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The length of the resistance wire is inc...

The length of the resistance wire is increased by `10%`. What is the corresponding change in the resistance of wire?

A

`10%`

B

`25%`

C

`21%`

D

`9%`

Text Solution

Verified by Experts

The correct Answer is:
C

`(R _(1))/( R _(2)) = (( l _(1))/( l _(2))) ^(2), If l _(1) = 100` then `l _(2) = 100`
`(R _(1))/( R _(2)) = ((100)/(110)) ^(2) implies R_(2) = 1. 21 R _(1)`
% change `(R _(2) - R _(1))/(R _(1)) xx 100 = 21 %`
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