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 the same material of length 2L and radius 2r is pulled by a force 2f. Then find the increase in length of this wire.

A wire of length L and radius r is clamped rigidly at one end. When th

1.	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 the same material of length 2L and radius 2r is pulled by a force 2f. Then find the increase in length of this wire.
Answer» `l/2` `l` `2l` `4L` Solution :`Y = (FL )/( Al) = (f L )/( pi R ^(2)l )` `therefore l = ( fL )/( pi r ^(*2) Y)` Now for increase in LENGTH for second wire, `l . = ((2 f ) (2L ))/( pi (2r) ^(2) l )= (4F L )/( 4pi r ^(2) l )` `l .=l`