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JEE Main 2022 (29 Jul, Shift 1) · Centripetal Acceleration & Force

Centripetal Acceleration & Force question from JEE Main 2022 (29 Jul, Shift 1)

Q30JEE Main 2022 · 29 JUL · SHIFT 1Medium

Centripetal Acceleration & Force

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)?

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Answer: (a)

The wall's normal reaction provides the centripetal force: $N = \frac{mv^2}{R}$ .
So $N \propto v^2$ : a parabola through the origin, curving upward.
So the answer is (a).

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