Question

Two springs have their force constant as $k _ { 1 }$ and $k _ { 2 } \left( k _ { 1 } > k _ { 2 } \right)$. When they are stretched by the same force

• 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

Answer 1

Answer: (C)

More work is done in case of second spring

Answer 2

$W = \frac { F ^ { 2 } } { 2 k }$

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.