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Question

In the relation, p=αβeαZkθ

P is pressure, Z is distance, k is Boltzmann's constant and θ is the temperature. The dimensional formula of α will be:

  1. [ML2T]
  2. [MLT2]
  3. [ML0T1]
  4. [M0L2T1]

A
[MLT2]
B
[ML2T]
C
[ML0T1]
D
[M0L2T1]
Solution
Verified by Toppr

The correct option is A [MLT2]
In the given equation αZkθ is dimensionless.

α=kθZ

[α]=[ML2T2k1×k][L]=[MLT2]

Hence, the correct option is A

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