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

Question

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, T, T n, n T, 1 n

MARKS App · Accepted Answer

T = 2 π I M B on breaking n equal parts perpendicular to length I ′ = 1 12 m n l n 2 of each part I ′ = I n 3 , M ′ = M n T ′ T = I ′ M ′ × M I = 1 n 3 × n = 1 n ⇒ T ′ = T n

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