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Question: A magnetic needle of negligible breadth and thickness compared to its length, oscillates in a horizo...

A magnetic needle of negligible breadth and thickness compared to its length, oscillates in a horizontal plane with a period T. The period of oscillation of each part obtained on breaking the magnet into n equal parts and perpendicular to the length is –

A

T

B

T/n

C

Tn

D

1Tn

Answer

T/n

Explanation

Solution

T = 2π

on breaking n equal parts perpendicular to length

I' = 112\frac { 1 } { 12 } of each part

I' = , M' =

IM×MI\sqrt { \frac { \mathrm { I } ^ { \prime } } { \mathrm { M } ^ { \prime } } \times \frac { \mathrm { M } } { \mathrm { I } } }= = ⇒ T' =