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Q.

A quantity A appears in an equation,  Pressure =Ae-Af/kTB. Here, T represent temperature, f frequency & k Boltzmann constant. The kinetic energy of a gas molecule is given by =32kT. What is the dimension of B in length ?

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a

1

b

2

c

3

d

4

answer is C.

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Detailed Solution

AfkT=L°⇒[A]T-1ML2T-2=L°⇒[A]=ML2T-1 So [B]=ML2T-1ML-1T-2=L3T1
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A quantity A appears in an equation,  Pressure =Ae-Af/kTB. Here, T represent temperature, f frequency & k Boltzmann constant. The kinetic energy of a gas molecule is given by =32kT. What is the dimension of B in length ?