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Physics Transmission of Heat General MCQ (Single Correct)

A solid aluminium sphere and a solid copper sphere of twice the radius of aluminium are heated to the same temperature and are allowed to cool under identical surrounding temperatures. Assume that the emissivity of both the sphere is the same. Find the initial ratio of

A
the rate of heat loss from the aluminium sphere to the rate of heat loss from the copper sphere and
B
the rate of fall of temperature of the aluminium sphere to the rate of fall of temperature of the copper sphere. The specific heat capacity of aluminium = 900 J/kg–°C and that of copper = 390 J/kg–°C. The density of copper = 3.4 times the density of aluminium.

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Text Solution

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The correct answer is:
CHECK THE SOLUTION.

[ 1 : 4; 2.9 : 1]

e Al = e cu

C – cooling rate

H – heat loss

=

at t = 0, T A λ = T cu = T.

= = = .

C – cooling rate

=

= = = 2.9

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