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The resistance of a wire at room tempera...

The resistance of a wire at room temperature `30^(@)C` is found to be `10 Omega` . Now to increase the resistance by `10%` , the temperature of the wire must be [ The temperature coefficient of resistance of the material of the wire is `0.002` per `.^(@)C`]

A

`36^(@)` C

B

`83^(@)` C

C

`63^(@) C`

D

`33^(@) C`

Text Solution

Verified by Experts

The correct Answer is:
B
`R_(1) = 10 Omega, R_(2) = 10 + 10 xx 10/100 = 11 Omega`
`R_(1)/R_(2) = (1 + alpha xx 30)/(1 + alpha xx t) rArr 10/11 = (1 + 0.002 xx 30)/(1 + 0.0.002 xx t)`
`rArr 10 + 0.02t = 11 + 0.002 xx 30 xx 11`
`rArr t = 83^(@)` C
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