03. Magnetism, Magnetic Properties and Magnetisation
Magnetism and Matter

154437 A short bar magnet having magnetic moment 4 $\mathrm{Am}^{2}$, placed in a vibrating magnetometer, vibrates with a time period of 8 s. Another short bar magnet having a magnetic moment 8 $\mathrm{Am}^{2}$ vibrates with a time period of $6 \mathrm{~s}$. If the moment of inertia of the second magnet is $9 \times$ $10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$, the moment of inertia of the first magnet is (assume that both magnets are kept in the same uniform magnetic induction field.)

1 $9 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
2 $8 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
3 $5.33 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
4 $12.2 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
Magnetism and Matter

154438 A uniformly wound solenoid coil of selfinductance $1.8 \times 10^{-4} \mathrm{H}$ and resistance. $6 \Omega$ is broken up into two identical coils. These identical coils are then connected in parallel across a $12 \mathrm{~V}$ battery of negligible resistance. The time constant for the current in the circuit is:

1 $0.1 \times 10^{-4} \mathrm{~s}$
2 $0.2 \times 10^{-1} \mathrm{~s}$
3 $0.3 \times 10^{-4} \mathrm{~s}$
4 $0.4 \times 10^{-4} \mathrm{~s}$
Magnetism and Matter

154440 Change of current from $8 \mathrm{~A}$ to $2 \mathrm{~A}$ in $3 \times 10^{-2}$ seconds, induces an emf equal to 2 volts in a coil. The self inductance of the coil is

1 $1 \mathrm{mH}$
2 $5 \mathrm{mH}$
3 $20 \mathrm{mH}$
4 $10 \mathrm{mH}$
Magnetism and Matter

154452 The magnetic susceptibility of a material of a rod is 299. Permeability of vacuum $\left(\mu_{0}\right)$ is $4 \pi \times$ $1^{-7} \mathrm{H} \mathrm{m}^{-1}$. Absolute permeability of the material of the rod is

1 $3771 \times 10^{-8} \mathrm{H} \mathrm{m}^{-1}$
2 $3771 \times 10^{-7} \mathrm{H} \mathrm{m}^{-1}$
3 $3771 \times 10^{-5} \mathrm{H} \mathrm{m}^{-1}$
4 $3770 \times 10^{-6} \mathrm{H} \mathrm{m}^{-1}$
Magnetism and Matter

154453 A particle with charge $q$ is moving along a circle of radius $R$ with uniform speed $V$. The associated magnetic moment $\mu$ is given by

1 $\frac{1}{2} q^{2} \mathrm{VR}$
2 $\frac{1}{2} \mathrm{~V}^{2} \mathrm{R}$
3 $\frac{1}{4} \mathrm{qVR}$
4 $\frac{1}{2} \mathrm{qVR}$
Magnetism and Matter

154437 A short bar magnet having magnetic moment 4 $\mathrm{Am}^{2}$, placed in a vibrating magnetometer, vibrates with a time period of 8 s. Another short bar magnet having a magnetic moment 8 $\mathrm{Am}^{2}$ vibrates with a time period of $6 \mathrm{~s}$. If the moment of inertia of the second magnet is $9 \times$ $10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$, the moment of inertia of the first magnet is (assume that both magnets are kept in the same uniform magnetic induction field.)

1 $9 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
2 $8 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
3 $5.33 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
4 $12.2 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
Magnetism and Matter

154438 A uniformly wound solenoid coil of selfinductance $1.8 \times 10^{-4} \mathrm{H}$ and resistance. $6 \Omega$ is broken up into two identical coils. These identical coils are then connected in parallel across a $12 \mathrm{~V}$ battery of negligible resistance. The time constant for the current in the circuit is:

1 $0.1 \times 10^{-4} \mathrm{~s}$
2 $0.2 \times 10^{-1} \mathrm{~s}$
3 $0.3 \times 10^{-4} \mathrm{~s}$
4 $0.4 \times 10^{-4} \mathrm{~s}$
Magnetism and Matter

154440 Change of current from $8 \mathrm{~A}$ to $2 \mathrm{~A}$ in $3 \times 10^{-2}$ seconds, induces an emf equal to 2 volts in a coil. The self inductance of the coil is

1 $1 \mathrm{mH}$
2 $5 \mathrm{mH}$
3 $20 \mathrm{mH}$
4 $10 \mathrm{mH}$
Magnetism and Matter

154452 The magnetic susceptibility of a material of a rod is 299. Permeability of vacuum $\left(\mu_{0}\right)$ is $4 \pi \times$ $1^{-7} \mathrm{H} \mathrm{m}^{-1}$. Absolute permeability of the material of the rod is

1 $3771 \times 10^{-8} \mathrm{H} \mathrm{m}^{-1}$
2 $3771 \times 10^{-7} \mathrm{H} \mathrm{m}^{-1}$
3 $3771 \times 10^{-5} \mathrm{H} \mathrm{m}^{-1}$
4 $3770 \times 10^{-6} \mathrm{H} \mathrm{m}^{-1}$
Magnetism and Matter

154453 A particle with charge $q$ is moving along a circle of radius $R$ with uniform speed $V$. The associated magnetic moment $\mu$ is given by

1 $\frac{1}{2} q^{2} \mathrm{VR}$
2 $\frac{1}{2} \mathrm{~V}^{2} \mathrm{R}$
3 $\frac{1}{4} \mathrm{qVR}$
4 $\frac{1}{2} \mathrm{qVR}$
Magnetism and Matter

154437 A short bar magnet having magnetic moment 4 $\mathrm{Am}^{2}$, placed in a vibrating magnetometer, vibrates with a time period of 8 s. Another short bar magnet having a magnetic moment 8 $\mathrm{Am}^{2}$ vibrates with a time period of $6 \mathrm{~s}$. If the moment of inertia of the second magnet is $9 \times$ $10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$, the moment of inertia of the first magnet is (assume that both magnets are kept in the same uniform magnetic induction field.)

1 $9 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
2 $8 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
3 $5.33 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
4 $12.2 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
Magnetism and Matter

154438 A uniformly wound solenoid coil of selfinductance $1.8 \times 10^{-4} \mathrm{H}$ and resistance. $6 \Omega$ is broken up into two identical coils. These identical coils are then connected in parallel across a $12 \mathrm{~V}$ battery of negligible resistance. The time constant for the current in the circuit is:

1 $0.1 \times 10^{-4} \mathrm{~s}$
2 $0.2 \times 10^{-1} \mathrm{~s}$
3 $0.3 \times 10^{-4} \mathrm{~s}$
4 $0.4 \times 10^{-4} \mathrm{~s}$
Magnetism and Matter

154440 Change of current from $8 \mathrm{~A}$ to $2 \mathrm{~A}$ in $3 \times 10^{-2}$ seconds, induces an emf equal to 2 volts in a coil. The self inductance of the coil is

1 $1 \mathrm{mH}$
2 $5 \mathrm{mH}$
3 $20 \mathrm{mH}$
4 $10 \mathrm{mH}$
Magnetism and Matter

154452 The magnetic susceptibility of a material of a rod is 299. Permeability of vacuum $\left(\mu_{0}\right)$ is $4 \pi \times$ $1^{-7} \mathrm{H} \mathrm{m}^{-1}$. Absolute permeability of the material of the rod is

1 $3771 \times 10^{-8} \mathrm{H} \mathrm{m}^{-1}$
2 $3771 \times 10^{-7} \mathrm{H} \mathrm{m}^{-1}$
3 $3771 \times 10^{-5} \mathrm{H} \mathrm{m}^{-1}$
4 $3770 \times 10^{-6} \mathrm{H} \mathrm{m}^{-1}$
Magnetism and Matter

154453 A particle with charge $q$ is moving along a circle of radius $R$ with uniform speed $V$. The associated magnetic moment $\mu$ is given by

1 $\frac{1}{2} q^{2} \mathrm{VR}$
2 $\frac{1}{2} \mathrm{~V}^{2} \mathrm{R}$
3 $\frac{1}{4} \mathrm{qVR}$
4 $\frac{1}{2} \mathrm{qVR}$
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Magnetism and Matter

154437 A short bar magnet having magnetic moment 4 $\mathrm{Am}^{2}$, placed in a vibrating magnetometer, vibrates with a time period of 8 s. Another short bar magnet having a magnetic moment 8 $\mathrm{Am}^{2}$ vibrates with a time period of $6 \mathrm{~s}$. If the moment of inertia of the second magnet is $9 \times$ $10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$, the moment of inertia of the first magnet is (assume that both magnets are kept in the same uniform magnetic induction field.)

1 $9 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
2 $8 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
3 $5.33 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
4 $12.2 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
Magnetism and Matter

154438 A uniformly wound solenoid coil of selfinductance $1.8 \times 10^{-4} \mathrm{H}$ and resistance. $6 \Omega$ is broken up into two identical coils. These identical coils are then connected in parallel across a $12 \mathrm{~V}$ battery of negligible resistance. The time constant for the current in the circuit is:

1 $0.1 \times 10^{-4} \mathrm{~s}$
2 $0.2 \times 10^{-1} \mathrm{~s}$
3 $0.3 \times 10^{-4} \mathrm{~s}$
4 $0.4 \times 10^{-4} \mathrm{~s}$
Magnetism and Matter

154440 Change of current from $8 \mathrm{~A}$ to $2 \mathrm{~A}$ in $3 \times 10^{-2}$ seconds, induces an emf equal to 2 volts in a coil. The self inductance of the coil is

1 $1 \mathrm{mH}$
2 $5 \mathrm{mH}$
3 $20 \mathrm{mH}$
4 $10 \mathrm{mH}$
Magnetism and Matter

154452 The magnetic susceptibility of a material of a rod is 299. Permeability of vacuum $\left(\mu_{0}\right)$ is $4 \pi \times$ $1^{-7} \mathrm{H} \mathrm{m}^{-1}$. Absolute permeability of the material of the rod is

1 $3771 \times 10^{-8} \mathrm{H} \mathrm{m}^{-1}$
2 $3771 \times 10^{-7} \mathrm{H} \mathrm{m}^{-1}$
3 $3771 \times 10^{-5} \mathrm{H} \mathrm{m}^{-1}$
4 $3770 \times 10^{-6} \mathrm{H} \mathrm{m}^{-1}$
Magnetism and Matter

154453 A particle with charge $q$ is moving along a circle of radius $R$ with uniform speed $V$. The associated magnetic moment $\mu$ is given by

1 $\frac{1}{2} q^{2} \mathrm{VR}$
2 $\frac{1}{2} \mathrm{~V}^{2} \mathrm{R}$
3 $\frac{1}{4} \mathrm{qVR}$
4 $\frac{1}{2} \mathrm{qVR}$
Magnetism and Matter

154437 A short bar magnet having magnetic moment 4 $\mathrm{Am}^{2}$, placed in a vibrating magnetometer, vibrates with a time period of 8 s. Another short bar magnet having a magnetic moment 8 $\mathrm{Am}^{2}$ vibrates with a time period of $6 \mathrm{~s}$. If the moment of inertia of the second magnet is $9 \times$ $10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$, the moment of inertia of the first magnet is (assume that both magnets are kept in the same uniform magnetic induction field.)

1 $9 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
2 $8 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
3 $5.33 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
4 $12.2 \times 10^{-2} \mathrm{~kg}-\mathrm{m}^{2}$
Magnetism and Matter

154438 A uniformly wound solenoid coil of selfinductance $1.8 \times 10^{-4} \mathrm{H}$ and resistance. $6 \Omega$ is broken up into two identical coils. These identical coils are then connected in parallel across a $12 \mathrm{~V}$ battery of negligible resistance. The time constant for the current in the circuit is:

1 $0.1 \times 10^{-4} \mathrm{~s}$
2 $0.2 \times 10^{-1} \mathrm{~s}$
3 $0.3 \times 10^{-4} \mathrm{~s}$
4 $0.4 \times 10^{-4} \mathrm{~s}$
Magnetism and Matter

154440 Change of current from $8 \mathrm{~A}$ to $2 \mathrm{~A}$ in $3 \times 10^{-2}$ seconds, induces an emf equal to 2 volts in a coil. The self inductance of the coil is

1 $1 \mathrm{mH}$
2 $5 \mathrm{mH}$
3 $20 \mathrm{mH}$
4 $10 \mathrm{mH}$
Magnetism and Matter

154452 The magnetic susceptibility of a material of a rod is 299. Permeability of vacuum $\left(\mu_{0}\right)$ is $4 \pi \times$ $1^{-7} \mathrm{H} \mathrm{m}^{-1}$. Absolute permeability of the material of the rod is

1 $3771 \times 10^{-8} \mathrm{H} \mathrm{m}^{-1}$
2 $3771 \times 10^{-7} \mathrm{H} \mathrm{m}^{-1}$
3 $3771 \times 10^{-5} \mathrm{H} \mathrm{m}^{-1}$
4 $3770 \times 10^{-6} \mathrm{H} \mathrm{m}^{-1}$
Magnetism and Matter

154453 A particle with charge $q$ is moving along a circle of radius $R$ with uniform speed $V$. The associated magnetic moment $\mu$ is given by

1 $\frac{1}{2} q^{2} \mathrm{VR}$
2 $\frac{1}{2} \mathrm{~V}^{2} \mathrm{R}$
3 $\frac{1}{4} \mathrm{qVR}$
4 $\frac{1}{2} \mathrm{qVR}$