00. Magnet and Magnetic Dipole
Magnetism and Matter

154065 20 ampere current is flowing in a long straight wire. The intensity of magnetic field at a distance $10 \mathrm{~cm}$ from the wire will be

1 $2 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
2 $9 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
3 $4 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
4 $6 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
Magnetism and Matter

154067 If a bar magnet of pole strength $m$ and magnetic moment $M$ is cut equally 5 times parallel to its axis and again 3 times perpendicular to its axis, then the pole strength and magnetic moment of each piece are respectively

1 $\frac{\mathrm{m}}{20}, \frac{\mathrm{M}}{4}$
2 $\frac{\mathrm{m}}{5}, \frac{\mathrm{M}}{20}$
3 $\frac{\mathrm{m}}{6}, \frac{\mathrm{M}}{24}$
4 $\frac{\mathrm{m}}{5}, \frac{\mathrm{M}}{24}$
Magnetism and Matter

154068 A magnetic dipole of moment $2.5 \mathrm{Am}^{2}$ is free to rotate about a vertical axis passing through its centre. It is released from East-West direction. Its kinetic energy at the moment, it takes North-South position is $\left(B_{H}=3 \times 10^{-5} \mathrm{~T}\right)$

1 $50 \mu \mathrm{J}$
2 $100 \mu \mathrm{J}$
3 $175 \mu \mathrm{J}$
4 $75 \mu \mathrm{J}$
Magnetism and Matter

154069 A charge $q$ is spread uniformly over an isolated ring of radius $R$. The ring is rotated about its natural axis with an angular velocity $\omega$. Magnetic dipole moment of the ring is

1 $\frac{q \omega R^{2}}{2}$
2 $\frac{q \omega R}{2}$
3 $q \omega R^{2}$
4 $\frac{q \omega}{2 R}$
Magnetism and Matter

154070 The magnetic field at $P$ on the axis of a solenoid having 100 turns/metre and carrying a current of $5 \mathrm{~A}$ is

1 $250 \mu_{0}$
2 $500 \sqrt{2} \mu_{0}$
3 $500 \mu_{0}$
4 $250 \sqrt{2} \mu_{0}$
Magnetism and Matter

154065 20 ampere current is flowing in a long straight wire. The intensity of magnetic field at a distance $10 \mathrm{~cm}$ from the wire will be

1 $2 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
2 $9 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
3 $4 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
4 $6 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
Magnetism and Matter

154067 If a bar magnet of pole strength $m$ and magnetic moment $M$ is cut equally 5 times parallel to its axis and again 3 times perpendicular to its axis, then the pole strength and magnetic moment of each piece are respectively

1 $\frac{\mathrm{m}}{20}, \frac{\mathrm{M}}{4}$
2 $\frac{\mathrm{m}}{5}, \frac{\mathrm{M}}{20}$
3 $\frac{\mathrm{m}}{6}, \frac{\mathrm{M}}{24}$
4 $\frac{\mathrm{m}}{5}, \frac{\mathrm{M}}{24}$
Magnetism and Matter

154068 A magnetic dipole of moment $2.5 \mathrm{Am}^{2}$ is free to rotate about a vertical axis passing through its centre. It is released from East-West direction. Its kinetic energy at the moment, it takes North-South position is $\left(B_{H}=3 \times 10^{-5} \mathrm{~T}\right)$

1 $50 \mu \mathrm{J}$
2 $100 \mu \mathrm{J}$
3 $175 \mu \mathrm{J}$
4 $75 \mu \mathrm{J}$
Magnetism and Matter

154069 A charge $q$ is spread uniformly over an isolated ring of radius $R$. The ring is rotated about its natural axis with an angular velocity $\omega$. Magnetic dipole moment of the ring is

1 $\frac{q \omega R^{2}}{2}$
2 $\frac{q \omega R}{2}$
3 $q \omega R^{2}$
4 $\frac{q \omega}{2 R}$
Magnetism and Matter

154070 The magnetic field at $P$ on the axis of a solenoid having 100 turns/metre and carrying a current of $5 \mathrm{~A}$ is

1 $250 \mu_{0}$
2 $500 \sqrt{2} \mu_{0}$
3 $500 \mu_{0}$
4 $250 \sqrt{2} \mu_{0}$
Magnetism and Matter

154065 20 ampere current is flowing in a long straight wire. The intensity of magnetic field at a distance $10 \mathrm{~cm}$ from the wire will be

1 $2 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
2 $9 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
3 $4 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
4 $6 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
Magnetism and Matter

154067 If a bar magnet of pole strength $m$ and magnetic moment $M$ is cut equally 5 times parallel to its axis and again 3 times perpendicular to its axis, then the pole strength and magnetic moment of each piece are respectively

1 $\frac{\mathrm{m}}{20}, \frac{\mathrm{M}}{4}$
2 $\frac{\mathrm{m}}{5}, \frac{\mathrm{M}}{20}$
3 $\frac{\mathrm{m}}{6}, \frac{\mathrm{M}}{24}$
4 $\frac{\mathrm{m}}{5}, \frac{\mathrm{M}}{24}$
Magnetism and Matter

154068 A magnetic dipole of moment $2.5 \mathrm{Am}^{2}$ is free to rotate about a vertical axis passing through its centre. It is released from East-West direction. Its kinetic energy at the moment, it takes North-South position is $\left(B_{H}=3 \times 10^{-5} \mathrm{~T}\right)$

1 $50 \mu \mathrm{J}$
2 $100 \mu \mathrm{J}$
3 $175 \mu \mathrm{J}$
4 $75 \mu \mathrm{J}$
Magnetism and Matter

154069 A charge $q$ is spread uniformly over an isolated ring of radius $R$. The ring is rotated about its natural axis with an angular velocity $\omega$. Magnetic dipole moment of the ring is

1 $\frac{q \omega R^{2}}{2}$
2 $\frac{q \omega R}{2}$
3 $q \omega R^{2}$
4 $\frac{q \omega}{2 R}$
Magnetism and Matter

154070 The magnetic field at $P$ on the axis of a solenoid having 100 turns/metre and carrying a current of $5 \mathrm{~A}$ is

1 $250 \mu_{0}$
2 $500 \sqrt{2} \mu_{0}$
3 $500 \mu_{0}$
4 $250 \sqrt{2} \mu_{0}$
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Magnetism and Matter

154065 20 ampere current is flowing in a long straight wire. The intensity of magnetic field at a distance $10 \mathrm{~cm}$ from the wire will be

1 $2 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
2 $9 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
3 $4 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
4 $6 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
Magnetism and Matter

154067 If a bar magnet of pole strength $m$ and magnetic moment $M$ is cut equally 5 times parallel to its axis and again 3 times perpendicular to its axis, then the pole strength and magnetic moment of each piece are respectively

1 $\frac{\mathrm{m}}{20}, \frac{\mathrm{M}}{4}$
2 $\frac{\mathrm{m}}{5}, \frac{\mathrm{M}}{20}$
3 $\frac{\mathrm{m}}{6}, \frac{\mathrm{M}}{24}$
4 $\frac{\mathrm{m}}{5}, \frac{\mathrm{M}}{24}$
Magnetism and Matter

154068 A magnetic dipole of moment $2.5 \mathrm{Am}^{2}$ is free to rotate about a vertical axis passing through its centre. It is released from East-West direction. Its kinetic energy at the moment, it takes North-South position is $\left(B_{H}=3 \times 10^{-5} \mathrm{~T}\right)$

1 $50 \mu \mathrm{J}$
2 $100 \mu \mathrm{J}$
3 $175 \mu \mathrm{J}$
4 $75 \mu \mathrm{J}$
Magnetism and Matter

154069 A charge $q$ is spread uniformly over an isolated ring of radius $R$. The ring is rotated about its natural axis with an angular velocity $\omega$. Magnetic dipole moment of the ring is

1 $\frac{q \omega R^{2}}{2}$
2 $\frac{q \omega R}{2}$
3 $q \omega R^{2}$
4 $\frac{q \omega}{2 R}$
Magnetism and Matter

154070 The magnetic field at $P$ on the axis of a solenoid having 100 turns/metre and carrying a current of $5 \mathrm{~A}$ is

1 $250 \mu_{0}$
2 $500 \sqrt{2} \mu_{0}$
3 $500 \mu_{0}$
4 $250 \sqrt{2} \mu_{0}$
Magnetism and Matter

154065 20 ampere current is flowing in a long straight wire. The intensity of magnetic field at a distance $10 \mathrm{~cm}$ from the wire will be

1 $2 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
2 $9 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
3 $4 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
4 $6 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}$
Magnetism and Matter

154067 If a bar magnet of pole strength $m$ and magnetic moment $M$ is cut equally 5 times parallel to its axis and again 3 times perpendicular to its axis, then the pole strength and magnetic moment of each piece are respectively

1 $\frac{\mathrm{m}}{20}, \frac{\mathrm{M}}{4}$
2 $\frac{\mathrm{m}}{5}, \frac{\mathrm{M}}{20}$
3 $\frac{\mathrm{m}}{6}, \frac{\mathrm{M}}{24}$
4 $\frac{\mathrm{m}}{5}, \frac{\mathrm{M}}{24}$
Magnetism and Matter

154068 A magnetic dipole of moment $2.5 \mathrm{Am}^{2}$ is free to rotate about a vertical axis passing through its centre. It is released from East-West direction. Its kinetic energy at the moment, it takes North-South position is $\left(B_{H}=3 \times 10^{-5} \mathrm{~T}\right)$

1 $50 \mu \mathrm{J}$
2 $100 \mu \mathrm{J}$
3 $175 \mu \mathrm{J}$
4 $75 \mu \mathrm{J}$
Magnetism and Matter

154069 A charge $q$ is spread uniformly over an isolated ring of radius $R$. The ring is rotated about its natural axis with an angular velocity $\omega$. Magnetic dipole moment of the ring is

1 $\frac{q \omega R^{2}}{2}$
2 $\frac{q \omega R}{2}$
3 $q \omega R^{2}$
4 $\frac{q \omega}{2 R}$
Magnetism and Matter

154070 The magnetic field at $P$ on the axis of a solenoid having 100 turns/metre and carrying a current of $5 \mathrm{~A}$ is

1 $250 \mu_{0}$
2 $500 \sqrt{2} \mu_{0}$
3 $500 \mu_{0}$
4 $250 \sqrt{2} \mu_{0}$