MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Relation between Work Done and PE

There are two...

Question

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

A

If they are compressed to same distance,

W_{A} > W_{B}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

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

W_{A} < W_{B}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

If they are compressed by same distance,

W_{A} < W_{B}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

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

W_{A} > W_{B}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B If they are compressed by same force (upto equilibrium state) $W_{A} < W_{B}$
If the springs are compressed to same amount: $W_{A} = \frac{1}{2} K_{A} x^{2}; W_{B} = \frac{1}{2} K_{B} x^{2} ∵ K_{A} > K_{B} \Rightarrow W_{A} > W_{B}$

If the springs are compressed by same force.
$F = K_{A} x_{A} = K_{B} x_{B}; x_{A} = \frac{F}{K_{A}}; x_{B} = \frac{F}{K_{B}}; \frac{W_{A}}{W_{B}} = \frac{\frac{1}{2} K_{A} . \frac{F^{2}}{K_{A}^{2}}}{\frac{1}{2} K_{B} \frac{F^{2}}{K_{B}^{2}}} = \frac{K_{B}}{K_{A}} < 1$
Hence, $W_{A} < W_{B}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. There are two massless springs A and B of spring constant

K_{A}

K_{B}

respectively and

K_{A} > K_{B}

W_{A}

W_{B}

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

Q. There are two mass less springs

A

B

of spring constant

K_{A}

K_{B}

respectively and

K_{A} > K_{B}

W_{A}

W_{B}

be denoted as work done on

A

and work done on

B

respectively, then:

Q. There are two massless springs A and B of spring constant

K_{A}

K_{B}

respectively and

K_{A} > K_{B}

W_{A}

W_{B}

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

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}

K_{B}

respectively and

K_{A} > K_{B}

W_{A}

W_{B}

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

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Conservative Forces and Potential Energy

PHYSICS

Watch in App

explore_more_icon

Explore more

Relation between Work Done and PE

Standard XIII Physics

Join BYJU'S Learning Program

CrossIcon