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Question

Physics Question on Current electricity

Variation of resistance of the conductor with temperature is as shown .The temperature co-efficient (α)(\alpha) of the conductor is

A

R0m\frac{R_0}{m}

B

mR0mR_0

C

m2R0m^2 R_0

D

mR0\frac{m}{R_0}

Answer

mR0\frac{m}{R_0}

Explanation

Solution

Rt=R0(1+αΔt)R_{t}=R_{0}(1+\alpha \Delta t)
where, α\alpha is temperature coefficient of conductor
=R0+R0αΔT=R_{0}+R_{0} \alpha \Delta T
Slope of graph
m=R0αm=R_{0} \alpha
α=mR0\therefore \alpha=\frac{m}{R_{0}}