In the relation p = α β e - α z k θ , p is the pressure, z the distance, k is Boltzmann constant and θ is the temperature, the dimensional formula of β will be

Question

In the relation p = α β e - α z k θ , p is the pressure, z the distance, k is Boltzmann constant and θ is the temperature, the dimensional formula of β will be, M 0 L 2 T 0, M L 2 T, M L 0 T - 1, M L 2 T - 1

MARKS App · Accepted Answer

In given equation, a z k θ should be dimensionless α = k θ z ⇒ α = M L 2 T - 2 K - 1 × K L = M L T - 2 And p = α β ⇒ β = α p = M L T - 2 M L - 1 T - 2 = M 0 L 2 T 0

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