There are two mass less spring A and B of spring constant $K_{A}$ and $K_{B}$ respectively $K_{A} > K_{B}$ . If $W_{A} a n d W_{B}$ be denoted as work done on A andwork done on B respectively, then

Q. There are two mass less spring A and B of spring constant

K_{A}

and

K_{B}

respectively and

K_{A} > K_{B}

. If

W_{A}

and

W_{B}

be denoted as work done on A and work done on B respectively, then

Q. When two springs

A

and

B

with force constant

k_{A}

and

k_{B}

are stretched by the same force, then the respective ratio of the work done on them is

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

The correct option is B If they are compressed by same force (upto equilibrium state) WA<WBIf the springs are compressed to same amount: WA=12KAx2;WB=12KBx2∵KA>KB⇒WA>WB If the springs are compressed by same force. F=KAxA=KBxB;xA=FKA;xB=FKB;WAWB=12KA.F2K2A12KBF2K2B=KBKA<1 Hence, WA<WB

There are two massless springs A and B of spring constant $K_{A}$ and $K_{B}$ respectively and $K_{A} > K_{B}$ . If $W_{A}$ and $W_{B}$ be denoted as work done on A and work done on B respectively, then