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Two metallic spheres A and B of same material with mass of A double that of B,at same temperature are allowed to cool.The ratio of rates of cooling of A and B is Ans-(1/2) 1/3

Two metallic spheres A and B of same material with mass of A double that of B,at same temperature are allowed to cool.The ratio of rates of cooling of A and B is 
Ans-(1/2)1/3

Grade:12th pass

2 Answers

ROSHAN MUJEEB
askIITians Faculty 829 Points
one year ago
pfa632-1925_92445572_225741618669554_2209559050847256576_n.jpg
Vikas TU
14149 Points
one year ago
According to Stefan's law
ΔQ=eσAT^4Δt
also ΔQ=mcΔT⇒ΔQ=mcΔT=eσAT^4Δt
⇒ΔTΔt=eσAT^4/mc=eσT^4/mc*[π(3m4/πp)^2/3]
=k(1/m)^1/3
(ΔT1/Δt1)/(ΔT2/Δt2)=(m2/m1)^1/3=(1/3)^1/3
 

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