A magnet of magnetic moment M and pole strength m is divided in two equal parts, then

English

Gujarati

Hindi

5.Magnetism and Matter

medium

A magnet of magnetic moment $M$ and pole strength $m$ is divided in two equal parts, then magnetic moment of each part will be

A

$M$

B

$M/2$

C

$M/4$

D

$2M$

Solution

If cut along the axis of magnet of length $l$, then new pole strength $m' = \frac{m}{2}$and new length $l' = l$

$\therefore $New magnetic moment $M' = \frac{m}{2} \times l = \frac{{ml}}{2} = \frac{M}{2}$

If cut perpendicular to the axis of magnet, then new pole strength $m' = m$ and new length, $l' = l/2$

$\therefore $ New magnetic moment $M' = m \times \frac{l}{2} = \frac{{ml}}{2} = \frac{M}{2}$

Standard 12

Physics

Share

Similar Questions

A magnetic needle is kept in a non-uniform magnetic field. It experiences

easy

(IIT-1982)

The magnetic moment of a magnet of length $10\, cm$ and pole strength $ 4.0\, Am$ will be……$A{m^2}$

easy

A short magnet is allowed to fall along the axis of a horizontal metallic ring. Starting from rest, the distance fallen by the magnet in one second may be…..$m$

medium

Two short bar magnets oflength $1\ cm$ each have magnetic moments $1.20\ Am^2$ and $1.00\ Am^2$ respectively. They are placed on a horizontal table parallel to each other with their $N$ poles pointing towards the South. They have a common magnetic equator and are separated by a distance of $20.0\ cm$. The value of the resultand horizontal magnetic induction at the mid-point $O$ of the line joining their centres is close to (Horizontal component of earth.s magnetic induction is $3.6 \times 10^{-5}$ $Wbm^{-2}$ )

hard

(JEE MAIN-2013)

Two short magnets of magnetic moment $1000$ $A{m^2}$ are placed as shown at the corn ers of a square of side $10\, cm$. The net magnetic induction at $P$ is….$T$

medium