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Question

A resistance wire connected in the left gap of a meter bridge balances a 10 Ω resistance in the right gap at a point which divides the bridge wire in the ratio 3:2. If the length of the resistance wire is 1.5 m, then the length of 1 Ω of the resistance wire is:

A
1.5×101 m
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B
1.5×102 m
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C
1.0×102 m
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D
1.0×101 m
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Solution

The correct option is D 1.0×101 m
Line diagram of a meter bridge:

Referring the figure,

R:S=3:2

S=10 Ω

Now, the ratio of resistances can be written as,

RS=32

R=32×10

R=15 Ω

If the length of the resistance wire having resistance 15 Ω is 1.5 m, so the length of the wire having resistance 1 Ω will be,

L=1.515×1

L=1×101 m

Hence, option (d) is correct answer.

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