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Magnetism and Matter

JEE Main 2025 (Online) 28th January Evening ShiftMultiple CorrectHard📈 Topic in 7% papers+4−1
Ques. 1JEE Main 2025, 28 January (Evening Shift)

[figure] A bar magnet has total length 2l = 20 units and the field point P is at a distance d = 10 units from the centre of the magnet. If the relative uncertainty of length measurement is 1\%, then uncertainty of the magnetic field at point P is :

  1. 10%
  2. 5%
  3. 3%
  4. 4%

Answer

(3) 3%, (4) 4%

Solution

P lies on the perpendicular bisector (equatorial line) of the magnet:

B = 04 M(d2+l2)3/2, with l = 10, d = 10

Both lengths are measured with ll = dd = 1\%, i.e. l = d = 0.1

(d2+l2) = 2d d + 2l l = 2 + 2 = 4

(d2+l2)d2+l2 = 4200 = 2\%

(i) Magnetic moment M taken as given (no error):

BB = 32 2\% = 3\%

(ii) M = m(2l) with pole strength m fixed, so M also carries the 1% length uncertainty:

BB = ll + 32 2\% = 1\% + 3\% = 4\%

The uncertainty in B is 3% or 4%.

Answer: (3), (4)

Keep practising — Magnetism and Matter

Ques. 2JEE Main 2024, 9 April (Evening Shift)

A straight magnetic strip has a magnetic moment of 44 Am2. If the strip is bent in a semicircular shape, its magnetic moment will be Am2. (given = 227)

Ques. 3JEE Main 2024, 8 April (Morning Shift)

Paramagnetic substances: Choose the most appropriate answer from the options given below:

  1. A, B, C Only
  2. A, C Only
  3. A, B, C, D
  4. B, D Only
Ques. 4JEE Main 2024, 8 April (Evening Shift)

The coercivity of a magnet is 5 103 A/m. The amount of current required to be passed in a solenoid of length 30 cm and the number of turns 150, so that the magnet gets demagnetised when inside the solenoid is A.

Ques. 5JEE Main 2024, 6 April (Morning Shift)

A circular coil having 200 turns, 2.5 10-4 m2 area and carrying 100 current is placed in a uniform magnetic field of 1 T. Initially the magnetic dipole moment ( M) was directed along B. Amount of work, required to rotate the coil through 90 from its initial orientation such that M becomes perpendicular to B, is J.

Ques. 6JEE Main 2024, 4 April (Evening Shift)

The magnetic moment of a bar magnet is 0.5 Am2. It is suspended in a uniform magnetic field of 8 10-2 T. The work done in rotating it from its most stable to most unstable position is:

  1. 4 10-2 J
  2. 16 10-2 J
  3. 8 10-2 J
  4. Zero
Ques. 7JEE Main 2024, 29 January (Morning Shift)

The magnetic potential due to a magnetic dipole at a point on its axis situated at a distance of 20 cm from its center is 1.5 10-5 T m. The magnetic moment of the dipole is A m2. (Given : 04 =10-7 T m A-1)

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