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Q. No.A solenoid has a core made of material with relative permeability \(400\). The magnetic field produced in the interior of solenoid is \(1.0~\text{T}.\) The magnetic intensity is SI units is \(\alpha \times 10^{5}.\) The value of \(\alpha\) is:
(Free space permeability \(\mu_0=4\pi\times10^{-7}\) SI units.)
1. \(\dfrac{25}\pi\)
2. \(\dfrac{1}{16\pi}\)
3. \(\dfrac{1}\pi\)
4. \(\dfrac{1}{4\pi}\)
(Free space permeability \(\mu_0=4\pi\times10^{-7}\) SI units.)
1. \(\dfrac{25}\pi\)
2. \(\dfrac{1}{16\pi}\)
3. \(\dfrac{1}\pi\)
4. \(\dfrac{1}{4\pi}\)
Subtopic: Magnetization & Magnetic Intensity |
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Two identical small bar magnets each of dipole moment \(3 \sqrt{5} ~\text{J/T}\) are placed at a centre to centre separation of \(10~\text{cm},\) with their axes perpendicular to each other as shown in figure. The value of magnetic field at the point \(P\) midway between the magnets is \(\alpha \times 10^{-3} ~\text{T} .\) The value of \(\alpha\)
\(\left(\mu_0=4 \pi \times 10^{-7} ~\text{Tm/A} \right)\)
1. \(10\)
2. \(12\)
3. \(22\)
4. \(30\)
1. \(10\)
2. \(12\)
3. \(22\)
4. \(30\)
Subtopic: Analogy between Electrostatics & Magnetostatics |
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A circular coil of radius \(2~\text{cm}\) and \(125\) turns carries a current of \(1 ~\text{A}.\) The coil is placed in a uniform magnetic field of magnitude \(0.4~\text{T}.\) The axis of the coil makes an angle of \(30^\circ\) with the direction of the magnetic field. The torque acting on the coil is \(\alpha \times 10^{-4} \text { Nm.}\) The value of \(\alpha\) is:
\((\pi=3.14)\)
1. \(123\)
2. \(222\)
3. \(314\)
4. \(400\)
\((\pi=3.14)\)
1. \(123\)
2. \(222\)
3. \(314\)
4. \(400\)
Subtopic: Analogy between Electrostatics & Magnetostatics |
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A current carrying circular loop of radius \(2~\text{cm} \) with unit normal \(\hat{n}=\dfrac{\hat{k}+\hat{i}}{\sqrt{2}}\) is placed in a magnetic field \(\vec{B}=B_0(3 \hat{i}+2 \hat{k})\). If \(B_0=4 \times 10^{-3}~\text{T}\) and current \(I=100 \sqrt{2} ~\text{A}\), the torque experienced by the loop is: (in \(\text{Wb.A}\)) (\(\pi=3.14\))
1. \(16 \times 10^{-5} \hat{k}\)
2. \(5024 \times 10^{-7} \hat{k}\)
3. \(5024 \times 10^{-7} \hat{i}\)
4. \(5024 \times 10^{-7} \hat{j}\)
1. \(16 \times 10^{-5} \hat{k}\)
2. \(5024 \times 10^{-7} \hat{k}\)
3. \(5024 \times 10^{-7} \hat{i}\)
4. \(5024 \times 10^{-7} \hat{j}\)
Subtopic: Analogy between Electrostatics & Magnetostatics |
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Given below are two statements:
In the light of the above statements, choose the correct answer from the options given below:
| Assertion (A): | The individual atoms in a ferromagnetic material possess a magnetic dipole moment and interact with one another in such a way that they spontaneously align themselves forming domains. |
| Reason (R): | At high enough temperature, the domain structure of ferromagnetic material disintegrates. Thus, magnetization will disappear at high enough temperature known as Curie temperature. |
| 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. | (A) is False but (R) is True. |
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A short bar magnet placed with its axis at \(30^\circ\) with an external field of \(800\) Gauss, experiences a torque of \(0.016\) N.m. The work done in moving it from most stable to most unstable position is \(\alpha \times 10^{-3}~\text{J} .\) The Value of \(\alpha\) is:
1. \(70\)
2. \(64\)
3. \(80\)
4. \(80\)
1. \(70\)
2. \(64\)
3. \(80\)
4. \(80\)
Subtopic: Analogy between Electrostatics & Magnetostatics |
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A magnetic dipole experiences a torque of \(80\sqrt 3 \text{ Nm}\) when placed in uniform magnetic field in such a way that dipole moment makes angle of \(60^\circ\) with magnetic field. The potential energy of the dipole is:
1. \(-40\sqrt 3~\text{J}\)
2. \(80~\text{J}\)
3. \(-80~\text{J}\)
4. \(-60~\text{J}\)
1. \(-40\sqrt 3~\text{J}\)
2. \(80~\text{J}\)
3. \(-80~\text{J}\)
4. \(-60~\text{J}\)
Subtopic: Bar Magnet |
Level 4: Below 35%
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Given below are two statements:
In the light of the above statements, choose the most appropriate answer from the options given below:
| Assertion (A): | Magnetic monopoles do not exist. |
| Reason (R): | Magnetic field lines are continuous and form closed loops. |
| 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. | (A) is False but (R) is True. |
Subtopic: Magnetic Field & Field Lines |
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The percentage increase in magnetic field \((B)\) when space within a current carrying solenoid is filled with magnesium \((\)magnetic susceptibility \(\mathrm{X}_{\mathrm{Mg}}=1.2 \times 10^{-5} ) \) is:
1. \(\dfrac{5}{3} \times 10^{-5} \% \)
2. \(\dfrac{5}{6} \times 10^{-4} \% \)
3. \(\dfrac{6}{5} \times 10^{-3} \% \)
4. \(\dfrac{5}{6} \times 10^{-5} \% \)
1. \(\dfrac{5}{3} \times 10^{-5} \% \)
2. \(\dfrac{5}{6} \times 10^{-4} \% \)
3. \(\dfrac{6}{5} \times 10^{-3} \% \)
4. \(\dfrac{5}{6} \times 10^{-5} \% \)
Subtopic: Magnetization & Magnetic Intensity |
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The relationship between the magnetic susceptibility \((\chi) \) and the magnetic permeability \((\mu) \) is given by: \((\mu_0 \) is the permeability of free space and \(\mu_r \) is relative permeability)
1. \(\chi =1-\dfrac{\mu}{\mu_0} \)
2. \(\chi =\mu_r+1 \)
3. \(\chi =\dfrac{\mu_r}{\mu_0}+1 \)
4. \(\chi =\dfrac{\mu}{\mu_0}-1 \)
1. \(\chi =1-\dfrac{\mu}{\mu_0} \)
2. \(\chi =\mu_r+1 \)
3. \(\chi =\dfrac{\mu_r}{\mu_0}+1 \)
4. \(\chi =\dfrac{\mu}{\mu_0}-1 \)
Subtopic: Magnetization & Magnetic Intensity |
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