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Standard IX
Physics
Resistance
Question
A wire has a resistance of 10 ohm. Its resistance if it is stretched by one-tenth of its original length is:
7.9
Ω
12.1
Ω
11
Ω
9
Ω
A
12.1
Ω
B
7.9
Ω
C
11
Ω
D
9
Ω
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Solution
Verified by Toppr
The resistance,
R
, of a wire of length
l
is given by,
R
=
ρ
l
A
.
Now if the wire is stretched keeping the volume intact then:
R
=
ρ
l
2
V
.
Now
R
∝
l
2
. According to the question, we get,
R
2
R
1
=
(
l
2
)
2
(
l
1
)
2
But
R
1
=
10
Ω
,
l
2
l
1
=
11
10
.
⇒
R
2
10
=
121
100
⇒
R
2
=
12.1
Ω
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