Q.

Pressure depends on distance z as, P=αβexp(αzkθ), where α,β are constants, z is distance, k is Boltzmann’s  constant and θ is temperature. The dimension of β are

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a

M0L2T0

b

M0L0T0

c

M1L1T2

d

M1L1T1

answer is C.

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Detailed Solution

αzkθ should be dimensionless, hence α=MLT2

α/β=ML1T2=P, Hence β=M0L2T0

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