MHT CET 2021 22th September Morning Shift | Heat and Thermodynamics Question 241 | Physics

A cylindrical rod is having temperatures $$\theta_1$$ and $$\theta_2$$ at its ends. The rate of heat flow is '$$Q$$' $$\mathrm{J}{\mathrm{s}}^{-1}$$. All the linear dimensions of the rod are doubled by keeping the temperatures constant. What is the new rate of flow of heat?

$$\frac{Q}{2}$$

$$\frac{Q}{4}$$

$$2 \mathrm{Q}$$

$$\frac{3 Q}{2}$$

MHT CET 2021 22th September Morning Shift

MCQ (Single Correct Answer)

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For a gas molecule with 6 degrees of freedom, which one of the following relation between gas constant '$$\mathrm{R}$$' and molar specific heat '$$\mathrm{C}_{\mathrm{v}}$$' is correct?

$$R=\frac{C_v}{3}$$

$$\mathrm{R}=\frac{5 \mathrm{C}_{\mathrm{v}}}{4}$$

$$\mathrm{R}=\frac{\mathrm{C}_{\mathrm{v}}}{2}$$

$$\mathrm{R}=\frac{3 \mathrm{C}_{\mathrm{v}}}{4}$$

MHT CET 2021 21th September Evening Shift

MCQ (Single Correct Answer)

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What is the ratio of the velocity of sound in hydrogen $$\left(\gamma=\frac{7}{5}\right)$$ to that in helium $$\left(\gamma=\frac{5}{3}\right)$$ at the same temperature? (Molecular weight of hydrogen and helium is 2 and 4 respectively.)

$$\frac{\sqrt{42}}{5}$$

$$\frac{5}{\sqrt{42}}$$

$$\frac{\sqrt{21}}{5}$$

$$\frac{5}{\sqrt{21}}$$

MHT CET 2021 21th September Evening Shift

MCQ (Single Correct Answer)

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Equal volumes of two gases are kept in different containers having densities in the ratio 1 : 16. They exert equal pressures on the wall of their respective containers. Then the ratio of their r.m.s. velocities is

16 : 1

1 : 8

4 : 1

1 : 12

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