Question

Dimensional formula for Boltzmann’s constant is .........

(a) M¹L¹T^-2K^-1

(b) M²L¹T^-2K^-1

(c) M¹L²T^-2K^-1

(d) M²L²T¹K^-2

Answer 1

Dimensional formula for Boltzmann’s constant is M¹L¹T^-2K^-1  

Explanation:

Boltzmann’s constant = [(Energy) / (Temperature)]

Energy = Force × distance = F ∙ S = m ∙ a ∙ s

 (as Force = mass × acceleration)

 ∴ Boltzmann’s constant – (E / Temp) = ([M¹L¹T^–2L] / [K]) = [M¹L²T^–2K^–1]