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The graph show a hypothetical graph of g...

The graph show a hypothetical graph of gas molecules. N is the total number of molecules. Find the value of a.

A

`(1)/(3)`

B

`(1)/(2)`

C

0

D

`(3)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Say `y=(1)/(N)(dN)/(dv)andx=v`,
Area = `intydx=int(1)/(N)(dN)/(dv)dv=(1)/(N)intdN=(N)/(N)=1" "...(i)`
Area under the curve = `(1)/(2)(2a)+2a=3a" "…(ii)`
`therefore` from (i) and (ii), `3a=1impliesa=(1)/(3)`
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