Physics-
General
Easy

Question

A charged ball B hangs from a silk thread S, which makes an angle theta with a large charged conducting sheet P, as shown in the figure. The surface charge density sigma of the sheet is proportional to

  1. sin invisible function application theta    
  2. tan invisible function application theta    
  3. cos invisible function application theta    
  4. cot invisible function application theta    

The correct answer is: tan invisible function application theta


    T sin invisible function application theta equals q E
    and T cos invisible function application theta equals m g
    Þ tan invisible function application theta equals fraction numerator q E over denominator m g end fraction equals fraction numerator q over denominator m g end fraction open parentheses fraction numerator sigma over denominator 2 epsilon subscript 0 end subscript end fraction close parentheses
    Þ sigma proportional to tan invisible function application theta.

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