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 :
Correct Option: , 2
$\left(\frac{\Delta \mathrm{Q}}{\Delta \mathrm{t}}\right)_{\mathrm{A}}=\left(\frac{\Delta \mathrm{Q}}{\Delta \mathrm{t}}\right)_{\mathrm{B}}$
$\mathrm{mS}_{\mathrm{A}}\left(\frac{\Delta \mathrm{T}}{\Delta \mathrm{t}}\right)_{\mathrm{A}}=\mathrm{mS}_{\mathrm{B}}\left(\frac{\Delta \mathrm{T}}{\Delta \mathrm{t}}\right)_{\mathrm{B}}$
$\frac{\mathrm{S}_{\mathrm{A}}}{\mathrm{S}_{\mathrm{B}}}=\frac{\left(\frac{\Delta \mathrm{T}}{\Delta \mathrm{t}}\right)_{\mathrm{A}}}{\left(\frac{\Delta \mathrm{T}}{\Delta \mathrm{t}}\right)_{\mathrm{B}}}=\frac{90 / 6}{120 / 3}=\frac{15}{40}=\frac{3}{8}$