The specific heat of a metal at low temperatures varies according to

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

s=at^3

, where

a

is a constant and

t

is absolute temperature. The heat energy needed to raise unit mass of the metal from

t=1\,\text{K}

t=2\,\text{K}

is (1)

3a

(2)

\frac{15a}{4}

(3)

\frac{2a}{3}

(4)

\frac{13a}{4}