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 :-

Question

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 :- (A) Motion remains simple harmonic with time period =T/2 (B) Motion remains simple harmonic with time period =2T (C) Motion remains simple harmonic with time period =4T (D) Motion remains simple harmonic with time period nearly constant.

Tardigrade Admin · Accepted Answer

T=2π √(I/M BH)⇒ T propto √mass ∴ T propto √4 m boxedT ' = 2 T

Q. 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 :-

Motion remains simple harmonic with time period $= T /2$

Motion remains simple harmonic with time period $= 2 T$

Motion remains simple harmonic with time
period $= 4 T$

Motion remains simple harmonic with time
period nearly constant.

$T = 2 π \frac{I}{M B _{H}} \Rightarrow T \propto ma ss$
$∴ T \propto 4 m$
$T^{'} = 2 T$

Q. 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 :-

Motion remains simple harmonic with time period =T/2

Motion remains simple harmonic with time period =2T

Motion remains simple harmonic with time period =4T

Motion remains simple harmonic with time period nearly constant.