In the relation P=αβe−αZ/kθ, P is the pressure, Z is the distance, k is the Boltzmann constant and q 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[β]=ML2T−2θ-1θLML−1T−2=M0L2T0(Since dimensions of K' is of energy)
In the relation P=αβe−αZ/kθ, P is the pressure, Z is the distance, k is the Boltzmann constant and q is the temperature. The dimensional formula of β will be