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The period of oscillation of a thin magnet at a place is T. When it is stretched to double its length and its pole strength is reduced to  14 of its initial value, then its period of oscillation is

a
2T
b
2T
c
T22
d
22T

detailed solution

Correct option is D

We know time period of oscillation T=2πIMBGiven : Pole Strength : m1=m,  m2=m4;Length    l1=l,  l2=2l;Moment of Inertia I1=I=ml212, I2=m(2l)212=4I;Dipole Moment     M1 = ml = M,  M2=m4(2l) = ml2=M2;Now, T1T2=I1I2×M2M1⇒TT2=I4IM2M⇒T2=22T

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