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Two bar magnet with magnetic moment 2M a...

Two bar magnet with magnetic moment `2M` and `M` are fastened togather at right angles to each other at their centres to from a cross system, which can rotate freely about a vertical axis through the centre. The crossed system sets in earth's magnetic field with magnet having magnetic moment `2M` making and angle `theta` with the magnetic merdian such that

A

`theta= tan^(-1) ((1)/(sqrt3))`

B

`theta= tan^(-1) (sqrt3)`

C

`theta= tan^(-1) ((1)/(2))`

D

`theta= tan^(-1) ((3)/(4))`

Text Solution

Verified by Experts

The correct Answer is:
C

`tan theta= (M)/(2M)`
`rArr theta= tan^(-1) (1//2)`
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Knowledge Check

  • Two magnet each of magnetic moment 'M' are placed so as to form a cross at right angles to each other. The magnetic moment of the system will be:

    A
    2 M
    B
    `sqrt(2) M`
    C
    `M/2`
    D
    M

  • Two magnets, each of magnetic miment 'M' are placed so as to form a cross at right angles to each other. The magnetic moment of the system will be

    A
    `2M`
    B
    `sqrt(2)M`
    C
    `0.5M`
    D
    M

  • A bar magnet of magnetic moment M is cut into equal length. The magnetic moment of each part be:

    A
    M
    B
    2M
    C
    Zero
    D
    0.5 M