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Question

For a spherically symmetrical charge distribution, electric field at a distance r from the centre of sphere is stack E with rightwards arrow on top equals k r to the power of 7 end exponent r where k is a constant. What will be the volume charge density at a distance r from the centre of sphere ?

  1. rho equals 9 k epsilon subscript 0 end subscript t to the power of 6 end exponent  
  2. rho equals 5 k s subscript 0 end subscript r to the power of 3 end exponent  
  3. rho equals 3 k epsilon r to the power of 4 end exponent  
  4. rho equals 9 k g subscript 0 end subscript r to the power of 0 end exponent  

The correct answer is: rho equals 5 k s subscript 0 end subscript r to the power of 3 end exponent


    By using Gauss law Error converting from MathML to accessible text.
    (Note : Check dimensionally that r µ r6 )

    Error converting from MathML to accessible text.

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