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NEET 2003

Exam: NEET
Year: 2003
Subject: Physics
Chapter: Magnetic Properties of Matter

NEET 2003 · Physics · Magnetic Properties of Matter

A bar magnet is oscillating in the Earth's magnetic field with a...

A bar magnet is oscillating in the Earth's magnetic field with a period

T

. What happens to its period and motion if its mass is quadrupled?

Options

Amotion remains simple harmonic with time period $=\frac{T}{2}$
Bmotion remains S.H.M with time period $=2 T$
Cmotion remains S.H.M. with time period $=4 T$
Dmotion remains S.H.M and period nearly constant

Correct answer

B. motion remains S.H.M with time period $=2 T$

Step-by-step solution

Time period of bar magnet

T

=2

\pi \sqrt{\frac{I}{14 H}}

Where

\mathrm{I}=

M.I.

=\frac{m \mathrm{~L}^2}{12}m=

mass of magnet

\therefore T=2 \pi \sqrt{\frac{mL^2}{12 \mathrm{MH}}}\Rightarrow T \propto \sqrt{m}\therefore

If mass is quadruplet then

T

becomes twice.

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