Physics-
General
Easy

Question

A small sphere carrying a charge ‘q’ is hanging in between two parallel plates by a string of length L. Time period of pendulum is T subscript 0 end subscript. When parallel plates are charged, the time period changes to T. The ratio T divided by T subscript 0 end subscript is equal to

  1. open parentheses fraction numerator g plus fraction numerator q E over denominator m end fraction over denominator g end fraction close parentheses to the power of 1 divided by 2 end exponent    
  2. open parentheses fraction numerator g over denominator g plus fraction numerator q E over denominator m end fraction end fraction close parentheses to the power of 3 divided by 2 end exponent    
  3. open parentheses fraction numerator g over denominator g plus fraction numerator q E over denominator m end fraction end fraction close parentheses to the power of 1 divided by 2 end exponent    
  4. None of these    

The correct answer is: open parentheses fraction numerator g over denominator g plus fraction numerator q E over denominator m end fraction end fraction close parentheses to the power of 1 divided by 2 end exponent



    Net downward force m g ´ equals m g plus Q E
    Þ Effect acceleration g ´ equals open parentheses g plus fraction numerator Q E over denominator m end fraction close parentheses
    Hence time period T equals 2 pi square root of fraction numerator l over denominator g ´ end fraction end root equals 2 pi square root of fraction numerator l over denominator open parentheses g plus fraction numerator Q E over denominator m end fraction close parentheses end fraction end root

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