In two separate experiments neutral points due to two small magnets are at a distance of r and 2r n

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5.Magnetism and Matter

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In two separate experiments the neutral points due to two small magnets are at a distance of $r$ and $ 2r$ n broad side-on position. The ratio of their magnetic moments will be

$4:1$

$1:2$

$2:1$

$1:8$

Solution

(d)At broad side-on position $B = \frac{M}{{{d^3}}}$
$\therefore \,\frac{{{M_1}}}{{d_1^3}} = \frac{{{M_2}}}{{d_2^3}}or\frac{{{M_1}}}{{{r^3}}} = \frac{{{M_2}}}{{8{r^3}}}or\frac{{{M_1}}}{{{M_2}}} = \frac{{{r^3}}}{{8{r^3}}} = \frac{1}{8}$

Standard 12

Physics

The magnetic potential due to a magnetic dipole at a point on its axis situated at a distance of $20 \mathrm{~cm}$ from its center is $1.5 \times 10^{-5} \ \mathrm{Tm}$. The magnetic moment of the dipole is___________ $\mathrm{Am}^2$. (Given : $\frac{\mu_0}{4 \pi}=10^{-7} \ \mathrm{TmA}^{-1}$ )

hard

(JEE MAIN-2024)

Two identical bar magnets are fixed with their centres at a distance $d$ apart. A stationary charge $Q$ is placed at $P$ in between the gap of the two magnets at a distance $D$ from the center $O$ as shown in the figure. The force on the charge $Q$ is

easy

(AIPMT-2010)

Two short bar magnets of magnetic moments ' $M$ ' each are arranged at the opposite corners of a square of side ' $d$ ', such that their centres coincide with the corners and their axes are parallel to one side of the square. If the like poles are in the same direction, the magnetic induction at any of the other corners of the square is

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Points $A$ and $B$ are situated along the extended axis of $2\, cm$ long bar magnet at a distance $x $ and $2x$ $ cm$ respectively. From the pole nearer to the points, the ratio of the magnetic field at $ A$ and $B$ will be

medium

Two identical short bar magnets are placed at $120^{\circ}$ as shown in the figure. The magnetic moment of each magnet is $M$. Then the magnetic field at the point $P$ on the angle bisector is given by

medium

In two separate experiments the neutral points due to two small magnets are at a distance of $r$ and $ 2r$ n broad side-on position. The ratio of their magnetic moments will be

Solution

Similar Questions

The magnetic potential due to a magnetic dipole at a point on its axis situated at a distance of $20 \mathrm{~cm}$ from its center is $1.5 \times 10^{-5} \ \mathrm{Tm}$. The magnetic moment of the dipole is___________ $\mathrm{Am}^2$. (Given : $\frac{\mu_0}{4 \pi}=10^{-7} \ \mathrm{TmA}^{-1}$ )

Two identical bar magnets are fixed with their centres at a distance $d$ apart. A stationary charge $Q$ is placed at $P$ in between the gap of the two magnets at a distance $D$ from the center $O$ as shown in the figure. The force on the charge $Q$ is

Points $A$ and $B$ are situated along the extended axis of $2\, cm$ long bar magnet at a distance $x $ and $2x$ $ cm$ respectively. From the pole nearer to the points, the ratio of the magnetic field at $ A$ and $B$ will be

Two identical short bar magnets are placed at $120^{\circ}$ as shown in the figure. The magnetic moment of each magnet is $M$. Then the magnetic field at the point $P$ on the angle bisector is given by

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