A wire of length L and radius r fixed at one end and a force Fapplied to the other end produces an extension l. The extension produced in another wire or the same material of length 2L and radius 2r by a force 2F is .......

A wire of length L and radius r fixed at one end and a force Fapplied

1.	A wire of length L and radius r fixed at one end and a force Fapplied to the other end produces an extension l. The extension produced in another wire or the same material of length 2L and radius 2r by a force 2F is .......
Answer» `l/2` l 2l 4l SOLUTION :`Y= (FL )/(PI r ^(2) l ) and Y. = ((2F) (2L ))/( pi (2r) ^(2) l.) ` `THEREFORE Y= Y.` `therefore ( FL )/( pi r ^(2) l ) = ( 4 FL )/( 4pi r ^(2) l .)` `therefore l . =l`