Verified Solution • 2025–26 Session moderate

QAIPMT-2007-Ph-2368: NEET 2007 Physics - Class 12 AIPMT-2007-Ph-2368 Solution: A vertical spring with force constant k is fixed on a table. A…

A vertical spring with force constant k is fixed on a table. A ball of mass m at a height h above the free upper end of the spring falls vertically on the spring so that the spring is compressed by a distance d. The net work done in the process is mg(h+d)−12kd2mg(h+d) - \frac{1}{2}kd^2 mg(h−d)−12kd2mg(h-d) - \frac{1}{2}kd^2 mg(h−d)+12kd2mg(h-d) + \frac{1}{2}kd^2 mg(h+d)+12kd2mg(h+d) + \frac{1}{2}kd^2

Multiple Choice Options

  • A depends on R and not on v
  • B is independent of both v and R
  • C depends on both v and R
  • D depends on v and not on R

Step-by-Step Verified Solution

For the circular motion in a cyclotron, q v B = m v 2 r _ q B = m _ = m _ 2 � T _ T = 2 � m q B is independent of v and r.

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