03. Magnetism, Magnetic Properties and Magnetisation
Magnetism and Matter

154399 Two indentical magnetic dipoles of magnetic moment $1.0 \mathrm{Am}^{2}$ each, placed at a separation of $2 \mathrm{~m}$ with their axis perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

1 $\sqrt{5} \times 10^{-7} \mathrm{~T}$
2 $5 \times 10^{-7} \mathrm{~T}$
3 $10^{-7} \mathrm{~T}$
4 $2 \times 10^{-7} \mathrm{~T}$
Magnetism and Matter

154400 A bar magnet is $10 \mathrm{~cm}$ long is kept with its north $(\mathrm{N})$ - pole pointing north. A neutral point is formed at a distance of $15 \mathrm{~cm}$ from each pole. Given the horizontal component of earth's field is 0.4 Gauss, the pole strength of the magnet is

1 $9 \mathrm{~A}-\mathrm{m}$
2 $6.75 \mathrm{~A}-\mathrm{m}$
3 $27 \mathrm{~A}-\mathrm{m}$
4 $1.35 \mathrm{~A}-\mathrm{m}$
Magnetism and Matter

154409 A current $I$ is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure.
The magnetic field at the centre of the loop is $\frac{\mu_{0} \mathrm{I}}{\mathrm{R}}$ times :

$\left(\mathrm{MA}=\mathrm{R}, \mathrm{MB}=\mathbf{2 R}, \angle \mathrm{DMA}=\mathbf{9 0}^{\circ}\right)$

1 $\frac{5}{16}$, but out of the plane of the paper
2 $\frac{5}{16}$, but into the plane of the paper
3 $\frac{7}{16}$, but out of the plane of the paper
4 $\frac{7}{16}$, but into the plane of the paper
Magnetism and Matter

154411 A coil of $n$ number of turns is wound tightly in the form of a spiral with inner and outer radii a and $b$ respectively. When a current of strength $I$ is passed through the coil, the magnetic field at its centre is :

1 $\frac{\mu_{0} \mathrm{nI}}{(\mathrm{b}-\mathrm{a})} \log _{\mathrm{e}} \frac{\mathrm{a}}{\mathrm{b}}$
2 $\frac{\mu_{0} \mathrm{nI}}{2(\mathrm{~b}-\mathrm{a})}$
3 $\frac{2 \mu_{0} \mathrm{nI}}{\mathrm{b}}$
4 $\frac{\mu_{0} \mathrm{nI}}{2(\mathrm{~b}-\mathrm{a})} \log _{\mathrm{e}} \frac{\mathrm{b}}{\mathrm{a}}$
Magnetism and Matter

154399 Two indentical magnetic dipoles of magnetic moment $1.0 \mathrm{Am}^{2}$ each, placed at a separation of $2 \mathrm{~m}$ with their axis perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

1 $\sqrt{5} \times 10^{-7} \mathrm{~T}$
2 $5 \times 10^{-7} \mathrm{~T}$
3 $10^{-7} \mathrm{~T}$
4 $2 \times 10^{-7} \mathrm{~T}$
Magnetism and Matter

154400 A bar magnet is $10 \mathrm{~cm}$ long is kept with its north $(\mathrm{N})$ - pole pointing north. A neutral point is formed at a distance of $15 \mathrm{~cm}$ from each pole. Given the horizontal component of earth's field is 0.4 Gauss, the pole strength of the magnet is

1 $9 \mathrm{~A}-\mathrm{m}$
2 $6.75 \mathrm{~A}-\mathrm{m}$
3 $27 \mathrm{~A}-\mathrm{m}$
4 $1.35 \mathrm{~A}-\mathrm{m}$
Magnetism and Matter

154409 A current $I$ is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure.
The magnetic field at the centre of the loop is $\frac{\mu_{0} \mathrm{I}}{\mathrm{R}}$ times :

$\left(\mathrm{MA}=\mathrm{R}, \mathrm{MB}=\mathbf{2 R}, \angle \mathrm{DMA}=\mathbf{9 0}^{\circ}\right)$

1 $\frac{5}{16}$, but out of the plane of the paper
2 $\frac{5}{16}$, but into the plane of the paper
3 $\frac{7}{16}$, but out of the plane of the paper
4 $\frac{7}{16}$, but into the plane of the paper
Magnetism and Matter

154411 A coil of $n$ number of turns is wound tightly in the form of a spiral with inner and outer radii a and $b$ respectively. When a current of strength $I$ is passed through the coil, the magnetic field at its centre is :

1 $\frac{\mu_{0} \mathrm{nI}}{(\mathrm{b}-\mathrm{a})} \log _{\mathrm{e}} \frac{\mathrm{a}}{\mathrm{b}}$
2 $\frac{\mu_{0} \mathrm{nI}}{2(\mathrm{~b}-\mathrm{a})}$
3 $\frac{2 \mu_{0} \mathrm{nI}}{\mathrm{b}}$
4 $\frac{\mu_{0} \mathrm{nI}}{2(\mathrm{~b}-\mathrm{a})} \log _{\mathrm{e}} \frac{\mathrm{b}}{\mathrm{a}}$
Magnetism and Matter

154399 Two indentical magnetic dipoles of magnetic moment $1.0 \mathrm{Am}^{2}$ each, placed at a separation of $2 \mathrm{~m}$ with their axis perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

1 $\sqrt{5} \times 10^{-7} \mathrm{~T}$
2 $5 \times 10^{-7} \mathrm{~T}$
3 $10^{-7} \mathrm{~T}$
4 $2 \times 10^{-7} \mathrm{~T}$
Magnetism and Matter

154400 A bar magnet is $10 \mathrm{~cm}$ long is kept with its north $(\mathrm{N})$ - pole pointing north. A neutral point is formed at a distance of $15 \mathrm{~cm}$ from each pole. Given the horizontal component of earth's field is 0.4 Gauss, the pole strength of the magnet is

1 $9 \mathrm{~A}-\mathrm{m}$
2 $6.75 \mathrm{~A}-\mathrm{m}$
3 $27 \mathrm{~A}-\mathrm{m}$
4 $1.35 \mathrm{~A}-\mathrm{m}$
Magnetism and Matter

154409 A current $I$ is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure.
The magnetic field at the centre of the loop is $\frac{\mu_{0} \mathrm{I}}{\mathrm{R}}$ times :

$\left(\mathrm{MA}=\mathrm{R}, \mathrm{MB}=\mathbf{2 R}, \angle \mathrm{DMA}=\mathbf{9 0}^{\circ}\right)$

1 $\frac{5}{16}$, but out of the plane of the paper
2 $\frac{5}{16}$, but into the plane of the paper
3 $\frac{7}{16}$, but out of the plane of the paper
4 $\frac{7}{16}$, but into the plane of the paper
Magnetism and Matter

154411 A coil of $n$ number of turns is wound tightly in the form of a spiral with inner and outer radii a and $b$ respectively. When a current of strength $I$ is passed through the coil, the magnetic field at its centre is :

1 $\frac{\mu_{0} \mathrm{nI}}{(\mathrm{b}-\mathrm{a})} \log _{\mathrm{e}} \frac{\mathrm{a}}{\mathrm{b}}$
2 $\frac{\mu_{0} \mathrm{nI}}{2(\mathrm{~b}-\mathrm{a})}$
3 $\frac{2 \mu_{0} \mathrm{nI}}{\mathrm{b}}$
4 $\frac{\mu_{0} \mathrm{nI}}{2(\mathrm{~b}-\mathrm{a})} \log _{\mathrm{e}} \frac{\mathrm{b}}{\mathrm{a}}$
Magnetism and Matter

154399 Two indentical magnetic dipoles of magnetic moment $1.0 \mathrm{Am}^{2}$ each, placed at a separation of $2 \mathrm{~m}$ with their axis perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

1 $\sqrt{5} \times 10^{-7} \mathrm{~T}$
2 $5 \times 10^{-7} \mathrm{~T}$
3 $10^{-7} \mathrm{~T}$
4 $2 \times 10^{-7} \mathrm{~T}$
Magnetism and Matter

154400 A bar magnet is $10 \mathrm{~cm}$ long is kept with its north $(\mathrm{N})$ - pole pointing north. A neutral point is formed at a distance of $15 \mathrm{~cm}$ from each pole. Given the horizontal component of earth's field is 0.4 Gauss, the pole strength of the magnet is

1 $9 \mathrm{~A}-\mathrm{m}$
2 $6.75 \mathrm{~A}-\mathrm{m}$
3 $27 \mathrm{~A}-\mathrm{m}$
4 $1.35 \mathrm{~A}-\mathrm{m}$
Magnetism and Matter

154409 A current $I$ is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure.
The magnetic field at the centre of the loop is $\frac{\mu_{0} \mathrm{I}}{\mathrm{R}}$ times :

$\left(\mathrm{MA}=\mathrm{R}, \mathrm{MB}=\mathbf{2 R}, \angle \mathrm{DMA}=\mathbf{9 0}^{\circ}\right)$

1 $\frac{5}{16}$, but out of the plane of the paper
2 $\frac{5}{16}$, but into the plane of the paper
3 $\frac{7}{16}$, but out of the plane of the paper
4 $\frac{7}{16}$, but into the plane of the paper
Magnetism and Matter

154411 A coil of $n$ number of turns is wound tightly in the form of a spiral with inner and outer radii a and $b$ respectively. When a current of strength $I$ is passed through the coil, the magnetic field at its centre is :

1 $\frac{\mu_{0} \mathrm{nI}}{(\mathrm{b}-\mathrm{a})} \log _{\mathrm{e}} \frac{\mathrm{a}}{\mathrm{b}}$
2 $\frac{\mu_{0} \mathrm{nI}}{2(\mathrm{~b}-\mathrm{a})}$
3 $\frac{2 \mu_{0} \mathrm{nI}}{\mathrm{b}}$
4 $\frac{\mu_{0} \mathrm{nI}}{2(\mathrm{~b}-\mathrm{a})} \log _{\mathrm{e}} \frac{\mathrm{b}}{\mathrm{a}}$