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Deduce dimensional formulae of - (i) B...

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

Text Solution

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(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)]`
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