First slide

Kinetic theory of ideal gases

Question

If RMS velocity of gas molecules increases,

Moderate

A

Area under $\frac{d N}{d u} v e r s u s u$ graph increases
B

Area under $\frac{d N}{d u} v e r s u s u$ graph decreases
C

Number of molecules between given velocities u and u+du increases
D

Number of molecules between given velocities u and u+du may increase or may decrease

Solution

Area under $\frac{d N}{d u} v e r s u s u$ graph gives total number of molecules of the gas, which is constant.
When temperature is increased, RMS velocity of molecules increases. $\frac{d N}{d u} v e r s u s u$ graph reduces in height and flattens out as shown. For some differential range of velocities, number of molecules decreases, and for some others, number of molecules increases.

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