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JIPMER 2015

Exam: JIPMER
Year: 2015
Subject: Physics
Chapter: Magnetic Properties of Matter

JIPMER 2015 · Physics · Magnetic Properties of Matter

A thin bar magnet of length 2 L is bent at the mid-point so that...

A thin bar magnet of length

2 L

is bent at the mid-point so that the angle between them is

60^{\circ}

. The new length of the magnet is A thin bar magnet of length 2 L is bent at the mid-point so that the angle between them is 60^ . The new length of the

A thin bar magnet of length 2 L is bent at the mid-point so that the angle between them is 60^ . The new length of the

Options

A $\frac{L}{2 \sqrt{3}}$
B $\frac{\sqrt{3} L}{2}$
C $L$
D $\frac{2 L}{3}$

Correct answer

C. $L$

Step-by-step solution

On bending the magnet, the angle between two parts of the magnet is expressed in diagram below A thin bar magnet of length 2 L is bent at the mid-point so that the angle between them is 60^ . The new length of the

A thin bar magnet of length 2 L is bent at the mid-point so that the angle between them is 60^ . The new length of the

Now, the minimum distance between the ends P and

R

\begin{aligned} & =L \sin 30^{\circ}+L \sin 30^{\circ} \\ & =2 L \sin 30^{\circ}=2 L \sin 30^{\circ} \\ & =2 L \times \frac{1}{2}=L\end{aligned}

$$

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