Deduce dimensional formulae of - (i) Boltzmann's constant (ii) mechanical equivalent of heat.

Deduce dimensional formulae of - (i) Boltzmann's constant (ii) mechan

1.	Deduce dimensional formulae of - (i) Boltzmann's constant (ii) mechanical equivalent of heat.
Answer» Solution :(i) BOLTZMANN CONSTANT: `k = ("Heat")/("TEMPERATURE") rArr [k] = ([ML^(2)T^(2)])/([K]) = [M^(1)L^(2)T^(-2)K^(-1)]` (ii) [J] = `[("WORK")/("Heat")] = ([M^(1)L^(2)T^(-2)])/([M^(1)L^(2)T^(-2)]) = [M^(0)L^(0)T^(0)]`