question_answer

Two wires of copper are given. Wire A: length \[\ell \] and radius r, wire B: length \[\ell \] and radius 2r. If Young's modulus for wire A is \[{{Y}_{A}}\] and for wire B is\[{{Y}_{B}}\]. Then -

A) \[{{Y}_{A}}=4{{Y}_{B}}\]      

B)        \[4{{Y}_{A}}={{Y}_{B}}\]

C) \[{{Y}_{A}}={{Y}_{B}}\]      

D)        \[{{Y}_{A}}=2{{Y}_{B}}\]