A wire of length ' … ' and radius ' … ' is clamped rigidly at one end. When the other end of the wire is pulled by a force …, its length increases by ' … '. Another wire of same material of length ' … ' and radius ' … ' is pulled by a force ' … '. Then the increase in its length will be :

Option C. Let … be the cross-sectional area of the first wire, and let … be its Young's modulus.

Properties of Matter

JEE Main 2023 · 15 Apr, Morning shift · Q7960

PhysicsHard148×since 2002Q7960

A wire of length '

L

' and radius '

r

' is clamped rigidly at one end. When the other end of the wire is pulled by a force

f

, its length increases by '

l

'. Another wire of same material of length '

2 \mathrm{~L}

' and radius '

2 r

' is pulled by a force '

2 f

'. Then the increase in its length will be :

JEE Main 2023 · 15 Apr, Morning shift · Q7960

PhysicsHard148×since 2002Q7960

A wire of length '

L

' and radius '

r

' is clamped rigidly at one end. When the other end of the wire is pulled by a force

f

, its length increases by '

l

'. Another wire of same material of length '

2 \mathrm{~L}

' and radius '

2 r

' is pulled by a force '

2 f

'. Then the increase in its length will be :