There are two brass spheres at the same temperature. If their radii are in the ratio 2.3. The ratio of their thermal capacities is
(A) 4:9
(B) 2:3
(C) 8:27
(D) 27:8
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Explanation:
R
2
R
1
=
2
1
,d
1
=d
2
,S
1
=S
2
(as they are of same material)
C
2
C
1
=
m
2
S
2
m
1
S
1
=
d
2
V
2
d
1
V
1
S
2
S
1
⇒
V
2
V
1
=
R
2
3
R
1
3
=
2
3
1
3
∴C
1
:C
2
=1:8
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