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JEE Advanced 2020 Full Test 6 Paper 1
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© examsnet.com
Question : 18
Total: 54
In the given circuit wire
A
B
is of uniform resistance. On closing switch 2 with other two switches open, the balance length AJ is
L
1
. On closing all the switches, the balance length
A
J
1
is
L
2
.
The internal resistance of the battery
V
is
n
R
Ω
.
Find n.
(
L
1
L
2
=
3
)
Your Answer:
Validate
Solution:
When only switch 2 is closed
3
R
V
r
+
3
R
=
V
1
λ
L
λ
L
1
−
−
−
−
−
−
(
i
)
(
λ
-resistance per unit length
)
When all switches are closed
V
R
3
+
r
×
R
3
=
V
1
λ
L
λ
L
2
−
−
−
−
−
−
−
(
i
i
)
Dividing (i) and (ii)
3
R
+
9
r
=
3
r
+
9
R
r
=
R
∴
n
=
1
© examsnet.com
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