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Heat and Thermodynamics question

2020 · Q148
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Heat and Thermodynamics question

2020 · Q148

NEETPhysicsHeat and ThermodynamicsMCQ+4 / −1
The quantities of heat required to raise the temperature of two solid copper spheres of radii r1 and r2 (r1 = 1.5r2) through 1 K are in the ratio :
  1. A
    94{9 \over 4}49​
  2. B
    32{3 \over 2}23​
  3. C
    53{5 \over 3}35​
  4. D
    278{27 \over 8}827​
View written solutionFree

Correct answer: D

ΔQ=msΔT\Delta Q = ms\Delta TΔQ=msΔT

ΔQ=43ρsΔT\Delta Q = {4 \over 3}\rho s\Delta TΔQ=34​ρsΔT

ΔQ1ΔQ2=r13r23=1.53=278{{\Delta {Q_1}} \over {\Delta {Q_2}}} = {{r_1^3} \over {r_2^3}} = {1.5^3} = {{27} \over 8}ΔQ2​ΔQ1​​=r23​r13​​=1.53=827​

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