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Question

A large sheet carries uniform surface charge density sigma. A rod of length 2l has a linear charge density lambda on one half and negative lambda on the second half. The rod is hinged at mid point O and makes an angle theta with the normal to the sheet. The torque experienced by the rod is

  1. 0    
  2. fraction numerator sigma lambda l to the power of 2 end exponent over denominator 2 epsilon subscript 0 end subscript end fraction s i n invisible function application theta    
  3. fraction numerator sigma lambda l to the power of 2 end exponent over denominator epsilon subscript 0 end subscript end fraction s i n invisible function application theta    
  4. fraction numerator sigma lambda l over denominator 2 epsilon subscript 0 end subscript end fraction    

The correct answer is: fraction numerator sigma lambda l to the power of 2 end exponent over denominator 2 epsilon subscript 0 end subscript end fraction s i n invisible function application theta

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