Question

The quantity/ quantities that does/do not have mass in its/their dimensions is/are :
(A) specific heat
(B) latent heat
(C) electrical potential difference
(D) electrical resistance

Answer 1

Hint: The dimension of a physical quantity is defined as the powers to which the fundamental quantities are raised in order to represent that quantity. The seven fundamental quantities are enclosed in square brackets to represent its dimension.

Complete step by step solution
The specific heat of a substance (per unit of mass) has dimension $ {M^0}{L^2}{T^{ - 2}}{K^{ - 1}} $ . Therefore, the SI unit J/K/kg is equivalent to metre squared per second squared per kelvin (m2 K−1 s−2). Specific heat is the amount of heat needed to increase the temperature of 1kg mass by an amount 1kelvin. So it has dimension free from mass.
And latent heat is the heat needed to convert the unit mass of an object from one state to another. So it also does not contain mass.

Note:
In total, there are seven primary dimensions. Primary (sometimes called basic) dimensions are defined as independent or fundamental dimensions, from which other dimensions can be obtained. The primary dimensions are: mass, length, time, temperature, electric current, amount of light, and amount of matter.