Question

On quadrupling the moment of inertia of a magnet,it's frequency of oscillation will be

Answer 1

Explanation:

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Answer 2

On quadrupling the moment of inertia of a magnet, it's frequency of oscillation will be half.

let the Moment of Inertia of body of Mass be I,

According to the question, I (new) = 4I

we know that,

T ( time period) = 2π√(I/MB)

where, I is moment of inertia of the body

M is mass of the body

B is magnetic field

Also, T= 1/f

where f is frequency

f= 1/2π× √(MB/I)

since the mass, and Magnetic field will be constant

therefore, f will be inversely proportional to √I

let the new frequency after Quadrupling the moment of inertia be F

now, f/F= √(4I / I )

f/F = √4

F= f/2

Therefore,the On quadrupling the moment of inertia of a magnet, the frequency of oscillation will be half