JEE Main Magnetic Properties of Matter Practice Questions With Solutions

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JEE Main Physics Magnetic Properties of Matter Practice Questions

Mathematics Chemistry

Question 1.

Paramagnetic substances:

A. align themselves along the directions of external magnetic field.

B. attract strongly towards external magnetic field.

C. has susceptibility little more than zero.

D. move from a region of strong magnetic field to weak magnetic field.

Choose the most appropriate answer from the options given below:

A, B, C Only

A, C Only

A, B, C, D

B, D Only

Question 2.

Match List I with List II:

	LIST I (Y vs X)
A.	Y-magnetic susceptibility X = magnetising field	I.
B.	Y = magnetic field X = distance from centre of a current carrying wire for x < a (where a = radius of wire)	II.
C.	Y = magnetic field $X =$ distance from centre of a current carrying wire for $x > a$ (where $a =$ radius of wire)	III.
D.	Y = magnetic field inside solenoid X = distance from centre	IV.

Choose the correct answer from the options given below :

(A)-(III), (B)-(IV), (C)- (I), (D)-(II)

(A)-(III), (B)-(I), (C)-(IV), (D)-(II)

(A)-(IV), (B)-(I), (C)-(III), (D)-(II)

(A)-(I), (B)-(III), (C)-(II), (D)-(IV)

Question 3.

The magnetic moment of a bar magnet is $0.5 {Am}^{2}$ . It is suspended in a uniform magnetic field of $8 \times 10^{- 2} T$ . The work done in rotating it from its most stable to most unstable position is:

4 \times 10^{- 2} J

16 \times 10^{- 2} J

8 \times 10^{- 2} J

Zero

Question 4.

Given below are two statements:

Statement I : The diamagnetic property depends on temperature.

Statement II : The induced magnetic dipole moment in a diamagnetic sample is always opposite to the magnetizing field.

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

Statement I is incorrect but Statement II is true.

Statement I is correct but Statement II is false.

Both Statement I and Statement II are False.

Both Statement I and Statement II are true.

Question 5.

The free space inside a current carrying toroid is filled with a material of susceptibility $2 \times 10^{- 2}$ . The percentage increase in the value of magnetic field inside the toroid will be

0.1%

0.2%

Question 6.

A bar magnet is released from rest along the axis of a very long vertical copper tube. After some time the magnet will

move down with almost constant speed

move down with an acceleration equal to

g

move down with an acceleration greater than

g

oscillate inside the tube

Question 7.

Given below are two statements:

Statement I : For diamagnetic substance, $- 1 \leq χ < 0$ , where $χ$ is the magnetic susceptibility.

Statement II : Diamagnetic substances when placed in an external magnetic field, tend to move from stronger to weaker part of the field.

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

Both Statement I and Statement II are true

Statement I is correct but Statement II is false

Both Statement I and Statement II are False

Statement I is incorrect but Statement II is true.

Question 8.

Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$

Assertion A : Electromagnets are made of soft iron.

Reason R : Soft iron has high permeability and low retentivity.

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

Both A and R are correct and R is the correct explanation of A

A is not correct but R is correct

A is correct but R is not correct

Both A and R are correct but R is NOT the correct explanation of A

Question 9.

A bar magnet with a magnetic moment $5.0 {Am}^{2}$ is placed in parallel position relative to a magnetic field of $0.4 T$ . The amount of required work done in turning the magnet from parallel to antiparallel position relative to the field direction is _____________.

zero

1 J

2 J

4 J

Question 10.

A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2 m long and 0.2 m in diameter. The magnetic intensity at the center of the solenoid when a current of 2 A flows through it is :

1 A m^{- 1}

2.4 \times 10^{- 3} A m^{- 1}

1.2 \times 10^{3} A m^{- 1}

2.4 \times 10^{3} A m^{- 1}

Question 1.

The vertical component of the earth's magnetic field is $6 \times 10^{- 5} T$ at any place where the angle of dip is $37^{\circ}$ . The earth's resultant magnetic field at that place will be $($ Given $\tan 37^{\circ} = \frac{3}{4})$

8 \times 10^{- 5} T

6 \times 10^{- 5} T

5 \times 10^{- 4} T

1 \times 10^{- 4} T

Question 2.

A compass needle of oscillation magnetometer oscillates 20 times per minute at a place $P$ of $dip 30^{\circ}$ . The number of oscillations per minute become 10 at another place $Q$ of $60^{\circ}$ dip. The ratio of the total magnetic field at the two places $(B_{Q} : B_{P})$ is :

\sqrt{3} : 4

4 : \sqrt{3}

\sqrt{3} : 2

2 : \sqrt{3}

Question 3.

Two bar magnets oscillate in a horizontal plane in earth's magnetic field with time periods of $3 s$ and $4 s$ respectively. If their moments of inertia are in the ratio of $3 : 2$ , then the ratio of their magnetic moments will be:

2 : 1

8 : 3

1 : 3

27 : 16

Question 4.

A magnet hung at $45^{\circ}$ with magnetic meridian makes an angle of $60^{\circ}$ with the horizontal. The actual value of the angle of dip is -

\tan^{- 1} (\sqrt{\frac{3}{2}})

\tan^{- 1} (\sqrt{6})

\tan^{- 1} (\sqrt{\frac{2}{3}})

\tan^{- 1} (\sqrt{\frac{1}{2}})

Question 5.

An electron with energy 0.1 keV moves at right angle to the earth's magnetic field of 1 $\times$ 10^{$-$ 4} Wbm^{$-$ 2}. The frequency of revolution of the electron will be :

(Take mass of electron = 9.0 $\times$ 10^{$-$ 31} kg)

1.6 \times 10^{5} Hz

5.6 \times 10^{5} Hz

2.8 \times 10^{6} Hz

1.8 \times 10^{6} Hz

Question 6.

At a certain place the angle of dip is 30 $^{\circ}$ and the horizontal component of earth's magnetic field is 0.5 G. The earth's total magnetic field (in G), at that certain place, is :

\frac{1}{\sqrt{3}}

\frac{1}{2}

\sqrt{3}

Question 7.

The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility equal to 1.2 $\times$ 10^{$-$ 5}. What is fractional increase in the magnetic field inside solenoid with respect to air as medium inside the solenoid?

1.2

\times

10^{$-$ 5}

1.2

\times

10^{$-$ 3}

1.8

\times

10^{$-$ 3}

2.4

\times

10^{$-$ 5}

Question 8.

The susceptibility of a paramagnetic material is 99. The permeability of the material in Wb/A-m, is :

[Permeability of free space $μ$ ₀ = 4 $π$ $\times$ 10^{$-$ 7} Wb/A-m]

π

\times

10^{$-$ 7}

π

\times

10^{$-$ 4}

π

\times

10^{$-$ 5}

π

\times

10^{$-$ 6}

Question 9.

A bar magnet having a magnetic moment of 2.0 $\times$ 10⁵ JT^{$-$ 1}, is placed along the direction of uniform magnetic field of magnitude B = 14 $\times$ 10^{$-$ 5} T. The work done in rotating the magnet slowly through 60 $^{\circ}$ from the direction of field is :

14 J

8.4 J

4 J

1.4 J

Question 10.

Given below are two statements :

Statement I : Susceptibilities of paramagnetic and ferromagnetic substances increase with decrease in temperature.

Statement II : Diamagnetism is a result of orbital motions of electrons developing magnetic moments opposite to the applied magnetic field.

Choose the correct answer from the options given below :

Both Statement I and Statement II are true.

Both Statement I and Statement II are false.

Statement I is true but Statement II is false.

Statement I is false but Statement II is true.

JEE Main Magnetic Properties of Matter Practice Questions With Solutions

JEE Main Physics Magnetic Properties of Matter Practice Questions

Question 1.

Question 2.

Question 3.

Question 4.

Question 5.

Question 6.

Question 7.

Question 8.

Question 9.

Question 10.

Question 1.

Question 2.

Question 3.

Question 4.

Question 5.

Question 6.

Question 7.

Question 8.

Question 9.

Question 10.

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