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A thin strip 10 cm long is on a U shaped wire of negligible resistance and it is connected to a spring of spring constant 0.5 Nm1 (see figure). The assembly is kept in a uniform magnetic field of 0.1 T. If the strip is pulled from its equilibrium position and released, the number of oscillations it performs before its amplitude decreases by a factor of e is N. If the mass of the strip is 50 grams, its resistance 10 Ω and the air drag is negligible, N will be close to


  1. 50000
  2. 10000
  3. 1000
  4. 5000 


Solution

The correct option is D 5000 
T0=2πmk
=2π10
A=A0et/γ
for A=A0e,t=γ
t=γ=2mb=2mB2l2R=104s
No of oscillations tT0=1042π/105000.

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