With a standard rectangular bar magnet of length $(L)$ , breadth $(b; b << 1)$ and magnetic moment $M$ , the time period of the magnet in a vibration magnetometer is $8 s$ . If the magnet is cut normal to its length into $8$ equal pieces, then the time period (in second) with one of the pieces is

8 s

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

2 s

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

1 s

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

4 s

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

Open in App

Solution

The correct option is C $1 s$
The pole strength of each piece when a bar magnet is cut into 8 equal halves perpendicular to it's length is the same as the pole strength of the original bar magnet. However , the magnetic moment of each piece is one eighth to the magnetic moment of the original bar magnet.

And the relation between time and magnetic moment is

$⟹ \frac{T_{1}}{T_{2}} = \sqrt{\frac{M_{2}}{M_{1}}}$

Suggest Corrections

Similar questions

With a standard rectangular bar magnet of length $l,$ breadth $b (b << l)$ and magnetic moment $M,$ the time period of the magnet in a vibration magnetometer is $4 s$ . If the magnet is cut normal to its length into four equal pieces, the time period (in seconds) with one of the pieces is :

Q. With a standard rectangular bar magnet the time period of a vibration magnetometer is 4s. The bar magnet is cut parallel to its length into four equal pieces. The time period of vibration magnetometer when one piece is used (in second) (bar magnet breadth is small) is :

With a standard rectangular bar magnet, the time period in a vibration magneto meter is $4 s e c .$ The bar magnet is cut parallel to its length into $4$ equal pieces. The time period in vibration magnetometer when the piece is used $($ in sec $) ($ bar magnet breadth is small $)$

Q. The length of a bar magnet is large compared to its width and breadth. The time period of its oscillation in a vibration magnetometer is

2 s

. The magnet is cut along its length into three equal parts and three parts are then placed on each other with their like poles together. The time period of this combination will be :

Q. The length of a magnet is large compared to its width and breadth. The time period of its oscillation in a vibration magnetometer is 2s. The magnet is cut along its length into three equal parts and then placed on each other with their like poles together. The time period of oscillations for this combination will be :

Join BYJU'S Learning Program

With a standard rectangular bar magnet of length (L), breadth (b;b<<1) and magnetic moment M, the time period of the magnet in a vibration magnetometer is 8 s. If the magnet is cut normal to its length into 8 equal pieces, then the time period (in second) with one of the pieces is

With a standard rectangular bar magnet of length $(L)$ , breadth $(b; b << 1)$ and magnetic moment $M$ , the time period of the magnet in a vibration magnetometer is $8 s$ . If the magnet is cut normal to its length into $8$ equal pieces, then the time period (in second) with one of the pieces is