Question

Two different metal bodies A and B of equal mass are heated at a uniform rate under similar conditions. The variation of temperature of the bodies, with time, is graphically represented as shown in the figure. The ratio of specific heat capacities is :


Temp T(°C) Time (f min.)

• A. $\frac{8}{3}$
• B. $\frac{3}{4}$
• C. $\frac{3}{8}$
• D. $\frac{4}{3}$

Answer 1

The correct option is C $\frac{3}{8}$

As the heat is supplied at the same rate, to both the bodies,

$\therefore {\left(\frac{\Delta Q}{\Delta t}\right)}_A={\left(\frac{\Delta Q}{\Delta t}\right)}_B$

$m{S}_A{\left(\frac{\Delta T}{\Delta t}\right)}_A=m{S}_B{\left(\frac{\Delta T}{\Delta t}\right)}_B$

$\frac{S_A}{S_B}=\frac{{\left(\frac{\Delta T}{\Delta t}\right)}_B}{{\left(\frac{\Delta T}{\Delta t}\right)}_A}=\frac{\frac{90}{6}}{\frac{120}{3}}=\frac{15}{40}=\frac{3}{8}$

Hence, $\left(B\right)$ is the correct answer.