Skip to content
dronacharya.ai
← JEE Main 2022 · 25 Jun · Shift 2
PhysicsInteger+4 / -1Question 53 of 90

JEE Main 2022 · 25 Jun · Shift 2, Physics question 53

A block of mass 200 g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F=xF=\sqrt x N as shown in figure.

The value of x=x= ______.

A 200 g block on a smooth plane inclined at 60° to the horizontal, held by a horizontal force F pushing towards the incline.
Answer and worked solution

Official answer: 12

Balance along the smooth incline: Fcos⁡60°=mgsin⁡60°F\cos60°=mg\sin60°, so F=mgtan⁡60°=0.2×10×3=23=12F=mg\tan60°=0.2\times10\times\sqrt3=2\sqrt3=\sqrt{12} N.

So x=12x=12.

Answer: 12