• # question_answer Two springs have their force constant as ${{k}_{1}}$ and ${{k}_{2}}({{k}_{1}}>{{k}_{2}})$. When they are stretched by the same force            [EAMCET 1981] A)             No work is done in case of both the springs B)             Equal work is done in case of both the springs C)             More work is done in case of second spring D)             More work is done in case of first spring

$W=\frac{{{F}^{2}}}{2k}$             If both springs are stretched by same force then$W\propto \frac{1}{k}$             As ${{k}_{1}}>{{k}_{2}}$ therefore ${{W}_{1}}<{{W}_{2}}$             i.e. more work is done in case of second spring.