The specific heat of a metal at low temperatures varies according to S = aT³ where a is a constant and T is the absolute temperature. The heat energy needed to raise unit mass of the metal from T = 1 K to T = 2 K is :-
Options

Question

The specific heat of a metal at low temperatures varies according to S = aT³ where a is a constant and T is the absolute temperature. The heat energy needed to raise unit mass of the metal from T = 1 K to T = 2 K is :-

Options

G1 Physics · Accepted Answer

The required heat per unit mass is Q=∫₁² C dT=∫₁² aT³ dT =a[T⁴/4]₁²=a(16−1)/4=15a/4. Option B.