00. Magnet and Magnetic Dipole
Magnetism and Matter

154017 The length of a magnet is large compared to its width and breadth. The time-period of its oscillation in a vibration magnetometer is $2 \mathrm{~s}$. The magnet is cut into three equal parts of length $\frac{l}{3}$ each. If these parts are placed on each other with their like poles together, then the time-period of this combination will be

1 $2 \sqrt{3} \mathrm{~s}$
2 $\frac{2}{3} \mathrm{~s}$
3 $2 \mathrm{~s}$
4 $\frac{2}{\sqrt{3}} \mathrm{~s}$
Magnetism and Matter

154018 A short bar magnet is placed with its south pole towards geographical north. The neutral points are situated at a distance of $20 \mathrm{~cm}$ from the centre of the magnet. If $B_{H}=0.3 \times 10^{-4} \mathrm{~Wb} / \mathrm{m}^{2}$ then the magnetic moment of the magnet is

1 $9000 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
2 $900 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
3 $1200 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
4 $225 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
Magnetism and Matter

154019 Two points $A$ and $B$ are situated along the extended axis of $2 \mathrm{~cm}$ long bar magnet at distance $x$ and $2 x$ respectively from the nearer pole of a magnet $2 \mathrm{~cm}$ long. The ratio of magnetic field at $A$ and $B$ is

1 $4: 1$ exactly
2 4:1 approximately
3 $8: 1$ exactly
4 8:1 approximately
Magnetism and Matter

154020 A thin bar magnet of length $2 L$ is bent at the mid-point so that the angle between them is $60^{\circ} \mathrm{C}$. The new length of the magnet is

1 $\sqrt{2} \mathrm{~L}$
2 $\sqrt{3} \mathrm{~L}$
3 $2 \mathrm{~L}$
4 $\mathrm{L}$
Magnetism and Matter

154021 The work done in rotating a magnet of magnetic moment $M$ in a magnetic field through $90^{\circ}$ is $x$ times that of work done in rotating the same through $6^{\circ}$ in same situation. Then, the value of $x$ is

1 2
2 $\frac{1}{2}$
3 4
4 $\frac{1}{4}$
Magnetism and Matter

154017 The length of a magnet is large compared to its width and breadth. The time-period of its oscillation in a vibration magnetometer is $2 \mathrm{~s}$. The magnet is cut into three equal parts of length $\frac{l}{3}$ each. If these parts are placed on each other with their like poles together, then the time-period of this combination will be

1 $2 \sqrt{3} \mathrm{~s}$
2 $\frac{2}{3} \mathrm{~s}$
3 $2 \mathrm{~s}$
4 $\frac{2}{\sqrt{3}} \mathrm{~s}$
Magnetism and Matter

154018 A short bar magnet is placed with its south pole towards geographical north. The neutral points are situated at a distance of $20 \mathrm{~cm}$ from the centre of the magnet. If $B_{H}=0.3 \times 10^{-4} \mathrm{~Wb} / \mathrm{m}^{2}$ then the magnetic moment of the magnet is

1 $9000 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
2 $900 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
3 $1200 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
4 $225 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
Magnetism and Matter

154019 Two points $A$ and $B$ are situated along the extended axis of $2 \mathrm{~cm}$ long bar magnet at distance $x$ and $2 x$ respectively from the nearer pole of a magnet $2 \mathrm{~cm}$ long. The ratio of magnetic field at $A$ and $B$ is

1 $4: 1$ exactly
2 4:1 approximately
3 $8: 1$ exactly
4 8:1 approximately
Magnetism and Matter

154020 A thin bar magnet of length $2 L$ is bent at the mid-point so that the angle between them is $60^{\circ} \mathrm{C}$. The new length of the magnet is

1 $\sqrt{2} \mathrm{~L}$
2 $\sqrt{3} \mathrm{~L}$
3 $2 \mathrm{~L}$
4 $\mathrm{L}$
Magnetism and Matter

154021 The work done in rotating a magnet of magnetic moment $M$ in a magnetic field through $90^{\circ}$ is $x$ times that of work done in rotating the same through $6^{\circ}$ in same situation. Then, the value of $x$ is

1 2
2 $\frac{1}{2}$
3 4
4 $\frac{1}{4}$
Magnetism and Matter

154017 The length of a magnet is large compared to its width and breadth. The time-period of its oscillation in a vibration magnetometer is $2 \mathrm{~s}$. The magnet is cut into three equal parts of length $\frac{l}{3}$ each. If these parts are placed on each other with their like poles together, then the time-period of this combination will be

1 $2 \sqrt{3} \mathrm{~s}$
2 $\frac{2}{3} \mathrm{~s}$
3 $2 \mathrm{~s}$
4 $\frac{2}{\sqrt{3}} \mathrm{~s}$
Magnetism and Matter

154018 A short bar magnet is placed with its south pole towards geographical north. The neutral points are situated at a distance of $20 \mathrm{~cm}$ from the centre of the magnet. If $B_{H}=0.3 \times 10^{-4} \mathrm{~Wb} / \mathrm{m}^{2}$ then the magnetic moment of the magnet is

1 $9000 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
2 $900 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
3 $1200 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
4 $225 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
Magnetism and Matter

154019 Two points $A$ and $B$ are situated along the extended axis of $2 \mathrm{~cm}$ long bar magnet at distance $x$ and $2 x$ respectively from the nearer pole of a magnet $2 \mathrm{~cm}$ long. The ratio of magnetic field at $A$ and $B$ is

1 $4: 1$ exactly
2 4:1 approximately
3 $8: 1$ exactly
4 8:1 approximately
Magnetism and Matter

154020 A thin bar magnet of length $2 L$ is bent at the mid-point so that the angle between them is $60^{\circ} \mathrm{C}$. The new length of the magnet is

1 $\sqrt{2} \mathrm{~L}$
2 $\sqrt{3} \mathrm{~L}$
3 $2 \mathrm{~L}$
4 $\mathrm{L}$
Magnetism and Matter

154021 The work done in rotating a magnet of magnetic moment $M$ in a magnetic field through $90^{\circ}$ is $x$ times that of work done in rotating the same through $6^{\circ}$ in same situation. Then, the value of $x$ is

1 2
2 $\frac{1}{2}$
3 4
4 $\frac{1}{4}$
Magnetism and Matter

154017 The length of a magnet is large compared to its width and breadth. The time-period of its oscillation in a vibration magnetometer is $2 \mathrm{~s}$. The magnet is cut into three equal parts of length $\frac{l}{3}$ each. If these parts are placed on each other with their like poles together, then the time-period of this combination will be

1 $2 \sqrt{3} \mathrm{~s}$
2 $\frac{2}{3} \mathrm{~s}$
3 $2 \mathrm{~s}$
4 $\frac{2}{\sqrt{3}} \mathrm{~s}$
Magnetism and Matter

154018 A short bar magnet is placed with its south pole towards geographical north. The neutral points are situated at a distance of $20 \mathrm{~cm}$ from the centre of the magnet. If $B_{H}=0.3 \times 10^{-4} \mathrm{~Wb} / \mathrm{m}^{2}$ then the magnetic moment of the magnet is

1 $9000 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
2 $900 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
3 $1200 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
4 $225 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
Magnetism and Matter

154019 Two points $A$ and $B$ are situated along the extended axis of $2 \mathrm{~cm}$ long bar magnet at distance $x$ and $2 x$ respectively from the nearer pole of a magnet $2 \mathrm{~cm}$ long. The ratio of magnetic field at $A$ and $B$ is

1 $4: 1$ exactly
2 4:1 approximately
3 $8: 1$ exactly
4 8:1 approximately
Magnetism and Matter

154020 A thin bar magnet of length $2 L$ is bent at the mid-point so that the angle between them is $60^{\circ} \mathrm{C}$. The new length of the magnet is

1 $\sqrt{2} \mathrm{~L}$
2 $\sqrt{3} \mathrm{~L}$
3 $2 \mathrm{~L}$
4 $\mathrm{L}$
Magnetism and Matter

154021 The work done in rotating a magnet of magnetic moment $M$ in a magnetic field through $90^{\circ}$ is $x$ times that of work done in rotating the same through $6^{\circ}$ in same situation. Then, the value of $x$ is

1 2
2 $\frac{1}{2}$
3 4
4 $\frac{1}{4}$
Magnetism and Matter

154017 The length of a magnet is large compared to its width and breadth. The time-period of its oscillation in a vibration magnetometer is $2 \mathrm{~s}$. The magnet is cut into three equal parts of length $\frac{l}{3}$ each. If these parts are placed on each other with their like poles together, then the time-period of this combination will be

1 $2 \sqrt{3} \mathrm{~s}$
2 $\frac{2}{3} \mathrm{~s}$
3 $2 \mathrm{~s}$
4 $\frac{2}{\sqrt{3}} \mathrm{~s}$
Magnetism and Matter

154018 A short bar magnet is placed with its south pole towards geographical north. The neutral points are situated at a distance of $20 \mathrm{~cm}$ from the centre of the magnet. If $B_{H}=0.3 \times 10^{-4} \mathrm{~Wb} / \mathrm{m}^{2}$ then the magnetic moment of the magnet is

1 $9000 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
2 $900 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
3 $1200 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
4 $225 \mathrm{ab}-\mathrm{amp} \times \mathrm{cm}^{2}$
Magnetism and Matter

154019 Two points $A$ and $B$ are situated along the extended axis of $2 \mathrm{~cm}$ long bar magnet at distance $x$ and $2 x$ respectively from the nearer pole of a magnet $2 \mathrm{~cm}$ long. The ratio of magnetic field at $A$ and $B$ is

1 $4: 1$ exactly
2 4:1 approximately
3 $8: 1$ exactly
4 8:1 approximately
Magnetism and Matter

154020 A thin bar magnet of length $2 L$ is bent at the mid-point so that the angle between them is $60^{\circ} \mathrm{C}$. The new length of the magnet is

1 $\sqrt{2} \mathrm{~L}$
2 $\sqrt{3} \mathrm{~L}$
3 $2 \mathrm{~L}$
4 $\mathrm{L}$
Magnetism and Matter

154021 The work done in rotating a magnet of magnetic moment $M$ in a magnetic field through $90^{\circ}$ is $x$ times that of work done in rotating the same through $6^{\circ}$ in same situation. Then, the value of $x$ is

1 2
2 $\frac{1}{2}$
3 4
4 $\frac{1}{4}$