The resistance of a bulb filament is 100$Ω$ at a temperature of 100$_{0}$C. If its temperature coefficient of resistance be 0.005 per $_{0}$C , its resistance will become 200$Ω$ at a temperature of :

A

300$_{0}$C

B

400$_{0}$C

C

500$_{0}$C

D

200$_{0}$C

Medium

Open in App

Solution

Verified by Toppr

Correct option is A)

Given $R_{0}=100Ωat100_{0}c.$ $α=0.005;R=200ΩatT=?$ $⇒(R−R_{0})=R_{0}α(T−T_{0})$ $⇒100=100×10005 (T−T_{0})$ $⇒T=200+T_{0}=300_{0}c$