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Question: A magnet is suspended horizontally in the earth's magnetic field. When it is displaced and released,...

A magnet is suspended horizontally in the earth's magnetic field. When it is displaced and released, it oscillates in a horizontal plane with a period T. If a piece of wood of same M.I as the magnet is attached to the magnet is attached to the magnet, the new period of oscillation of the system would be–

A

B

C

D

Answer

Explanation

Solution

T = 2π IMBH\sqrt { \frac { \mathrm { I } } { \mathrm { MB } _ { \mathrm { H } } } }

T' = 2π 2IMBH\sqrt { \frac { 2 \mathrm { I } } { \mathrm { MB } _ { \mathrm { H } } } } = 2\sqrt { 2 }T