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A quantity A appears in an equation. P...

A quantity A appears in an equation.
Pressure`=(Ae^(-Af//kT))/(B)`
T represent temperature 'f' frequency & 'k' boltzmann constant. Kinetic energy of a gas molecule is given
by `=(3)/(2)kT`. What is the dimension of B in length?

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
`[(Af)/(kT)]=L^(@)implies([A]T^(-1))/(ML^(2)T^(-2)) =L^(@) implies[A]=ML^(2)T^(-1)`
So `[B]=(ML^(2)T^(-1))/(ML^(-1)T^(-1))=L^(3)T^(1)`
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