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Question

The root mean square speed of a gas of density 1.5 g/ litre at a pressure of 2×106N/m2 is .

A
2×106m/s
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B
2×108cm/s
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C
2×103m/s
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D
2×102cm/s
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Solution

The correct option is C 2×103m/s

The density of a gas is 1.5g/litre or 1.5kg/m3 and the pressure is 2×106N/m2.

The root mean square speed is given as,

¯c=3Pρ

=3×2×1061.5

=2×103m/s

Thus, the root mean square speed of gas is 2×103m/s


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