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Magnetism and Matter · Question 5

JEE Main 2025 (Online) 7th April Morning ShiftMCQEasy📈 Topic in 10% papers+4−1
1

The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility Mg = 1.2 10-5) is :

  1. 53 10-5\%
  2. 56 10-4\%
  3. 56 10-5\%
  4. 65 10-3\%

Answer

(4) 65 10-3\%

Solution

Without core: B0 = 0 nI; with magnesium: B = 0 r nI = 0 (1 + ) nI

B - B0B0 100 = 100

= 1.2 10-5 100 = 1.2 10-3\%

= 65 10-3\%

Answer: (4)

JEE Main 2025 (Online) 7th April Morning Shift

Keep practising — Magnetism and Matter

2

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). In the light of the above statements, choose the most appropriate answer from the options given below:

  1. Both (A) and (R) are correct and (R) is the correct explanation of (A)
  2. (A) is not correct but (R) is correct
  3. (A) is correct but (R) is not correct
  4. Both (A) and (R) are correct but (R) is not the correct explanation of (A)
JEE Main 2025 (Online) 7th April Evening Shift
3

A magnetic dipole experiences a torque of 80 3 N m when placed in uniform magnetic field in such a way that dipole moment makes angle of 60 with magnetic field. The potential energy of the dipole is:

  1. -40 3 J
  2. -80 J
  3. 80 J
  4. -60 J
JEE Main 2025 (Online) 3rd April Evening Shift
4

The relationship between the magnetic susceptibility ( ) and the magnetic permeability ( ) is given by : ( 0 is the permeability of free space and r is relative permeability)

  1. = 0 - 1
  2. = r 0 + 1
  3. = r + 1
  4. = 1 - 0
JEE Main 2025 (Online) 2nd April Morning Shift
5

[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%
JEE Main 2025 (Online) 28th January Evening Shift

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