Assertion : $H_{2}$ and $O_{2}$ have same $R M S$ velocity at the same temperature. Reason: $R M S$ velocity of a gas molecule is directly proportional to the square root of $T$ .

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is D Assertion is incorrect but Reason is correct
$C_{R M S} = \sqrt{\frac{3 R T}{M}}$
For different gases, $R M S$ velocities are different because of different molecular weights at same temperature. So, assertion is incorrect.

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Assertion :H2 and O2 have same RMS velocity at the same temperature. Reason: RMS velocity of a gas molecule is directly proportional to the square root of T.

The correct option is D Assertion is incorrect but Reason is correctCRMS=√3RTMFor different gases, RMS velocities are different because of different molecular weights at same temperature. So, assertion is incorrect.

Assertion : $H_{2}$ and $O_{2}$ have same $R M S$ velocity at the same temperature. Reason: $R M S$ velocity of a gas molecule is directly proportional to the square root of $T$ .

The correct option is D Assertion is incorrect but Reason is correct
$C_{R M S} = \sqrt{\frac{3 R T}{M}}$
For different gases, $R M S$ velocities are different because of different molecular weights at same temperature. So, assertion is incorrect.