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Grade 11IIT JEE Entrance Exam

A bar magnet is oscillating in the earths 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 = T/2.

(b) Motion remains simple harmonic with new period =2T

(c) Motion remains simple harmonic with new period = 4T

(d) Motion remains simple harmonic and the period stays nearly constant

Simran Bhatia

12 Years agoGrade 11

2 Answers

Aditi Chauhan

12 Years ago

(b)

The time period of a bar magnet in a magnetic field is given by.

Here, I = moment of inertia proportional m, M = moment of magnet,

B = magnetic field.

so, T becomes twice as mass becomes four times

Rishi Sharma

5 Years ago

Dear Student,
Please find below the solution to your problem.

Usetheformula:T=2π squareroot( I/MB )
But: I ∝ m
T′ = 2π squareroot( 4I/MB)
⇒ T′/T = 2
T′ = 2T

Thanks and Regards

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