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Q.

Which of the following statement is/are true?

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a

The ratio of rms speed to average speed is independent of temperature

b

Average kinetic energy is independent of the change in temperature

c

The difference between rms and most probable speed increases on increase in  the temperature

d

The rms speed is higher for He than for H2  at a given temperature

answer is A, C.

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Detailed Solution

CrmsCav=3π8  as no T term is involved their ratio is independent of temperature  K=32KT (On increasing temperature average kinetic energy also increases hence statement (B) is wrong)
On increase in temperature magnitude wise difference between rms and most probable speed will increase.
Speed depends upon M as  α1M So on increasing molar mass of gas speed decreases.

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