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Moving Charges and Magnetism

JEE Main 2024 (Online) 8th April Evening ShiftMCQEasy📈 Topic in 17% papers+4−1
Ques. 1JEE Main 2024, 8 April (Evening Shift)

A long straight wire of radius a carries a steady current I. The current is uniformly distributed across its cross section. The ratio of the magnetic field at a2 and 2a from axis of the wire is :

  1. 4 : 1
  2. 3 : 4
  3. 1 : 1
  4. 1 : 4

Answer

(3) 1 : 1

Solution

Ampere's law B d l = 0 Ienc:

inside, only Ienc = I r2a2 is enclosed ⇒ B = 0 I r2 a2 (r < a); outside B = 0 I2 r (r > a)

[figure]

Ba/2 = 0 I (a/2)2 a2 = 0 I4 a

B2a = 0 I2 (2a) = 0 I4 a

Ba/2 : B2a = 1 : 1

Answer: (3)

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Ques. 2JEE Main 2024, 6 April (Morning Shift)

Match List I with List II Choose the correct answer from the options given below:

  1. A-I, B-III, C-II, D-IV
  2. A-IV, B-II, C-III, D-I
  3. A-III, B-I, C-II, D-IV
  4. A-IV, B-III, C-II, D-I
Ques. 3JEE Main 2024, 6 April (Morning Shift)

An element l = x i is placed at the origin and carries a large current I = 10 A. The magnetic field on the y-axis at a distance of 0.5 m from the element x of 1 cm length is: [figure]

  1. 10 10-8 T
  2. 8 10-8 T
  3. 4 10-8 T
  4. 12 10-8 T
Ques. 4JEE Main 2024, 6 April (Evening Shift)

Match List I with List II: Choose the correct answer from the options given below :

  1. (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
  2. (A)-(III), (B)-(I), (C)-(IV), (D)-(II)
  3. (A)-(IV), (B)-(I), (C)-(III), (D)-(II)
  4. (A)-(I), (B)-(III), (C)-(II), (D)-(IV)
Ques. 5JEE Main 2024, 6 April (Evening Shift)

In the given figure an ammeter A consists of a 240 coil connected in parallel to a 10 shunt. The reading of the ammeter is mA. [figure]

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

A coil having 100 turns, area of 5 10-3 m2, carrying current of 1 mA is placed in uniform magnetic field of 0.20 T such a way that plane of coil is perpendicular to the magnetic field. The work done in turning the coil through 90 is .

Ques. 7JEE Main 2024, 5 April (Morning Shift)

In a co-axial straight cable, the central conductor and the outer conductor carry equal currents in opposite directions. The magnetic field is zero :

  1. inside the outer conductor
  2. outside the cable
  3. in between the two conductors
  4. inside the inner conductor
Ques. 8JEE Main 2024, 5 April (Morning Shift)

A 2 A current carrying straight metal wire of resistance 1 , resistivity 2 10-6 , area of cross-section 10 mm2 and mass 500 g is suspended horizontally in mid air by applying a uniform magnetic field B. The magnitude of B is 10-1 T (given, g = 10 m/s2).

Ques. 9JEE Main 2024, 5 April (Evening Shift)

A galvanometer of resistance 100 when connected in series with 400 measures a voltage of upto 10 V. The value of resistance required to convert the galvanometer into ammeter to read upto 10 A is x 10-2 . The value of x is :

  1. 2
  2. 20
  3. 800
  4. 200
Ques. 10JEE Main 2024, 5 April (Evening Shift)

The electrostatic force ( F1 ) and magnetic force ( F2 ) acting on a charge q moving with velocity v can be written :

  1. F1 = q B, F2 = q( B v)
  2. F1 = q V E, F2 = q( B V)
  3. F1 = q E, F2 = q( V B)
  4. F1 = q E, F2 = q( B V)
Ques. 11JEE Main 2024, 5 April (Evening Shift)

A solenoid of length 0.5 m has a radius of 1 cm and is made up of 'm' number of turns. It carries a current of 5 A. If the magnitude of the magnetic field inside the solenoid is 6.28 10-3 T then the value of m is .

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