List of top Physics Questions on elastic moduli asked in AIIMS

In designing, a beam for its use to support a load. The depression at centre is proportional to (where, $Y$ is Young?s modulus)

A force $F$ is applied on the wire of radius $r$ and length $L$ and change in the length of wire is $l$. If the same force $F$ is applied on the wire of the same material and radius $2\, r$ and length $2\, L$, then the change in length of the other wire is