Question

# There are two mass less spring A and B of spring constant KA  and KB respectively KA>KB . If WA and WB be denoted as work done on A andwork done on B respectively, then

A

if they are compressed to same distance,

B

if they are compressed by same force (upto equilibrium state)

C

if they are compressed by same distance,

D

if they are compressed by same force (upto equilibrium state)

Solution

## The correct options are A if they are compressed to same distance, B if they are compressed by same force (upto equilibrium state)  WA=12KAx2;WB=12KBx2 ∵KA>KB⇒WA>WB If the springs are compressed by same force F=KAxA=KBxB;xA=FKA;xB=FKB; WAWB =12KAF2K2A12KBF2K2B=KBKA WA<WB

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