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Magnetism and Matter

154459 A bar magnet of moment $3.0 A - m^{2}$ is placed in a uniform magnetic induction field of $2 \times 10^{- 5} T$ . If each pole of the magnet experiences a force of $6 \times 10^{- 4} N$ . The length of the magnet is:

1

0.5 m

2

0.3 m

3

0.2 m

4

0.1 m

Explanation:

D Given, magnetic moment $(M) = 3.0 {Am}^{2}$ , magnetic induction field $(B) = 2 \times 10^{- 5} T$ , force $(F) = 6$ $\times 10^{- 4} N$
We know that,
$F = mB$
$F = \frac{M}{L} \times B$
$6 \times 10^{- 4} = \frac{3}{L} \times 2 \times 10^{- 5}$
So, $L = \frac{6 \times 10^{- 5}}{6 \times 10^{- 4}} = \frac{1}{10} = 0.1 m$

AP EAMCET(Medical)-2000

Magnetism and Matter

154460 A bar magnet when placed at an angle of $30^{\circ}$ to the direction of magnetic field induction of $5 \times$ $10^{- 2} T$ experiences a moment of couple $25 \times 10^{- 6}$ $Nm$ . If the length of the magnet is $5 cm$ , its pole strength is:

1

2 \times 10^{- 2} A - m

2

5 \times 10^{- 2} A - m

3 2 A-m

4

5 A - m

Explanation:

A Given, $θ = 30^{\circ}, B = 5 \times 10^{- 2} T, τ = 25 \times 10^{- 6}$ $Nm, l = 5 cm = 5 \times 10^{- 2} m$
We know that, $τ = M B \sin θ$
$τ = m / B \sin θ (∵ M = m \times l)$
$25 \times 10^{- 6} = m \times (5 \times 10^{- 2}) \times 5 \times 10^{- 2} \times \sin 30^{\circ}$
$25 \times 10^{- 6} = m \times 25 \times 10^{- 4} \times \frac{1}{2}$
So, pole strength $(m) = 2 \times 10^{- 2}$ A-m

AP EAMCET(Medical)-2000

Magnetism and Matter

154274 Given below are two statements:
Statements I: For diamagnetic substance $- 1 \leq χ$ $< 0$ , where $χ$ is the magnetic susceptibility.
Statements II: Diamagnetic substances when placed in an external magnetic field, tend to move from stronger to weaker part of field.
In the light of the above statements, choose the correct answer from the options given below.

1 Both Statements I and Statements II are false

2 Both Statements I and Statements II are true

3 Statement I is incorrect but Statement II is true

4 Statement I and Statement II are false

Explanation:

B Susceptibility for diamagnetic $μ_{r} < 1$
$- 1 \leq χ < 0$
Also, diamagnetic material moves from stronger to weaker fields.
Susceptibility for paramagnetic is positive but small.

JEE Main-10.04.2023

Magnetism and Matter

154278 The susceptibility of a paramagnetic material is 99. The permeability of the material in $Wb / A$ $m$ , is
[Permeability of free space $μ_{0} = 4 π \times 10^{- 7}$ $W b / A - m]$

1

4 π \times 10^{- 7}

2

4 π \times 10^{- 4}

3

4 π \times 10^{- 5}

4

4 π \times 10^{- 6}

Explanation:

C Given,
Susceptibility of paramagnetic material $(χ) = 99$
Permeability of material $(μ) = μ_{0} (1 + χ)$
$= 4 π \times 10^{- 7} (1 + 99)$
$= 4 π \times 10^{- 5}$

JEE Main-27.06.2022

Magnetism and Matter

154459 A bar magnet of moment $3.0 A - m^{2}$ is placed in a uniform magnetic induction field of $2 \times 10^{- 5} T$ . If each pole of the magnet experiences a force of $6 \times 10^{- 4} N$ . The length of the magnet is:

1

0.5 m

2

0.3 m

3

0.2 m

4

0.1 m

Explanation:

D Given, magnetic moment $(M) = 3.0 {Am}^{2}$ , magnetic induction field $(B) = 2 \times 10^{- 5} T$ , force $(F) = 6$ $\times 10^{- 4} N$
We know that,
$F = mB$
$F = \frac{M}{L} \times B$
$6 \times 10^{- 4} = \frac{3}{L} \times 2 \times 10^{- 5}$
So, $L = \frac{6 \times 10^{- 5}}{6 \times 10^{- 4}} = \frac{1}{10} = 0.1 m$

AP EAMCET(Medical)-2000

Magnetism and Matter

154460 A bar magnet when placed at an angle of $30^{\circ}$ to the direction of magnetic field induction of $5 \times$ $10^{- 2} T$ experiences a moment of couple $25 \times 10^{- 6}$ $Nm$ . If the length of the magnet is $5 cm$ , its pole strength is:

1

2 \times 10^{- 2} A - m

2

5 \times 10^{- 2} A - m

3 2 A-m

4

5 A - m

Explanation:

A Given, $θ = 30^{\circ}, B = 5 \times 10^{- 2} T, τ = 25 \times 10^{- 6}$ $Nm, l = 5 cm = 5 \times 10^{- 2} m$
We know that, $τ = M B \sin θ$
$τ = m / B \sin θ (∵ M = m \times l)$
$25 \times 10^{- 6} = m \times (5 \times 10^{- 2}) \times 5 \times 10^{- 2} \times \sin 30^{\circ}$
$25 \times 10^{- 6} = m \times 25 \times 10^{- 4} \times \frac{1}{2}$
So, pole strength $(m) = 2 \times 10^{- 2}$ A-m

AP EAMCET(Medical)-2000

Magnetism and Matter

154274 Given below are two statements:
Statements I: For diamagnetic substance $- 1 \leq χ$ $< 0$ , where $χ$ is the magnetic susceptibility.
Statements II: Diamagnetic substances when placed in an external magnetic field, tend to move from stronger to weaker part of field.
In the light of the above statements, choose the correct answer from the options given below.

1 Both Statements I and Statements II are false

2 Both Statements I and Statements II are true

3 Statement I is incorrect but Statement II is true

4 Statement I and Statement II are false

Explanation:

B Susceptibility for diamagnetic $μ_{r} < 1$
$- 1 \leq χ < 0$
Also, diamagnetic material moves from stronger to weaker fields.
Susceptibility for paramagnetic is positive but small.

JEE Main-10.04.2023

Magnetism and Matter

154278 The susceptibility of a paramagnetic material is 99. The permeability of the material in $Wb / A$ $m$ , is
[Permeability of free space $μ_{0} = 4 π \times 10^{- 7}$ $W b / A - m]$

1

4 π \times 10^{- 7}

2

4 π \times 10^{- 4}

3

4 π \times 10^{- 5}

4

4 π \times 10^{- 6}

Explanation:

C Given,
Susceptibility of paramagnetic material $(χ) = 99$
Permeability of material $(μ) = μ_{0} (1 + χ)$
$= 4 π \times 10^{- 7} (1 + 99)$
$= 4 π \times 10^{- 5}$

JEE Main-27.06.2022

Magnetism and Matter

154459 A bar magnet of moment $3.0 A - m^{2}$ is placed in a uniform magnetic induction field of $2 \times 10^{- 5} T$ . If each pole of the magnet experiences a force of $6 \times 10^{- 4} N$ . The length of the magnet is:

1

0.5 m

2

0.3 m

3

0.2 m

4

0.1 m

Explanation:

D Given, magnetic moment $(M) = 3.0 {Am}^{2}$ , magnetic induction field $(B) = 2 \times 10^{- 5} T$ , force $(F) = 6$ $\times 10^{- 4} N$
We know that,
$F = mB$
$F = \frac{M}{L} \times B$
$6 \times 10^{- 4} = \frac{3}{L} \times 2 \times 10^{- 5}$
So, $L = \frac{6 \times 10^{- 5}}{6 \times 10^{- 4}} = \frac{1}{10} = 0.1 m$

AP EAMCET(Medical)-2000

Magnetism and Matter

154460 A bar magnet when placed at an angle of $30^{\circ}$ to the direction of magnetic field induction of $5 \times$ $10^{- 2} T$ experiences a moment of couple $25 \times 10^{- 6}$ $Nm$ . If the length of the magnet is $5 cm$ , its pole strength is:

1

2 \times 10^{- 2} A - m

2

5 \times 10^{- 2} A - m

3 2 A-m

4

5 A - m

Explanation:

A Given, $θ = 30^{\circ}, B = 5 \times 10^{- 2} T, τ = 25 \times 10^{- 6}$ $Nm, l = 5 cm = 5 \times 10^{- 2} m$
We know that, $τ = M B \sin θ$
$τ = m / B \sin θ (∵ M = m \times l)$
$25 \times 10^{- 6} = m \times (5 \times 10^{- 2}) \times 5 \times 10^{- 2} \times \sin 30^{\circ}$
$25 \times 10^{- 6} = m \times 25 \times 10^{- 4} \times \frac{1}{2}$
So, pole strength $(m) = 2 \times 10^{- 2}$ A-m

AP EAMCET(Medical)-2000

Magnetism and Matter

154274 Given below are two statements:
Statements I: For diamagnetic substance $- 1 \leq χ$ $< 0$ , where $χ$ is the magnetic susceptibility.
Statements II: Diamagnetic substances when placed in an external magnetic field, tend to move from stronger to weaker part of field.
In the light of the above statements, choose the correct answer from the options given below.

1 Both Statements I and Statements II are false

2 Both Statements I and Statements II are true

3 Statement I is incorrect but Statement II is true

4 Statement I and Statement II are false

Explanation:

B Susceptibility for diamagnetic $μ_{r} < 1$
$- 1 \leq χ < 0$
Also, diamagnetic material moves from stronger to weaker fields.
Susceptibility for paramagnetic is positive but small.

JEE Main-10.04.2023

Magnetism and Matter

154278 The susceptibility of a paramagnetic material is 99. The permeability of the material in $Wb / A$ $m$ , is
[Permeability of free space $μ_{0} = 4 π \times 10^{- 7}$ $W b / A - m]$

1

4 π \times 10^{- 7}

2

4 π \times 10^{- 4}

3

4 π \times 10^{- 5}

4

4 π \times 10^{- 6}

Explanation:

C Given,
Susceptibility of paramagnetic material $(χ) = 99$
Permeability of material $(μ) = μ_{0} (1 + χ)$
$= 4 π \times 10^{- 7} (1 + 99)$
$= 4 π \times 10^{- 5}$

JEE Main-27.06.2022

Magnetism and Matter

154459 A bar magnet of moment $3.0 A - m^{2}$ is placed in a uniform magnetic induction field of $2 \times 10^{- 5} T$ . If each pole of the magnet experiences a force of $6 \times 10^{- 4} N$ . The length of the magnet is:

1

0.5 m

2

0.3 m

3

0.2 m

4

0.1 m

Explanation:

D Given, magnetic moment $(M) = 3.0 {Am}^{2}$ , magnetic induction field $(B) = 2 \times 10^{- 5} T$ , force $(F) = 6$ $\times 10^{- 4} N$
We know that,
$F = mB$
$F = \frac{M}{L} \times B$
$6 \times 10^{- 4} = \frac{3}{L} \times 2 \times 10^{- 5}$
So, $L = \frac{6 \times 10^{- 5}}{6 \times 10^{- 4}} = \frac{1}{10} = 0.1 m$

AP EAMCET(Medical)-2000

Magnetism and Matter

154460 A bar magnet when placed at an angle of $30^{\circ}$ to the direction of magnetic field induction of $5 \times$ $10^{- 2} T$ experiences a moment of couple $25 \times 10^{- 6}$ $Nm$ . If the length of the magnet is $5 cm$ , its pole strength is:

1

2 \times 10^{- 2} A - m

2

5 \times 10^{- 2} A - m

3 2 A-m

4

5 A - m

Explanation:

A Given, $θ = 30^{\circ}, B = 5 \times 10^{- 2} T, τ = 25 \times 10^{- 6}$ $Nm, l = 5 cm = 5 \times 10^{- 2} m$
We know that, $τ = M B \sin θ$
$τ = m / B \sin θ (∵ M = m \times l)$
$25 \times 10^{- 6} = m \times (5 \times 10^{- 2}) \times 5 \times 10^{- 2} \times \sin 30^{\circ}$
$25 \times 10^{- 6} = m \times 25 \times 10^{- 4} \times \frac{1}{2}$
So, pole strength $(m) = 2 \times 10^{- 2}$ A-m

AP EAMCET(Medical)-2000

Magnetism and Matter

154274 Given below are two statements:
Statements I: For diamagnetic substance $- 1 \leq χ$ $< 0$ , where $χ$ is the magnetic susceptibility.
Statements II: Diamagnetic substances when placed in an external magnetic field, tend to move from stronger to weaker part of field.
In the light of the above statements, choose the correct answer from the options given below.

1 Both Statements I and Statements II are false

2 Both Statements I and Statements II are true

3 Statement I is incorrect but Statement II is true

4 Statement I and Statement II are false

Explanation:

B Susceptibility for diamagnetic $μ_{r} < 1$
$- 1 \leq χ < 0$
Also, diamagnetic material moves from stronger to weaker fields.
Susceptibility for paramagnetic is positive but small.

JEE Main-10.04.2023

Magnetism and Matter

154278 The susceptibility of a paramagnetic material is 99. The permeability of the material in $Wb / A$ $m$ , is
[Permeability of free space $μ_{0} = 4 π \times 10^{- 7}$ $W b / A - m]$

1

4 π \times 10^{- 7}

2

4 π \times 10^{- 4}

3

4 π \times 10^{- 5}

4

4 π \times 10^{- 6}

Explanation:

C Given,
Susceptibility of paramagnetic material $(χ) = 99$
Permeability of material $(μ) = μ_{0} (1 + χ)$
$= 4 π \times 10^{- 7} (1 + 99)$
$= 4 π \times 10^{- 5}$

JEE Main-27.06.2022

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