A nichrome heating element has a resistance of at

PHYSICS · Single correct · CBSE · Physics · Current Electricity · Current Electricity

Problem

A nichrome heating element has a resistance of

12\,\Omega

25\,^{\circ}\text{C}

. The temperature coefficient of resistivity for nichrome is

\alpha = 0.00040\,^{\circ}\text{C}^{-1}

. If the element’s temperature rises uniformly to

225\,^{\circ}\text{C}

while connected to a constant-voltage power supply, what is its resistance at the higher temperature? (a)

17\,\Omega

(b)

12\,\Omega

(c)

13\,\Omega

(d)

9.6\,\Omega