": "Cell equation : $A + 2B^{+}\\rightarrow A^{2+} + 2B$\n$$A^{2+} + 2e \\rightarrow A\\ E^{\\circ} = +0.34\\ V$$\nand $\\log_{10} K = 15.6$ at $300\\ K$ for cell reactions\nFind $E^{\\circ}$ for $B^{+} + e\\rightarrow B$\nGiven $\\left [\\dfrac {2.303\\ RT}{nF} = 0.059\\right ]_{a... | A | Chemistry |
0a7b2e06c69f4ad0b0630cda27f59834 | [
{
"role": "user",
"content": "Styrene $( \\mathbf{M}_{1} )$ and methyl acrylate $( \\mathbf{M}_{2} )$ copolymerize in benzene. Given : $r_{1}=0.75 \\,, r_{2}=0.20 \\,, \\left[ \\, \\mathrm{M}_{1} \\, \\right]=$ $1.5 \\mathrm{~mol ~\\cdot~ L^{-1} ~}, [ M_{2} ]=3.0 \\mathrm{~mol ~\\cdot~ L^{-1} ~}$. What is t... | G | Physics |
2c7b8977e4644470934920651de01d53 | [
{
"role": "user",
"content": "The sound from a very high burst of fireworks takes $ 5\\,s $ to arrive at the observer. The burst occurs $ 1662\\,m $ above the observer and travels vertically through two stratifier layers of air, the top one of thickness $ d_1 $ at $ 0^{\\circ}\\,C $ and the bottom one of t... | H | Physics |
daeb3b8cc2cc4faa858c73b3d30f2600 | [
{
"role": "user",
"content": "A long string having a cross-sectional area $0.80 \\,mm^2$and density, $12.5 \\,g / cm^3$ is subjected to a tension of $64 \\,N$ along the x-axis. One end (at x = 0) of this string is attached to a vibrator moving in transverse direction at a frequency of $20 \\,Hz.$ At $t = 0... | E | Physics |
b925cf2165c248e8bc7dd7ac6b219c13 | [
{
"role": "user",
"content": "A sample containing 1.0 mole of an ideal gas is expanded isothermally and reversibly to ten times of its original volume, in two separate experiments. The expansion is carried out at 300K and at 600K respectively. Choose the correct option(s).\n\n(A) Work done at 300K is twice ... | G | Physics |
d0ce897a587d464ca7676f91b5114c6e | [
{
"role": "user",
"content": "Charge over a non-conducting ring is distributed so that the linear charge density varies as $\\lambda=\\lambda_0 sin\\theta$. What is direction of force on a charge $q_0$ placed at the center?\n\n(A) Positive Y-axis if $q_0$ is negative\n(B) Negative X-axis if \\( q_0 \\) is n... | D | Physics |
8d99906b731144d7a1f3870b34ad271c | [
{
"role": "user",
"content": "$5\\ g$ of steam at $100^{\\circ}C$ is mixed with $10\\ g$ of ice at $0^{\\circ}C$. Choose correct alternative/s. Given: $s_{water}=1\\ cal/g^{\\circ}C,L_F=80\\ cal/g,L_V=540\\ cal/g$\n\n(A) At equilibrium, mixture contains $1\\dfrac{1}{6}\\ g$ of steam\n(B) At equilibrium, mix... | B | Physics |
0e21c973417c4f2ca998ef317e423628 | [
{
"role": "user",
"content": "A hydrogen electrode is immersed in a solution with pH = 0 (HCl). By how much will the potential (reduction) change if an equivalent amount of NaOH is added to the solution? (Take $p_{H_{2}} = 1$ atm, T = 298 K)\n\n(A) Decrease by 0.31 V\n(B) Decrease by 0.59 V\n(C) Decrease by... | J | Chemistry |
991e88c9ac8e4ad8adb1ccc12eabe69b | [
{
"role": "user",
"content": "A particular atom has the 4th shell as its valence shell. If the difference between the number of electrons between K and N shell and L and M shell is zero, find the electronic configuration of its stable ion.\n\n(A) 2, 8, 18\n(B) 2, 8, 10\n(C) 2, 8, 7\n(D) 2, 8, 8, 2\n(E) 2, 8... | J | Physics |
e680fae1da58412993d849d25c5bb779 | [
{
"role": "user",
"content": "When there occurs a transition from $n=3$ to $n=2$ state in the hydrogen, the atom recoils. If $E_{1}-E_{2}$ = $1.9 eV$, then the ratio of $KE$ of recoil and the photon energy is of the order of\n\n(A) 10^{-14}\n(B) $$10^{-12}$$\n(C) 10^{-10}\n(D) $$10^{_8}$$\n(E) $$10^{-11}$$\... | J | Physics |
c436578dbf8b45498930af96d3deb487 | [
{
"role": "user",
"content": "Find the maximum $K E$ of phototoelectrons emitted from the surface of lithium $( \\phi = 2.39 e V )$ when exposed with $E = E _ { 0 } \\left( 1 + \\cos 6 \\times 10 ^ { 14 } t \\right) \\cos 3.6 \\times 10 ^ { 15 } t$\n\n(A) 0.42 e V\n(B) 0.27 e V\n(C) 0.32 e V\n(D) $$0.1 e V$... | J | Physics |
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