Thermal Properties of Matter

JEE Main level, single correct, medium

9 of 126

Question 9 of 126

Two different metal bodies AA and BB 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:

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Answer: (B) 38\dfrac{3}{8}

(ΔQΔt)A=(ΔQΔt)B{\left(\dfrac{\Delta Q}{\Delta t}\right)}_{A}={\left(\dfrac{\Delta Q}{\Delta t}\right)}_{B}
mSA(ΔTΔt)A=mSB(ΔTΔt)Bm{S}_{A}{\left(\dfrac{\Delta T}{\Delta t}\right)}_{A}=m{S}_{B}{\left(\dfrac{\Delta T}{\Delta t}\right)}_{B}
SASB=(ΔTΔt)A(ΔTΔt)B=90/6120/3=1540=38\dfrac{{S}_{A}}{{S}_{B}}=\dfrac{{\left(\dfrac{\Delta T}{\Delta t}\right)}_{A}}{{\left(\dfrac{\Delta T}{\Delta t}\right)}_{B}}=\dfrac{90/6}{120/3}=\dfrac{15}{40}=\dfrac{3}{8}

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