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The work done in turning a magnet of magneticmoment M by an angle of 90° from the meridian,is n times the corresponding work done to turnit through an angle of 60°. The value of n isgiven by      [1995]
  • a)
    2
  • b)
    1
  • c)
    0.5
  • d)
    0.25
Correct answer is option 'A'. Can you explain this answer?

Mihir Yadav answered
Degrees is given by:

W = MΔθ

where W is the work done, M is the magnetic moment of the magnet, and Δθ is the angle through which the magnet is turned.

If the angle of rotation is 90 degrees, then Δθ = 90 degrees. Therefore, the work done in turning the magnet by 90 degrees is:

W = M × 90

W = 90M

So, the work done is directly proportional to the magnetic moment of the magnet. The larger the magnetic moment, the more work is required to turn the magnet.

If a diamagnetic substance is brought near northor south pole of a bar magnet, it is [1999]
  • a)
    attracted by the poles
  • b)
    repelled by the poles
  • c)
    repelled by north pole and attracted by thesouth pole
  • d)
    attracted by the north pole and repelled bythe south pole
Correct answer is option 'B'. Can you explain this answer?

Sneha Basak answered
Diamagnetic substances do not have any unpaired electron. And they are magnetised in direction opposite to that of magnetic field.
Hence, when they are brought to north or south pole of a bar magnet, they are repelled by poles.

A short bar magnet of magnetic moment 0.4J T–1 is placed in a uniform magnetic field of 0.16 T. Themagnet is in stable equilibrium when the potentialenergy is [2011M]
  • a)
    –0.064 J
  • b)
    zero
  • c)
    –0.082 J
  • d)
    0.064 J
Correct answer is option 'A'. Can you explain this answer?

Snehal Iyer answered
-1
is placed in a uniform magnetic field of 0.2T. If the magnet is free to rotate, what will be the torque experienced by the magnet?

The torque experienced by the magnet can be calculated using the formula:

τ = m × B × sinθ

where τ is the torque, m is the magnetic moment of the magnet, B is the magnetic field strength, and θ is the angle between the magnetic moment vector and the magnetic field vector.

In this case, the magnetic moment of the magnet is 0.4 J T-1, the magnetic field strength is 0.2 T, and since the magnet is free to rotate, we can assume that the angle between the magnetic moment vector and the magnetic field vector is 90 degrees. Therefore, we can calculate the torque as:

τ = 0.4 J T-1 × 0.2 T × sin 90°
τ = 0.08 J

So, the torque experienced by the magnet is 0.08 J.

If the magnetic dipole moment of an atom ofdiamagnetic material, paramagnetic material andferromagnetic material are denoted by μd, μp andμf respectively, then [2005]
  • a)
    μd = 0 and μp ≠ 0
  • b)
    μd ≠0 and μp =0
  • c)
    μp = 0 and μf ≠0
  • d)
    μd ≠0 and μf ≠0
Correct answer is option 'A'. Can you explain this answer?

Rajesh Datta answered
The magnetic dipole moment of diamagnetic material is zero as each of its pair of electrons
have opposite spins, i.e., μd = 0.
Paramagnetic substances have dipole
moment > 0, i.e. μp ≠ 0, because of excess of electrons in its molecules spinning in the same direction.
Ferro-magnetic substances are very strong magnets and they also have permanent magnetic moment, i.e. μf ≠ 0.

A bar magnet, of magnetic moment  , is placed in a magnetic field of induction  . The torque exerted on it is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?

We know that when a bar magnet is placed in the magnetic field at an angle θ, then torque acting on the bar magnet (τ)
Note : This torque τ has a tendency to make the axis of the magnet parallel to the direction of the magnetic field.

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