Question

P = `alpha/beta` exp `(-"az"/"K"_"B"theta)`

θ `→` Temperature

P `→` Pressure

K_B `→` Boltzmann constant

z `→` Distance

Dimension of β is ______.

विकल्प

• [M⁰ L⁰ T⁰] 

• [M^-1 L¹ T²] 

• [M⁰ L² T⁰] 

• [ML^-1 T^-2] 

Answer 1

P = `alpha/beta` exp `(-"az"/"K"_"B"theta)`

θ `→` Temperature

P `→` Pressure

K_B `→` Boltzmann constant

z `→` Distance

Dimension of β is [M⁰ L² T⁰] .

Explanation:

[P] = `[alpha]/[beta]`

[αz] = [K_Bθ ] = [PV]

⇒ [α] = MLT^–2

[β] = `[alpha]/["P"]`

= L²