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Moving Charges and Magnetism

JEE Main 2025 (Online) 24th January Evening ShiftNumericalMedium📈 Topic in 21% papers+4
Ques. 1JEE Main 2025, 24 January (Evening Shift)

A tightly wound long solenoid carries a current of 1.5 A. An electron is executing uniform circular motion inside the solenoid with a time period of 75 ns. The number of turns per metre in the solenoid is . [Take mass of electron me=9 10-31 kg, charge of electron |qe|=1.6 10-19 C, 0=4 10-7 NA2, 1 ns=10-9 s]

Answer

250

Solution

The electron circles with T= 2 mqB and B= 0nI inside the solenoid.

[figure]

n= 2 mqT 0I= 2 9 10-311.6 10-19 75 10-9 4 10-7 1.5

= 7.5 10-53 10-7

=250 turns per metre

Answer: 250

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Ques. 2JEE Main 2025, 23 January (Morning Shift)

Consider a moving coil galvanometer (MCG): Choose the correct answer from the options given below:

  1. A, D Only
  2. A, B Only
  3. A, B, E Only
  4. B, D, E Only
Ques. 3JEE Main 2025, 23 January (Evening Shift)

A galvanometer having a coil of resistance 30 need 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer should be 30X , where X is

  1. 447
  2. 298
  3. 149
  4. 596
Ques. 4JEE Main 2025, 22 January (Evening Shift)

An electron projected perpendicular to a uniform magnetic field B moves in a circle. If Bohr's quantization is applicable, then the radius of the electronic orbit in the first excited state is :

  1. h eB
  2. 4h eB
  3. h2 eB
  4. 2h eB
Ques. 5JEE Main 2025, 22 January (Evening Shift)

A proton is moving undeflected in a region of crossed electric and magnetic fields at a constant speed of 2 105 m s-1. When the electric field is switched off, the proton moves along a circular path of radius 2 cm . The magnitude of electric field is x 104 N/C. The value of x is . Take the mass of the proton =1.6 10-27 kg.

Ques. 6JEE Main 2025, 22 January (Evening Shift)

Two long parallel wires X and Y, separated by a distance of 6 cm , carry currents of 5 A and 4A, respectively, in opposite directions as shown in the figure. Magnitude of the resultant magnetic field at point P at a distance of 4 cm from wire Y is x 10-5 T. The value of x is . Take permeability of free space as 0=4 10-7 SI units. [figure]

Ques. 7JEE Main 2024, 9 April (Morning Shift)

A galvanometer has a coil of resistance 200 with a full scale deflection at 20 . The value of resistance to be added to use it as an ammeter of range (0 - 20) mA is :

  1. 0.40
  2. 0.10
  3. 0.20
  4. 0.50
Ques. 8JEE Main 2024, 9 April (Morning Shift)

Given below are two statements : In the light of the above statements, choose the correct answer from the options given below :

  1. Both Statement I and Statement II are false
  2. Statement I is false but Statement II is true
  3. Both Statement I and Statement II are true
  4. Statement I is true but Statement II is false
Ques. 9JEE Main 2024, 9 April (Morning Shift)

A square loop of edge length 2 m carrying current of 2 A is placed with its edges parallel to the x-y axis. A magnetic field is passing through the x-y plane and expressed as B = B0(1 + 4x) k, where B0 = 5 T. The net magnetic force experienced by the loop is N.

Ques. 10JEE Main 2024, 9 April (Evening Shift)

A proton and a deuteron (q = +e, m = 2.0 u) having same kinetic energies enter a region of uniform magnetic field B, moving perpendicular to B. The ratio of the radius rd of deuteron path to the radius rp of the proton path is:

  1. 1 : 2
  2. 1 : 1
  3. 2 : 1
  4. 1 : 2
Ques. 11JEE Main 2024, 8 April (Morning Shift)

An electron with kinetic energy 5 eV enters a region of uniform magnetic field of 3 perpendicular to its direction. An electric field E is applied perpendicular to the direction of velocity and magnetic field. The value of E, so that electron moves along the same path, is N C-1. (Given, mass of electron = 9 10-31 kg, electric charge = 1.6 10-19 C)

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