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If the surface integral of the field    over the closed surface of an arbitrary unit sphere is to be zero, then the relationship between α, β  and γ is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If the surface integral of the field over the closed surface of an arb...
By Applying Gauss divergence theorem, Surface integral of a field is equal to Volume integral of divergence of the field.
So, here field is  it's divergence is div A= 2α+β-3γ  . 
Now,we need to take volume integral of div A to get surface integral of A. But, given surface integral is = 0 implies vol. integral of div A is also = 0.
Implies, div A=0 =2α+β-3γ.
2α+β-3γ  =0. Now divide the eqn with '6' then we get 
                  α/3+β/6- γ/2=0.  So, option 'B' is Correct.
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If the surface integral of the field over the closed surface of an arbitrary unit sphere is to be zero, then the relationship between α,β and γisa)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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