ThermodynamicsHard
Question
Two metallic spheres S1 and S2 are made of the same material and have got identical surface finish. The mass of S1 is thrice of S2. Both the spheres are heated to the same high temperature and placed in the same room having lower temperature but are thermally insulated from each other. The ratio of the initial rate of cooling of S1 to that of S2 is
Options
A.
B.
C.
D.
Solution
The rate at which energy radiates from the object is
= eσAT4
Since, ᐃQ = mc ᐃT , we get
Also, since m =
for a sphere, we get
A = 4π2r = 4π
Hence,
For the given two bodies
= eσAT4 Since, ᐃQ = mc ᐃT , we get
Also, since m =
for a sphere, we get A = 4π2r = 4π
Hence,
For the given two bodies
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