JEE Main 2022 · 29 Jul · Shift 1 · Physics Q34

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PhysicsSingle correct+4 / -1Question 34 of 90

A smooth circular groove has a smooth vertical wall as shown in figure. A block of mass m moves against the wall with a speed $v$ . Which of the following curve represents the correct relation between the normal reaction on the block by the wall (N) and speed of the block ( $v$ ) ?

A circular groove seen in perspective with a smooth vertical outer wall; a small block moves along the wall with speed v.

N rises as a parabola in v, starting at the origin and curving upward

Option A: N against v, a parabola through the origin curving upward.

N rises linearly from the origin

Option B: N against v, a straight line through the origin.

N is constant, independent of v

Option C: N against v, a horizontal line (constant N).

N rises steeply from the origin and then flattens out

Option D: N against v, rising steeply from the origin then flattening (concave down).

Answer and worked solution

Official answer: A

Centripetal force. The wall supplies it: $N=\dfrac{mv^2}r$ , a parabola through the origin.

(A)

Topics:Circular motion dynamics

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JEE Main 2022 · 29 Jul · Shift 1, Physics question 34