Q1: A model for the quantized motion of an electron in a uniform magnetic field B states that the flux passing through the orbit of the electron is n (h/e) where n is an integer, h is Planck's constant and e is the magnitude of the electron's charge. According to the model, the magnetic moment of an electron is its lowest energy state will be (m is the mass of the electron): (NEET 2025)
(a) 
(b) 
(c) 
(d) 
View Answer 
Ans: (d)
Magnetic moment
M = IA = I (πr2)
M = (ev / 2π) × (πr2) ...(1)
Given B (πr2) = n (h / e)
⇒ r2 = h / (Bπe) ...(2) (∵ n = 1)
And when charge is moving in external magnetic field
Then r = mv / qB
⇒ v / r = eB / m ...(3) (∵ q = e)
Put value from equation (2) and (3) in equation (1)
M = (ev / 2π) × (πr2)
M = (e / 2π) × (eB / m) × π × (h / Bπe) = eh / 2πm
Q2: An electron (mass 9 × 10−31 kg and charge 1.6 × 10−19C) moving with speed c/100 (c=speed of light) is injected into a magnetic field
of magnitude 9 × 10−4 T perpendicular to its direction of motion. We wish to apply an uniform electric field
together with the magnetic field so that the electron does not deflect from its path. Then (speed of light c = 3 × 108 ms-1) (NEET 2025)
(a)
(b) 
(c) 
(d) 
View Answer 
Ans: (d)
For particle To Remain undeflected
Q3: A 2 amp current is flowing through two different small circular copper coils having radii ratio 1 : 2. The ratio of their respective magnetic moments will be: (NEET 2025)
(a) 2 : 1
(b) 4 : 1
(c) 1 : 4
(d) 1 : 2
View Answer 
Ans: (c)
Magnetic moment of current carrying circular loop = IA
M = IA
M ∝ A [I - same]
M1 / M2 = A1 / A2 = (πr12) / (πr22) = (1/2)2 = 1 / 4
Q1: A tightly wound 100 turns coil of radius
(a) 44 mT
(b) 4.4 T
(c) 4.4 mT
(d) 44 T (NEET 2024)
View Answer 
Ans: (c)
The magnitude of magnetic field due to circular coil of N turns is given by
Q2: A sheet is placed on a horizontal surface in front of a strong magnetic pole. A force is needed to: (NEET 2024)
A. hold the sheet there if it is magnetic.
B. hold the sheet there if it is non-magnetic.
C. move the sheet away from the pole with uniform velocity if it is conducting.
D. move the sheet away from the pole with uniform velocity if it is both, non-conducting and non-polar.
Choose the correct statement(s) from the options given below:
(a) B and D only
(b) A and C only
(c) A, C and D only
(d) C only [2024]
View Answer 
Ans: (b)
To understand which statement(s) is/are correct, we must explore the interactions between the magnetic field and different types of materials (magnetic, non-magnetic, conducting, non-conducting)
Statement A: If a sheet is magnetic and placed near a strong magnetic pole, it will experience a magnetic force due to the magnetic field. This force could either attract or repel the sheet depending on the polarity of the magnetic pole and the induced or inherent poles in the sheet. A force is needed to hold the sheet stationary against this magnetic force. Hence, statement A is true
Statement B: If the sheet is non-magnetic, it will not experience any magnetic force because non-magnetic materials do not respond to magnetic fields in a manner where a force would be exerted on them. Thus, no external force is needed to hold a non-magnetic sheet in place near a magnetic pole. Statement B is false
Statement C: If the sheet is conducting and you move it away from the magnetic pole, it will experience a change in the magnetic flux through it. According to Faraday's Law of Electromagnetic Induction, a change in magnetic flux induces an electromotive force (EMF) and consequently, currents known as eddy currents in the conductor. These induced currents produce their own magnetic fields, which interact with the original magnetic field, leading to a force (Lenz's Law). To move the sheet away with uniform velocity, a force must counteract this magnetic interaction. Therefore, statement C is true
Statement D: If the sheet is non-conducting and non-polar, it will neither induce currents (since it's non-conducting) nor experience magnetic forces (since it's non-magnetic). Thus, moving such a sheet away from a magnetic pole with uniform velocity does not require overcoming any electromagnetic forces. Statement D is false
Given these explanations, the correct statements are A and C only
The correct choice is: Option B: A and C only.
Q1: A long straight wire of length 2 m and mass 250 g is suspended horizontally in a uniform horizontal magnetic field of 0.7 T. The amount of current flowing through the wire will be (g = 9.8 ms-2) (NEET 2023)
(a) 2.45 A
(b) 2.25 A
(c) 2.75 A
(d) 1.75 A
View Answer 
Ans: (d)


Q2: A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected in the region such that its velocity is pointed along the direction of fields, then the electron: (NEET 2023)
(a) will turn towards right of direction of motion
(b) will turn towards left of direction of motion
(c) speed will decrease
(d) speed will increase
View Answer 
Ans: (c)
Speed of electron will decrease due to electric force magnetic force of electron is zero.

Q3: A very long conducting wire is bent in a semi-circular shape from A to B as shown in the figure. The magnetic field at point P for steady current configuration is given by (NEET 2023)
(a)
(b)
(c)
(d)
View Answer 
Ans: (c)
Pointed away from the page.
Q4: A wire carrying a current I along the positive x-axis has length L. It is kept in a magnetic field
The magnitude of the magnetic force acting on the wire is (NEET 2023)
(a) 3 lL
(b)√5 lL
(c) 5 lL
(d)√3 lL
View Answer 
Ans: (c)
Magnetic force acting on a current-carrying wire is
Q1: Two very long, straight, parallel conductors A and B carry current of 5 A and 10 A respectively and are at a distance of 10 cm from each other. The direction of current in two conductors is same. The force acting per unit length between two conductors is : (NEET 2022) 
(a) 1 x 10-4 Nm-1 and is repulsive
(b) 2 x 10-4 Nm-1 and is attractive
(c) 2 x 10-4 Nm-1 and is repulsive
(d) 1 x 10-4 Nm-1 and is attractive
View Answer 
Ans: (d)

Q2: The magnetic field on the axis of a circular loop of radius 100 cm carrying current I = √2 A, at point 1 m away from the centre of the loop is given by : (NEET 2022)
(a) 6.28 x 10-4 T
(b) 3.14 x 10-7 T
(c) 6.28 x 10-7 T
(d) 3.14 x 10-4 T
View Answer 
Ans: (b)

Q3: A long solenoid of radius 1 mm has 100 turns per mm. If 1 A current flows in the solenoid, the magnetic field strength at the center of the solenoid is (NEET 2022)
(a) 12.56 × 10–2 T
(b) 12.56 × 10–4 T
(c) 6.28 × 10–4 T
(d) 6.28 × 10–2 T
View Answer 
Ans: (a)
We know, the magnetic field at the center of the solenoid

Q4: From Ampere’s circuital law for a long straight wire of circular cross-section carrying a steady current, the variation of the magnetic field in the inside and outside region of the wire is (NEET 2022)
(a) A linearly increasing function of distance up to the boundary of the wire and then linearly decreasing for the outside region.
(b) A linearly increasing function of distance r up to the boundary of the wire and then decreasing one with 1/r dependence for the outside region.
(c) A linearly decreasing function of distance up to the boundary of the wire and then a linearly increasing one for the outside region.
(d) Uniform and remains constant for both regions.
View Answer 
Ans: (b)

Q5: Given below are two statements (NEET 2022)
Statement I: Biot-Savart’s law gives us the expression for the magnetic field strength of an infinitesimal current element (Idl) of a current-carrying conductor only.
Statement II: Biot-Savart’s law is analogous to Coulomb’s inverse square law of charge q, with the former being related to the field produced by a scalar source, Idl while the latter being produced by a vector source, q. In light of the above statements choose the most appropriate answer from the options given below
(a) Both Statement I and Statement II are incorrect
(b) Statement I is correct and Statement II is incorrect
(c) Statement I is incorrect and Statement II is correct
(d) Both Statement I and Statement II are correct
View Answer 
Ans: (b)
According to Biot-Savart’s law
which applies to infinitesimal elements. It is analogous to Coulomb’s law, where IdI is the vector source and the electric field is produced by scalar source q. Here, statement I is correct and statement II is incorrect.
Q6: A square loop of side 1 m and resistance 1 Ω is placed in a magnetic field of 0.5 T. If the plane of loop is perpendicular to the direction of magnetic field, the magnetic flux through the loop is (NEET 2022)
(a) 2 weber
(b) 0.5 weber
(c) 1 weber
(d) Zero weber
View Answer 
Ans: (b)


Q1: Two toroids 1 and 2 have total number of turns 200 and 100 respectively with average radii 40 cm and 20 cm respectively. If they carry same current i, the ratio of the magnetic fields along the two loops is
(a) 1 : 1
(b) 4 : 1
(c) 2 : 1
(d) 1 : 2
View Answer 
Ans: (a) 1 : 1


Q2: A thick current-carrying cable of radius 'R' carries current 'I' uniformly distributed across its cross-section. The variation of magnetic field B(r) due to the cable with the distance 'r' from the axis of the cable is represented by:
A:
B:
C:
D:
View Answer 
Ans: (a)
Inside a current-carrying cylindrical conductor
Q3: An infinitely long straight conductor carries a current of 5 A as shown. An electron is moving with a speed of 105 m/s parallel to the conductor. The perpendicular distance between the electron and the conductor is 20 cm at an instant. Calculate the magnitude of the force experienced by the electron at that instant. 
(a) 4π× 10–20 N
(b) 8 × 10–20 N
(c) 4 × 10–20 N
(d) 8π× 10–20 N
View Answer 
Ans: (b)
f = 8 × 10–20 Newton.
Q4: Uniform conducting wire of length 12a and resistance 'R' is wound up as a current-carrying coil in the shape of,
(i) an equilateral triangle of side 'a'
(ii) a square of side 'a'
The magnetic dipole moments of the coil in each case respectively are:
(a) 3Ia2 and 4Ia2
(b) 4Ia2 and 3Ia2
(c)√3Ia2 and 3Ia2
(d) 3Ia2 and Ia2
View Answer 
Ans: (c)
(no. of turns = 4)
M2 = a2I × 3 = 3Ia2
(no. of turns = 3)
Q9. In the product

What will be the complete expression for
?
(a)
B:
(c)
(d)
View Answer 
Ans: (d)
Let the expression of B= Bi i+Bj j+Bk k
Let's first find the cross-product of v and B.
We get three equations:
On solving the above equations we get,
Bi =-6
Bj =-6
Bk =-8
Thus the magnetic field vector is, B= -6i-6j-8k
View Answer 
Ans: (c)
The magnetic field for the solenoid is given by
B = μ0 nI
n = N/ℓ
= 4π × 10-7 × 200 × 2.5
= 4 × 3.14 × 10–7 × 500
= 2000 × 3.14 × 10–7
= 6.14 × 10–4 T
Q1: A straight conductor carrying current i splits into two parts as shown in the figure. The radius of the circular loop is R. The total magnetic field at the centre P at the loop is


View Answer 
Ans: (a)
The magnetic field at the centre of an arc subtended at an angle θ is given by


Then, the magnetic field due to larger arc AB is

which acts in inward direction according to right hand thumb rule. And magnetic field due to smaller arc AB is

which acts in outward direction.
The resultant magnetic field

which acts in inward direction as B1> B2.
Two arcs can also be seen as the two resistances in parallel combination.
So, the potential across them will be same i.e.

From Eq. (iii) and (v), we get

Q2: Ionized hydrogen atoms and? a-particles with the same momenta enter perpendicular to a constant magnetic field, B. The ratio of the radii of their paths will be:
(a) 2:1
(b) 1:2
(c)4:1
(d) 1:4
View Answer 

Q3: A cylindrical conductor of radius R is carrying a constant current. The plot of the magnitude of the magnetic field. B with the distance d from the center of the conductor, is correctly represented by the figure :
(a)
(b)
(c) 
(d)
View Answer 
Ans: (c)
Inside (d < R)
The magnetic field inside the conductor
A straight line passing through the origin at the surface (d = R)
Maximum at surface
Outside (d > R)
View Answer 

View Answer 

A:

B:

C:

D:

View Answer 
Ans: (c)

View Answer 


Similarly, for bigger amperian loop.

View Answer 

(For a circular coil) where, n : Number of turns in circular coil


(a) 
(b) 
(c) 
(d) 
View Answer 

From the above figure, it can be seen that the direction of currents in a long straight conductor XY and arm AB of a square loop ABCD are in the same direction. So, there exist a force of attraction between the two, which will be experienced by FBA as

In the case of XY and arm CD, the direction of currents are in the opposite direction. So, there exist a force of repulsion which will be experienced by CD as

Therefore, net force on the loop ABCD will be

View Answer 



at a distance 2a from the axis of the wire.



View Answer 

q = e and t = T

The magnetic field produced at the centre is

View Answer 

where, r = charge on the particle
v = speed of the particle
∴The time taken to complete the circle,

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