A. Specific heat capacity is defined as the amount of heat required to raise the temperature of a body of mass 1 gm by 1 K.

Specific heat capacity can be calculated from the relation -

Heat energy (Q) = mass (m) × specific heat capacity(c) × temperature gradient(ΔT)

From here

Dimensions of Q = [ML²T^-2]

Dimensions of m = [M]

Dimensions of ΔT = [K]

Dimensions of c =

B. Coefficient of linear expansion is defined as the rate of change of length of a body when heat is applied to it per unit temperature change.

Coefficient of linear expansion (α) can be calculated from the relation –

Length at time t (l_t) = initial length (l₀)[1 + α(ΔT)]

where ΔT is the change in temperature

From the relation we have

Dimensions of l_t = [L]

Dimensions of l₀ = [L]

Dimensions of ΔT = [K]

Dimensions of α =

C. Universal Gas constant is the constant of proportionality that appears in the ideal gas equation. It is also equal to the Boltzmann Constant (K_b). It is a physical constant that gives the kinetic energy of a gas for different temperatures.

Gas constant (R) can be found out from the ideal gas equation –

Pressure(P) × Volume(V) = moles(n)× UGC (R) × Temperature (T)

From the relation

Dimensions of P = [ML^-1T^-2]

Dimensions of V = [L³]

Dimensions of n = [mol]

Dimensions of T = [K]

Dimensions of R =