A mass of 100 gm is tied to one end of a

Your Ultimate Guide to JEE & NEET Question Solutions

A mass of $100\, gm$ is tied to one end of a string $2 \,m$ long. The body is revolving in a horizontal circle making a maximum of $200$ revolutions per min. The other end of the string is fixed at the centre of the circle of revolution. The maximum tension that the string can bear is ..........  $N$. (approximately)

A

$8.76$

B

$8.94$

C

$89.42$

D

$87.64$

A mass of $100\, gm$ is tied to one end of a string $2 \,m$ long. The body is revolving in a horizontal circle making a maximum of $200$ revolutions per min. The other end of the string is fixed at the centre of the circle of revolution. The maximum tension that the string can bear is ..........  $N$. (approximately)

Maximum tension$ = m{\omega ^2}r$= $m \times 4{\pi ^2} \times {n^2} \times r$

By substituting the values we get Tmax $ = 87.64\,N$