A rope 1 cm in diameter breaks, if the tension in it exceeds 500N. The maximum tension that may be given to similar rope of diameter 3 cm is

see full answer

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*

An Intiative by Sri Chaitanya

500 N

3000 N

4500 N

2000 N

answer is C.

(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

Breaking stress for both ropes would be same.

$\frac{T_{\max_{1}}}{π \times {(\frac{1}{2})}^{2}} = \frac{T_{\max_{2}}}{π {(\frac{3}{2})}^{2}}$

$\Rightarrow T_{\max_{2}} = 9 \times T_{\max_{1}} = 4500 N$

Watch 3-min video & get full concept clarity