Physics-
General
Easy

Question

In a uniform magnetic field of inductionB, a wire in the form of semicircle of radiusblank r rotates about the diameter of the circle with angular frequencyblank omega. If the total resistance of the circuit is R, the mean power generated per period of rotation is

  1. fraction numerator B pi r to the power of 2 end exponent omega over denominator 2 R end fraction  
  2. fraction numerator open parentheses B pi r to the power of 2 end exponent omega close parentheses to the power of 2 end exponent over denominator 5 blank R t end fraction  
  3. fraction numerator open parentheses B pi r omega close parentheses to the power of 2 end exponent over denominator 2 blank R end fraction  
  4. fraction numerator open parentheses B pi r omega to the power of 2 end exponent close parentheses to the power of 2 end exponent over denominator 8 blank R end fraction  

The correct answer is: fraction numerator open parentheses B pi r to the power of 2 end exponent omega close parentheses to the power of 2 end exponent over denominator 5 blank R t end fraction

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