JEE Main 2024 (Online) 5th April Morning Shift | Heat and Thermodynamics Question 16 | Physics

If the collision frequency of hydrogen molecules in a closed chamber at $$27^{\circ} \mathrm{C}$$ is $$\mathrm{Z}$$, then the collision frequency of the same system at $$127^{\circ} \mathrm{C}$$ is :

$$\frac{\sqrt{3}}{2} \mathrm{Z}$$

$$\frac{2}{\sqrt{3}} \mathrm{Z}$$

$$\frac{3}{4} \mathrm{Z}$$

$$\frac{4}{3} \mathrm{Z}$$

JEE Main 2024 (Online) 4th April Evening Shift

MCQ (Single Correct Answer)

-1

A sample of gas at temperature $$T$$ is adiabatically expanded to double its volume. Adiabatic constant for the gas is $$\gamma=3 / 2$$. The work done by the gas in the process is:

$$(\mu=1 \text { mole })$$

$$R T[2 \sqrt{2}-1]$$

$$R T[2-\sqrt{2}]$$

$$R T[1-2 \sqrt{2}]$$

$$R T[\sqrt{2}-2]$$

JEE Main 2024 (Online) 4th April Evening Shift

MCQ (Single Correct Answer)

-1

The translational degrees of freedom $$\left(f_t\right)$$ and rotational degrees of freedom $$\left(f_r\right)$$ of $$\mathrm{CH}_4$$ molecule are:

$$f_t=2$$ and $$f_r=2$$

$$f_t=3$$ and $$f_r=3$$

$$f_t=3$$ and 4$f_r=2$$