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JEE Main Physics Class 12 Magnetism and Matter Questions
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Question : 58
Total: 80
A magnetic dipole is acted upon by two magnetic fields which are inclined to each other at an angle of 75°. One of the fields has a magnitude of 15 mT. The dipole attains stable equilibrium at an angle of 30° with this field. The magntidue of the other field (in mT) is close to :
[Online April 9, 2016]
1
11
36
1060
Validate
Solution:
We know that, magnetic dipole moment
M
=
N
i
A
cos
θ
i.e.,
M
∝
cos
θ
When two magnetic fields are inclined at an angle of
75
°
the equilibrium will be at
30
°
,
so
cos
θ
=
cos
(
75
°
−
30
°
)
=
cos
45
°
=
1
√
2
x
√
2
=
15
2
∴
x
≈
11
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