The length of metallic wire is when tension in it is

PHYSICS · Single correct · CBSE · Physics · Mechanical Properties of Solids · Mechanical Properties of Solids

Problem

The length of metallic wire is

\ell_1

when tension in it is

T_1

. It is

\ell_2

when the tension is

T_2

. The original length of the wire will be - (a)

\frac{\ell_1 + \ell_2}{2}

(b)

\frac{T_2 \ell_1 + T_1 \ell_2}{T_1 + T_2}

(c)

\frac{T_2 \ell_1 - T_1 \ell_2}{T_2 - T_1}

(d)

\frac{T_1 \ell_1 - T_2 \ell_2}{T_2 - T_1}