Resistance of tungsten wire at `150^(@)C` is `133 Omega`. Its resistance temperature coefficient is `0.0045//^(@)C`. The resistance of this wire at `500^(@)C` will be

Options

A. `180 Omega`
B. `225 Omega`
C. `258 Omega`
D. `317 Omega`

Answer

C

Explanation

`R_(1)/R_(2) = (1 + alpha xx 150)/(1 + alpha xx 500) =(1 + 0.0045 xx 150)/(1 + 0.0045 xx 500)`
`rArr R_(2) = 258 Omega`