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Q.

If RMS velocity of gas molecules increases,

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a

Area under dNdu  versus  u graph increases

b

Area under dNdu  versus  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

answer is D.

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Detailed Solution

Area under dNdu  versus  u graph gives total number of molecules of the gas, which is  constant.When temperature is increased, RMS velocity of molecules increases.  dNdu  versus  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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If RMS velocity of gas molecules increases,