1
MHT CET 2021 21th September Evening Shift
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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.)

A
$$\frac{\sqrt{42}}{5}$$
B
$$\frac{5}{\sqrt{42}}$$
C
$$\frac{\sqrt{21}}{5}$$
D
$$\frac{5}{\sqrt{21}}$$
2
MHT CET 2021 21th September Evening Shift
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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

A
16 : 1
B
1 : 8
C
4 : 1
D
1 : 12
3
MHT CET 2021 21th September Evening Shift
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In thermodynamics, for an isochoric process, which one of the following statement is INCORRECT?

A
Energy exchanged is used to do work and also to change internal energy.
B
No work is done in the process.
C
It is a constant volume process.
D
Temperature of the system changes during the process.
4
MHT CET 2021 21th September Evening Shift
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If '$$\mathrm{E}$$' is the kinetic energy per mole of an ideal gas and '$$\mathrm{T}$$' is the absolute temperature, then the universal gas constant is given as

A
$$\frac{2 \mathrm{~T}}{3 \mathrm{E}}$$
B
$$\frac{2 \mathrm{E}}{3 \mathrm{~T}}$$
C
$$\frac{3 \mathrm{~T}}{2 \mathrm{E}}$$
D
$$\frac{3 \mathrm{E}}{2 \mathrm{~T}}$$
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