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10-1.Thermometry, Thermal Expansion and Calorimetry
medium
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
$\frac{4}{3}$
(JEE MAIN-2021)
Solution
$\left(\frac{\Delta Q }{\Delta t }\right)_{ A }=\left(\frac{\Delta Q }{\Delta t }\right)_{ B }$
$mc _{ A }\left(\frac{\Delta T }{\Delta t }\right)_{ A }= mc _{ B }\left(\frac{\Delta T }{\Delta t }\right)_{ B }$
$\frac{c_{ A }}{c _{ B }}=\frac{\left(\frac{\Delta T }{\Delta t }\right)_{ A }}{\left(\frac{\Delta T }{\Delta t }\right)_{ B }}=\frac{90 / 6}{120 / 3}=\frac{15}{40}=\frac{3}{8}$
Standard 11
Physics
