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JEE Advanced 2020 Full Test 1 Paper 1
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© examsnet.com
Question : 6
Total: 54
A long uniform solid cylinder of radius
r
and resistivity
ρ
carries current '
l
' along its length which is uniformly distributed throughout its cross sectional area. Two long hollow cylinder
B
and
C
of radii
8
r
and
64
r
surrounds the solid cylinder. The surface of all cylinder
A
,
B
and
C
are perfectly black. At equilibrium, the temperature of B is
400
K
.
[
Take
σ
r
3
ρ
=
10
−
8
π
2
S.I unit,
σ
=
Stefan's constant
]
.
Then, at equilibrium.
Temperature of
A
is approximately
565
(
3
)
1
4
K
Temperature of
C
is
200
K
The ratio of temperature of
B
and
C
is 2
The current ' ' ' in solid conductor is
32
√
2
A
Validate
Solution:
Let temperature of
A
,
B
and
C
are
T
1
,
T
2
and
T
3
respectively. Then Equating power for
C
T
2
=
2
T
3
−
−
−
(
1
)
T
1
4
=
(
256
−
64
)
T
3
4
T
1
=
2
√
2
3
1
4
T
3
−
−
−
(
2
)
T
1
4
+
64
T
3
4
=
16
T
2
4
−
−
−
(
3
)
i
2
ρ
ℓ
π
r
2
+
σ
2
π
8
r
ℓ
T
2
4
=
σ
2
π
r
ℓ
T
1
4
.
−
−
−
(
4
)
© examsnet.com
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