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Assume a sample of a gas in a vessel. Th...

Assume a sample of a gas in a vessel. The speeds of molecules are between 2 m/s to 5 m/s, The number of molecules for speed v (m/s) is given by `n=7v-v^(2)-10`. The most probable speed in the sample is

A

3.5m/s

B

5m/s

C

10m/s

D

4m/s

Text Solution

Verified by Experts

The correct Answer is:
A
`n-=7v-v^(2)-10`
For most probable velocity `(dn)/(dv)=0`
(`because` n is maximum at this velocity)
`7-2v=0rArr=(7)/(2)=3.5m//s`
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