Skip to content
dronacharya.ai
← JEE Main 2022 · 29 Jul · Shift 2
PhysicsInteger+4 / -1Question 51 of 90

JEE Main 2022 · 29 Jul · Shift 2, Physics question 51

A tube of length 50 cm is filled completely with an incompressible liquid of mass 250 g and closed at both ends. The tube is then rotated in horizontal plane about one of its ends with a uniform angular velocity xFx\sqrt F rad s−1^{-1}. If F be the force exerted by the liquid at the other end then the value of xx will be _______.

Answer and worked solution

Official answer: 4

Centripetal force on the liquid acts at its centre of mass: F=mω2L2=0.25⋅x2F⋅0.25F=m\omega^2\frac L2=0.25\cdot x^2F\cdot0.25, so x2=16x^2=16, x=4x=4.

Answer: 4