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MHT CET 2017 Physics Solved Paper
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© examsnet.com
Question : 4
Total: 50
Two unknown resistances are connected in two gaps of a meter-bridge. The null point is obtained at 40 cm from left end. A 30 Ω resistance is connected in series with the smaller of the two resistances, the null point shifts by 20 cm to the right end. The value of smaller resistance in Ω is
12
24
36
48
Validate
Solution:
(b) From question,
I
X
=
40
c
m
,
I
R
=
60
c
m
.
using principle of metre-bridge,
X
R
=
I
X
I
R
=
40
60
=
2
3
...(i)
When 30 Ω resistance is connected in series with the smaller of the two resistances
X
+
30
R
=
60
40
=
3
2
⇒
R
=
2
(
X
+
30
)
3
...(ii)
From eqs. (i) and (ii),
X
2
(
X
+
30
3
)
=
2
3
⇒
3
X
2
(
X
+
30
)
=
2
3
or, 9X = 4X + 120 ⇒ 5X = 120
∴ X = 24 Ω
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