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Q.

In the relation P=αβe−αZ/Kθ, P is the pressure, Z is the distance, K is the Boltzmann constant and θ is the temperature. The dimensional formula of β will be:

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a

M0L2T0

b

M1L2T1

c

M1L0T−1

d

M0L2T−1

answer is A.

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Detailed Solution

αZKθ=M0L0T0[α]=KθZ But [P]=αβ So, [β]=αP=KθZP =ML2T−2LML−1T−2=M0L2T0(Since dimensions of K' is of energy)

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In the relation P=αβe−αZ/Kθ, P is the pressure, Z is the distance, K is the Boltzmann constant and θ is the temperature. The dimensional formula of β will be: