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Mechanical Properties Of Fluids

Question
CBSEENPH11020348

A magnetic needle of magnetic moment 6.7 × 10–2 Am2 and moment of inertia 7.5 × 10–6 kg m2 is performing simple harmonic oscillations in a magnetic field of 0.01 T.Time taken for 10 complete oscillations is :

  • 6.98 s 

  • 8.76 s

  • 6.65 s

  • 8.89 s

Solution

C.

6.65 s

straight T space equals space 2 straight pi space square root of straight I over MB end root
I = 7.5 × 10–6 kg – m2
M = 6.7 × 10–2 Am2
By substituting value in the formula
T = .665 sec
for 10 oscillation, time taken will be
Time = 10 T = 6.65 sec