00. Magnet and Magnetic Dipole
Magnetism and Matter

154058 A 100 turn closely wound circular coil of radius $10 \mathrm{~cm}$ carries a current of $3.2 \mathrm{~A}$. The magnetic moment of the coil is, approximately,

1 $5 \mathrm{~A} \mathrm{~m}^{2}$
2 $10 \mathrm{~A} \mathrm{~m}^{2}$
3 $20 \mathrm{~A} \mathrm{~m}^{2}$
4 $40 \mathrm{~A} \mathrm{~m}^{2}$
Magnetism and Matter

154059 Two wires $A$ and $B$ have lengths of $40 \mathrm{~cm}$ and $30 \mathrm{~cm}$. $A$ is bent into a circle of radius $r$ and $B$ into an arc of radius $r$. A current $I_{1}$, is passed through $A$ and $I_{2}$ through $B$. To have the same magnetic induction at the centre, the ratio of $I_{1}: I_{2}$ is

1 $3: 4$
2 $3: 5$
3 $2: 3$
4 $4: 3$
Magnetism and Matter

154060 Uniform magnetic field $B$ is directed vertically upwards and 3 wires of equal length $L$, carrying equal current $I$ are lying in a horizontal plane such that the first one is along north, second one along north-east and the third one at $60^{\circ}$ north of east. Force exerted by magnetic field $B$ on them is

1 zero on the first
2 $\frac{\text { BIL }}{\sqrt{2}}$ on the second
3 $\sqrt{3} \frac{\mathrm{BIL}}{2}$ on the third
4 BIL on all of them
Magnetism and Matter

154064 Two magnets $A$ and $B$ having the same mass and length are suspended and made to oscillate freely with time periods $T_{A}$ and $T_{B}$. If the moment of inertia of $A$ is one fourth that of $B$, the ratio of $\mathbf{T}_{B}$ to $\mathbf{T}_{\mathrm{A}}$ is

1 $2: 1$
2 $1: 4$
3 $4: 1$
4 $1: 2$
Magnetism and Matter

154058 A 100 turn closely wound circular coil of radius $10 \mathrm{~cm}$ carries a current of $3.2 \mathrm{~A}$. The magnetic moment of the coil is, approximately,

1 $5 \mathrm{~A} \mathrm{~m}^{2}$
2 $10 \mathrm{~A} \mathrm{~m}^{2}$
3 $20 \mathrm{~A} \mathrm{~m}^{2}$
4 $40 \mathrm{~A} \mathrm{~m}^{2}$
Magnetism and Matter

154059 Two wires $A$ and $B$ have lengths of $40 \mathrm{~cm}$ and $30 \mathrm{~cm}$. $A$ is bent into a circle of radius $r$ and $B$ into an arc of radius $r$. A current $I_{1}$, is passed through $A$ and $I_{2}$ through $B$. To have the same magnetic induction at the centre, the ratio of $I_{1}: I_{2}$ is

1 $3: 4$
2 $3: 5$
3 $2: 3$
4 $4: 3$
Magnetism and Matter

154060 Uniform magnetic field $B$ is directed vertically upwards and 3 wires of equal length $L$, carrying equal current $I$ are lying in a horizontal plane such that the first one is along north, second one along north-east and the third one at $60^{\circ}$ north of east. Force exerted by magnetic field $B$ on them is

1 zero on the first
2 $\frac{\text { BIL }}{\sqrt{2}}$ on the second
3 $\sqrt{3} \frac{\mathrm{BIL}}{2}$ on the third
4 BIL on all of them
Magnetism and Matter

154064 Two magnets $A$ and $B$ having the same mass and length are suspended and made to oscillate freely with time periods $T_{A}$ and $T_{B}$. If the moment of inertia of $A$ is one fourth that of $B$, the ratio of $\mathbf{T}_{B}$ to $\mathbf{T}_{\mathrm{A}}$ is

1 $2: 1$
2 $1: 4$
3 $4: 1$
4 $1: 2$
Magnetism and Matter

154058 A 100 turn closely wound circular coil of radius $10 \mathrm{~cm}$ carries a current of $3.2 \mathrm{~A}$. The magnetic moment of the coil is, approximately,

1 $5 \mathrm{~A} \mathrm{~m}^{2}$
2 $10 \mathrm{~A} \mathrm{~m}^{2}$
3 $20 \mathrm{~A} \mathrm{~m}^{2}$
4 $40 \mathrm{~A} \mathrm{~m}^{2}$
Magnetism and Matter

154059 Two wires $A$ and $B$ have lengths of $40 \mathrm{~cm}$ and $30 \mathrm{~cm}$. $A$ is bent into a circle of radius $r$ and $B$ into an arc of radius $r$. A current $I_{1}$, is passed through $A$ and $I_{2}$ through $B$. To have the same magnetic induction at the centre, the ratio of $I_{1}: I_{2}$ is

1 $3: 4$
2 $3: 5$
3 $2: 3$
4 $4: 3$
Magnetism and Matter

154060 Uniform magnetic field $B$ is directed vertically upwards and 3 wires of equal length $L$, carrying equal current $I$ are lying in a horizontal plane such that the first one is along north, second one along north-east and the third one at $60^{\circ}$ north of east. Force exerted by magnetic field $B$ on them is

1 zero on the first
2 $\frac{\text { BIL }}{\sqrt{2}}$ on the second
3 $\sqrt{3} \frac{\mathrm{BIL}}{2}$ on the third
4 BIL on all of them
Magnetism and Matter

154064 Two magnets $A$ and $B$ having the same mass and length are suspended and made to oscillate freely with time periods $T_{A}$ and $T_{B}$. If the moment of inertia of $A$ is one fourth that of $B$, the ratio of $\mathbf{T}_{B}$ to $\mathbf{T}_{\mathrm{A}}$ is

1 $2: 1$
2 $1: 4$
3 $4: 1$
4 $1: 2$
Magnetism and Matter

154058 A 100 turn closely wound circular coil of radius $10 \mathrm{~cm}$ carries a current of $3.2 \mathrm{~A}$. The magnetic moment of the coil is, approximately,

1 $5 \mathrm{~A} \mathrm{~m}^{2}$
2 $10 \mathrm{~A} \mathrm{~m}^{2}$
3 $20 \mathrm{~A} \mathrm{~m}^{2}$
4 $40 \mathrm{~A} \mathrm{~m}^{2}$
Magnetism and Matter

154059 Two wires $A$ and $B$ have lengths of $40 \mathrm{~cm}$ and $30 \mathrm{~cm}$. $A$ is bent into a circle of radius $r$ and $B$ into an arc of radius $r$. A current $I_{1}$, is passed through $A$ and $I_{2}$ through $B$. To have the same magnetic induction at the centre, the ratio of $I_{1}: I_{2}$ is

1 $3: 4$
2 $3: 5$
3 $2: 3$
4 $4: 3$
Magnetism and Matter

154060 Uniform magnetic field $B$ is directed vertically upwards and 3 wires of equal length $L$, carrying equal current $I$ are lying in a horizontal plane such that the first one is along north, second one along north-east and the third one at $60^{\circ}$ north of east. Force exerted by magnetic field $B$ on them is

1 zero on the first
2 $\frac{\text { BIL }}{\sqrt{2}}$ on the second
3 $\sqrt{3} \frac{\mathrm{BIL}}{2}$ on the third
4 BIL on all of them
Magnetism and Matter

154064 Two magnets $A$ and $B$ having the same mass and length are suspended and made to oscillate freely with time periods $T_{A}$ and $T_{B}$. If the moment of inertia of $A$ is one fourth that of $B$, the ratio of $\mathbf{T}_{B}$ to $\mathbf{T}_{\mathrm{A}}$ is

1 $2: 1$
2 $1: 4$
3 $4: 1$
4 $1: 2$
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