- Amove down with almost constant speed
- Bmove down with an acceleration equal to
- Cmove down with an acceleration greater than
- Doscillate inside the tube
View written solutionFree
Correct answer: A
- Physical situation
A bar magnet is released inside a long vertical copper tube along its axis.
As the magnet falls, the magnetic flux through the conducting tube changes with time.
- Induced currents in the copper tube
Because the tube is a conductor, the changing flux induces eddy currents in the tube.
By Lenz's law, the induced currents produce a magnetic field that opposes the change causing them.
- If the magnet is moving downward, the induced magnetic effect opposes its downward motion.
- Therefore, an upward magnetic retarding force acts on the magnet.
- Effect on motion
Initially, the magnet starts from rest, so the induced current is small.
- At first, it accelerates downward due to gravity.
- As speed increases, the rate of change of flux increases.
- Hence induced eddy currents increase.
- So the upward magnetic braking force also increases.
- Terminal speed
After some time, the upward magnetic force becomes equal to the weight of the magnet:
Then net force becomes zero:
So acceleration becomes zero, and the magnet continues to move with constant speed (terminal velocity).
Thus it will move down with almost constant speed.
- Checking options
- A: move down with almost constant speed — Correct.
- B: move down with an acceleration equal to — Wrong, because eddy currents produce an opposing force.
- C: move down with an acceleration greater than — Wrong, impossible here since magnetic force opposes motion.
- D: oscillate inside the tube — Wrong, no restoring mechanism for sustained oscillation; instead there is damping.
Final Answer
The magnet eventually falls with an almost constant terminal speed due to magnetic braking by eddy currents.
More from Magnetic Properties of Matter
- Given below are two statements: Statement I : For diamagnetic substance, $$-1 \leq \chi Statement II : Diamagnetic substances when placed in an external magnetic field, tend to move from stronger to weaker part of the field. In the light…2023 · MCQ
- The free space inside a current carrying toroid is filled with a material of susceptibility . The percentage increase in the value of magnetic field inside the toroid will be2023 · MCQ
- Given below are two statements: Statement I : The diamagnetic property depends on temperature. Statement II : The induced magnetic dipole moment in a diamagnetic sample is always opposite to the magnetizing field. In the light of given…2023 · MCQ
- A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2 m long and 0.2 m in diameter. The magnetic intensity at the center of the solenoid when a current of 2 A flows through it is :2023 · MCQ
- A bar magnet with a magnetic moment is placed in parallel position relative to a magnetic field of . The amount of required work done in turning the magnet from parallel to antiparallel position…2023 · MCQ
- The soft-iron is a suitable material for making an electromagnet. This is because soft-iron has2022 · MCQ
- Given below are two statements : Statement I : Susceptibilities of paramagnetic and ferromagnetic substances increase with decrease in temperature. Statement II : Diamagnetism is a result of orbital motions of electrons developing magnetic…2022 · MCQ
- A bar magnet having a magnetic moment of 2.0 105 JT 1, is placed along the direction of uniform magnetic field of magnitude B = 14 10 5 T. The work done in rotating the magnet slowly through 60 from the…2022 · MCQ