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The length of a magnet is large compared to its width and breadth. The time period of its oscillation in a vibration magnetometer is T. The magnet is cut along its length into six parts and these parts are then placed together as shown in the figure. The time period of this combination will be

a
T
b
T3
c
T23
d
Zero

detailed solution

Correct option is C

T=2πIMBH; I of each part =I63and magnetic moment of each part = M6so net I of system =I63 x 6=I62and net magnetic moment =4M6-2M6=M3∴Time period of the system,T'=I/62M/3H=T12=T23

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