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 is graphically represented as shown in the figure. The ratio of specific heat capacities is :

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

Answer 1

Answer: (B)

$\left(\frac{\Delta Q}{\Delta t}\right)_{A}=\left(\frac{\Delta Q}{\Delta t}\right)_{B}$
$m S_{A}\left(\frac{\Delta T}{\Delta t}\right)_{A}=m S_{B}\left(\frac{\Delta T}{\Delta t}\right)_{B}$
$\frac{S_{A}}{S_{B}}=\frac{\left(\frac{\Delta T}{\Delta t}\right)_{A}}{\left(\frac{\Delta T}{\Delta t}\right)_{B}}$
$=\frac{90 / 6}{120 / 3}=\frac{15}{40}=\frac{3}{8}$