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At what temperature will the resistance ...

At what temperature will the resistance of a copper wire become three times its value at `0^(@)C` (Temperature coefficient of resistance for copper `= 4 xx 10^(-3)` per C)

A

`400^(@) C`

B

`450^(@)` C

C

`500^(@)` C

D

`550^(@)` C

Text Solution

Verified by Experts

The correct Answer is:
C
`R_(1) = R_(0) (1 + alphat) rArr 3R_(0) =R_(0)(1 + alphat)`
`=2/alpha = t rArr t = 2/(4 xx 10^(-3)) = 500^(@)` C
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