Kinetic Theory of Gases · JEE Main previous year questions

2021 3 questions

1. Q362021 · 20 Jul 2021 · Shift 1

   The amount of heat needed to raise the temperature of 4 moles of rigid diatomic gas from $0^{\circ }\text{ C}$ to $50^{\circ }\text{ C}$ when no work is done is ________. (R is the universal gas constant).

   1. A.$500\text{ R}$
   2. B.$250\text{ R}$
   3. C.$750\text{ R}$
   4. D.$175\text{ R}$
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   Answer: A

2. Q482021 · 18 Mar 2021 · Shift 1

   What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temperature T? ($k_{\mathrm{B}}$ is Boltzmann constant)

   1. A.$\frac{1}{2}{k}_{\mathrm{B}}T$
   2. B.$\frac{2}{3}{k}_{\mathrm{B}}T$
   3. C.$\frac{3}{2}{k}_{\mathrm{B}}T$
   4. D.$k_{\mathrm{B}}T$
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   Answer: A

3. Q402021 · 18 Mar 2021 · Shift 2
   
   1. A.$\sqrt{\frac{3\pi }{8}}$
   2. B.$\sqrt{\frac{\sqrt{3}}{3}}$
   3. C.$\sqrt{\frac{8}{3}}$
   4. D.$\sqrt{\frac{8\pi }{3}}$
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   Answer: A