Magnetic Effects of Current - NEET Physics Questions
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Magnetic Effects of Current

Question 41: easy

A charge \( q = 1.6 \times 10^{-12} \text{ C} \) moving with speed of \( v \text{ m s}^{-1} \) crosses electric field \( |\vec{E}| = 6 \times 10^4 \text{ V m}^{-1} \) and magnetic field \( |\vec{B}| = 1.2 \text{ T} \). The electric field and magnetic fields are crossed and velocity \( v \) is also perpendicular to both. If the charge particle crosses both fields undeflected, the value of \( v \) is

1. \( 7.2 \times 10^5 \)
2. \( 7.2 \times 10^4 \)
3. \( 5 \times 10^5 \)
4. \( 5 \times 10^4 \)
View Answer

For a particle to cross perpendicular electric and magnetic fields undeflected, the net force must be zero, which requires \( qE = qvB ⇒ v = \frac{E}{B} \). Substituting the given values: \( v = \frac{6 \times 10^4}{1.2} = 5 \times 10^4 \text{ m/s} \).

Question 42: easy

Consider the following statements:


A. Magnetic force on a moving charged particle is always non-zero.


B. Magnetic force can change kinetic energy of a charged particle.


C. Magnetic force can change linear momentum of a charged particle.


D. A charged particle at rest does not feel magnetic force on it.


The correct statement(s) is/are

1. Only C
2. A, B and C
3. C and D
4. B, C and D
View Answer

Magnetic force is perpendicular to velocity, so it does no work and KE remains constant. It can change the direction of velocity (and thus momentum). For a particle at rest (\(v = 0\)), magnetic force is zero.

Question 43: easy

A long solenoid having number of turns per unit length 200 carries a current of \(2.5 \text{ A}\), the magnetic field at the end of the solenoid is

1. \(6.28 \times 10^{-4} \text{ T}\)
2. \(3.14 \times 10^{-4} \text{ T}\)
3. \(6.28 \times 10^{-5} \text{ T}\)
4. \(3.14 \times 10^{-5} \text{ T}\)
View Answer

The magnetic field at the end of a long solenoid is \(B_{\text{end}} = \frac{1}{2} \mu_0 n I\). Substituting the given values: \(B_{\text{end}} = \frac{1}{2} (4\pi \times 10^{-7}) (200) (2.5) = 3.14 \times 10^{-4} \text{ T}\).

Question 44: easy

Assertion (A): A magnetic field can accelerate a charge particle.


Reason (R): A steady current carrying wire does not generate an electric field outside it.


In the light of the above statements, choose the correct answer from the options given below.

1. Both (A) and (R) are true and (R) is the correct explanation of (A)
2. Both (A) and (R) are true but (R) is not the correct explanation of (A)
3. (A) is true but (R) is false
4. Both (A) and (R) are false
View Answer

A magnetic field exerts a force perpendicular to velocity, changing its direction, hence accelerating the particle. Outside a steady current-carrying wire, there is no net charge, so the electric field is zero. Both statements are true, but they are unrelated.

Question 45: easy

The substance in which net magnetic dipole moment of an atom is zero, is

1. Paramagnetic
2. Diamagnetic
3. Ferromagnetic
4. Para or ferromagnetic depending on temperature
View Answer

In diamagnetic substances, the magnetic moments of individual electrons cancel each other out, resulting in a net magnetic dipole moment of zero for each atom.

Question 46: easy

In crossed electric and magnetic field, the velocity of charged particle which passes undeflected through the region may be (where \(E\) is electric field and \(B\) is magnetic field)

1. \(v = E^2 B\)
2. \(v = \frac{E}{B}\)
3. \(v = \frac{E^2}{B}\)
4. \(v = \frac{B}{E}\)
View Answer

For a charged particle to pass undeflected in crossed fields, the electric force must balance the magnetic force: \(qE = qvB ⇒ v = \frac{E}{B}\).

Question 47: easy

A charged particle enters a magnetic field at right angles to the magnetic field. The field exists for a length equal to 1.5 times the radius of circular path of the circle. The particle will be deviated from its path by angle

1. 90°
2. \(sin^{-1} \left( \frac{2}{3} \right)\)
3. 30°
4. 180°
View Answer

Since the width of the magnetic field \(d = 1.5R > R\), the particle cannot cross the field to the other side. It will complete a semi-circular path inside the field and emerge from the same side it entered, yielding a deviation of \(180^\circ\).

Question 48: easy

The relative permeability of a ferromagnetic material is 5999. Its magnetic susceptibility is

1. 6000
2. \[6000 × 10^{–7}\]
3. 5998
4. \[5.999 × 10^7\]
View Answer

The relationship is \(\mu_r = 1 + \chi_m ⇒\chi_m = \mu_r - 1 = 5999 - 1 = 5998\).

Question 49: easy

Consider two long solenoids \( A \) and \( B \) having length \( 2L \) and \( 3L \) and number of loop as \( N \) and \( 2N \) respectively. If both have same current then ratio of magnetic field inside \( A \) to that of the \( B \) will be

1. \( \frac{3}{4} \)
2. \( \frac{3}{2} \)
3. \( 1 \)
4. \( \frac{1}{2} \)
View Answer

The magnetic field inside a solenoid is given by \( B = \mu_0 \frac{N}{L} I \). Calculating the ratio: \( \frac{B_A}{B_B} = \frac{N_A / L_A}{N_B / L_B} = \frac{N / 2L}{2N / 3L} = \frac{3}{4} \).

Question 50: easy

A bar magnet of length \( l \) and pole strength \( m \) is placed in uniform magnetic field \( B \) at an angle of \( 60^\circ \) with field. The torque on the bar magnet at this instant will be

1. \( \frac{mBl}{2} \)
2. \( \frac{\sqrt{3}mBl}{2} \)
3. \( mBl \)
4. \( 2mBl \)
View Answer

The magnetic dipole moment of the bar magnet is \( M = m \cdot l \). The torque experienced in a magnetic field is \( \tau = M B \sin \theta = m l B \sin 60^\circ = \frac{\sqrt{3} mBl}{2} \).