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NTA Abhyas 2020

Exam: NTA Abhyas
Year: 2020
Subject: Physics
Chapter: Magnetic Properties of Matter

NTA Abhyas 2020 · Physics · Magnetic Properties of Matter

A magnetic dipole is acted upon by two magnetic fields which are...

A magnetic dipole is acted upon by two magnetic fields which are inclined to each other at an angle of

{75}^{o}

. One of the fields has a magnitude of

15mT

. The dipole attains stable equilibrium at an angle of

{30}^{o}

with this field. The magnitude of the other field (in

mT

) is close to

Options

A $1$
B $11$
C $36$
D $1060$

Correct answer

B. $11$

Step-by-step solution

{θ}_{1} + \theta = {75}^{o}

M{B}_{1} sin{θ}_{1} = M{B}_{2} sin\theta

⇒ \dfrac{{B}_{1}}{\sqrt{2}} = \dfrac{15}{2}

⇒ {B}_{1} = \dfrac{15}{\sqrt{2}} \approx 11mT

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