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JEE Main · 2022 · 29 Jul 2022 · Shift 1 · Laws of Motion

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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) ?
  1. (A)(see structure)
    ✓ Correct
  2. (B)(see structure)
  3. (C)(see structure)
  4. (D)(see structure)

Answer: (A)

Solution

For circular motion, the centripetal force is provided by the normal reaction from the wall: . This shows , which is a parabolic relationship. The graph of versus is a parabola passing through the origin with equation where . Option (A) shows this correct parabolic curve.

JEE Main · 2022 · 29 Jul 2022 · Shift 1 · Single correct option

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