Question

A bar magnet is oscillating in the earth’s magnetic field with a period $$T.$$ What happens to its period of motion, if its mass is quadrupled?

A. Motion remains simple harmonic with new period $$ = \frac{T}{2}$$
B. Motion remains simple harmonic with new period $$= 2 T$$  
C. Motion remains simple harmonic with new period $$= 4 T$$
D. Motion remains simple harmonic and the period stays nearly constant
Answer :   Motion remains simple harmonic with new period $$= 2 T$$
Solution :
The time period of a bar magnet in a magnetic field is given by
$$T = 2\pi \sqrt {\left( {\frac{I}{{MB}}} \right)} $$
where, $$I$$ is moment of inertia of bar magnet, $$M$$ is magnetic moment and $$B$$ is magnetic induction. When mass is made 4 times, moment of inertia $$I$$ becomes 4 times (as $$I = m{r^2},I \propto m$$   ). From the above equation of time period $$T \propto \sqrt I .$$   So, $$T$$ becomes twice as mass is quadrupled.

Releted MCQ Question on
Electrostatics and Magnetism >> Magnetic Materials

Releted Question 1

Curie temperature is the temperature above which

A. a ferromagnetic material becomes paramagnetic
B. a paramagnetic material becomes diamagnetic
C. a ferromagnetic material becomes diamagnetic
D. a paramagnetic material becomes ferromagnetic
Releted Question 2

The materials suitable for making electromagnets should have

A. high retentivity and low coercivity
B. low retentivity and low coercivity
C. high retentivity and high coercivity
D. low retentivity and high coercivity
Releted Question 3

Needles $${N_1},{N_2}$$  and $${N_3}$$ are made of a ferromagnetic, a paramagnetic and a diamagnetic substance respectively. A magnet when brought close to them will

A. attract $${N_1}$$ and $${N_2}$$ strongly but repel $${N_3}$$
B. attract $${N_1}$$ strongly, $${N_2}$$ weakly and repel $${N_3}$$ weakly
C. attract $${N_1}$$ strongly, but repel $${N_2}$$ and $${N_3}$$ weakly
D. attract all three of them
Releted Question 4

Relative permittivity and permeability of a material $${\varepsilon _r}$$ and $${\mu _r},$$ respectively. Which of the following values of these quantities are allowed for a diamagnetic material?

A. $${\varepsilon _r} = 0.5,{\mu _r} = 1.5$$
B. $${\varepsilon _r} = 1.5,{\mu _r} = 0.5$$
C. $${\varepsilon _r} = 0.5,{\mu _r} = 0.5$$
D. $${\varepsilon _r} = 1.5,{\mu _r} = 1.5$$

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Magnetic Materials


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