Question

Dimensional formula of mechanical equivalent of heat?

Answer 1

Mechanical equivalent of heat (J) = Amount of Work (W) / units of Heat (Q).

Dimensional Formula of Work = M1L2T-2
Dimensional Formula of Heat = M1L2T-2

substituting these values we get,

Dimensional Formula of Mechanical equivalent of heat (J) = M0L0T-0 . we can also say Mechanical equivalent of heat (J) is dimensionless quantity.
SI unit of Mechanical equivalent of heat (J) is Joules/calorie (J calorie-1 ).

Answer 2

Answer:

Mechanical equivalent of heat is defined as the amount of work done to produce 1 cal of heat.

Therefore, mechanical equivalent= work/ heat

= ML^2 T^-2/ ML2T^-2

Hence, it is dimensionless quantity ....

hope you understand.....