A silver wire has a resistance of $2.1\, \Omega$ at $27.5^{\circ} {C}$ and a resistance of $2.7\, \Omega$ at $100^{\circ} {C}$. Determine the temperature coefficient of resistivity of silver.

JEE PHYSICS MCQ: CURRENT ELECTRICITY

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Application +4 | -1

A silver wire has a resistance of

2.1\, \Omega

27.5^{\circ} {C}

and a resistance of

2.7\, \Omega

100^{\circ} {C}

. Determine the temperature coefficient of resistivity of silver.

View answer and explanation

Correct option: C

0.0039 /{ }^{\circ} {C}

Option C (

0.0039 /{ }^{\circ} {C}

) is correct because it is the temperature coefficient of resistivity calculated using the given resistance values at two different temperatures.

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\mathrm{\rho }

3\,\,{\mathrm{m}^3}

3\,\,\mathrm{\Omega }

4.7\,\, \times \,\,{10^6}\,\,\mathrm{\Omega }\,\, \pm \,\,5\,\,\%

22.5\,cm