Physics-
General
Easy

Question

At a certain place a magnet makes 30 oscillations per minute. At another place where the magnetic field is double, its time period will be

  1. 4 sec    
  2. 2 sec    
  3. fraction numerator 1 over denominator 2 end fraction s e c    
  4. square root of 2 s e c    

The correct answer is: square root of 2 s e c


    T equals 2 pi square root of fraction numerator I over denominator M B subscript H end subscript end fraction end root semicolon   therefore fraction numerator T subscript 1 end subscript over denominator T subscript 2 end subscript end fraction equals square root of fraction numerator left parenthesis B subscript H end subscript right parenthesis subscript 2 end subscript over denominator left parenthesis B subscript H end subscript right parenthesis subscript 1 end subscript end fraction end root rightwards double arrow T subscript 2 end subscript equals T subscript 1 end subscript square root of fraction numerator left parenthesis B subscript H end subscript right parenthesis subscript 1 end subscript over denominator left parenthesis B subscript H end subscript right parenthesis subscript 2 end subscript end fraction end root
    Here n1=30 oscillation /min equals fraction numerator 1 over denominator 2 end fractionoscillation/sec
    therefore   fraction numerator mu over denominator 4 pi end fraction. fraction numerator m to the power of 2 end exponent over denominator r to the power of 2 end exponent end fraction equals 50 g m minus w t
    therefore T subscript 2 end subscript equals 2 square root of fraction numerator B subscript H end subscript over denominator 2 B subscript H end subscript end fraction end root equals 2 cross times fraction numerator 1 over denominator square root of 2 end fraction equals square root of 2 s e c

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