A short magnet of magnetic moment $M$ , is placed on a straight line. The ratio of magnetic induction fields $B_{1}, B_{2}, B_{3}$ values on this line at points which are at distances $30 c m, 60 c m$ and $90 c m$ respectively from the centre of the magnet is:

37.3 : 1 : 27

No worries! We‘ve got your back. Try BYJU‘S free classes today!

27 : 8 : 3.37

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 : 2 : 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

27 : 3.37 : 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $27 : 3.37 : 1$
For a magnet, magnetic field intensity,
$B = \frac{2 μ_{o} M}{4 π R^{3}}$
Hence,
$B_{1} : B_{2} : B_{3} = \frac{1}{R_{1}^{3}} : \frac{1}{R_{2}^{3}} : \frac{1}{R_{3}^{3}}$
$= \frac{1}{30^{3}} : \frac{1}{60^{3}} : \frac{1}{90^{3}}$
$= 1 : 1 / 8 : 1 / 27$
$= 27 : 3.37 : 1$

Suggest Corrections

Similar questions

The magnetic field strength at a point at a distance d from the centre on the axial line of a very short bar magnet of Magnetic moment $M$ is $B$ . The Magnetic induction at a distance $2 d$ from the centre on the equatorial line of a Magnetic Moment $8 M$ will be

Q. A magnetic induction due to a short bar magnetic of magnetic moment

5.4 A m^{2}

at a distance of

30 c m

on the equatorial line is

Two short Magnets having Magnetic moments in the ratio $27 : 8$ when placed on opposite sides of a deflection magnetometer shows no deflection. If the distance of weaker magnet is $0.12 m$ from the centre of D.M. The distance of the strongest magnet from the centre is ........... $m$

Q. A short bar magnet produces magnetic fields of equal induction at two points one on the axial line and the other on the equatorial line. The ratio of their distances is

Q. If ratio of magnetic induction on the axial line of a long magnet at distance 20 cm and 30 cm is 128 : 27. Find length of the magnet.

Join BYJU'S Learning Program

A short magnet of magnetic moment M, is placed on a straight line. The ratio of magnetic induction fields B1,B2,B3 values on this line at points which are at distances 30 cm,60 cm and 90 cm respectively from the centre of the magnet is:

The correct option is D 27:3.37:1For a magnet, magnetic field intensity,B=2μoM4πR3Hence, B1:B2:B3=1R31:1R32:1R33 =1303:1603:1903 =1:1/8:1/27 =27:3.37:1

A short magnet of magnetic moment $M$ , is placed on a straight line. The ratio of magnetic induction fields $B_{1}, B_{2}, B_{3}$ values on this line at points which are at distances $30 c m, 60 c m$ and $90 c m$ respectively from the centre of the magnet is: