Physics-
General
Easy

Question

An infinite nonconducting sheet at x=0 carries a uniform surface charge density sigma. A thin rod of length 2 L has a uniform linear charge density lambda on one half and negative lambda on the other half. The rod is hinged at its mid point C at x=2 L and lies in the XOZ plane making an angle alpha with the positive X-axis as shown in figure. The torque stack tau with rightwards arrow on top experienced by the rod is fraction numerator 4 sigma lambda L to the power of 2 end exponent over denominator k element of subscript 0 end subscript end fraction stack j with ˆ on top s i n invisible function application alpha. The value of k is

  1. 1    
  2. 2    
  3. 3    
  4. 8    

The correct answer is: 8

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