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Questions  

A solid cube and a solid sphere of the same material have equal surface area. Both are at the same temperature 1200C, then 

a
Both the cube and the sphere cool down at the same rate
b
The cube cools down faster than the cube
c
The sphere coolds down faster than the cube
d
Whichever is having more mass will cool down faster

detailed solution

Correct option is B

Rate of cooling of a body R = ∆θt = Aεσ(T4-T04)mc⇒ R directly proportional to Am directly proportional to AreaVolumeVolume of cube < Volume of sphere⇒ Rcube > Rsphere i.e., cube, cools down with faster rate

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A body of length 1 m having cross sectional area 0.75 m2 has heat flow through it at the rate of 6000 Joule/sec. Then find the temperature difference if K = 200 Jm-1 K-1


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