Question

A rope 2 cm in diameter breaks if the tension in it exceeds 500 N. The maximum tension that may be given to a similar rope of diameter 3 cm is

• A. 500 N
• B. 1250 n
• C. 1125 N
• D. 2000 N

Answer 1

The correct option is D 2000 N

We know that tension in rope is directly proportional to $r^2.$
so$,$ if we double the diameter the radius also doubles and tension is $4$ times.
so$,$ maximum tension will be $2000N.$

Hence,

option $\left(D\right)$ is correct answer.