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Q.

The root mean square speed of gas molecules at 25K and 1.5×105 Nm-2 is 100.5 ms-1. If the temperature is raised to 100 K and pressure to 6.0 × 105 Nm-2, the root mean square speed becomes.

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a

100.5 ms-1

b

201.0 ms-1

c

402 ms-1

d

1608 ms-1

answer is A.

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Detailed Solution

In such a case there is no change in velocity u=(3RT/M)=(3PV/M)The increase in temperature = 4 times and also the increase in pressure = 4 times. Both of these reinforce each other
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