Q.

A thick rope of density ρ and length L is hung from a rigid support. The increase in length of the rope due to its own weight is (Y is the Young's modulus)

see full answer

Want to Fund your own JEE / NEET / Foundation preparation ??

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*
An Intiative by Sri Chaitanya

a

14YρL2g

b

12YρL2g

c

ρL2gY

d

ρLgY

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

As the weight of wire acts at centre of gravity.

Only half the length of wire gets extended.

Now Y = FA.(L2)l = Mg(L2)Al

l = MgL2AY     l = ALρgL2AY

l = ρL2g2Y

So the correct choice is (2)

Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon