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Question

Two hollow hemispheres of metal are fitted together to form a sphere of radius R. Air from the shall is pumped out and pressure remained left inside is fraction numerator 1 over denominator 4 end fractionth the outside atmospheric pressure P0. The force required to separate the hemisphers is

  1. fraction numerator 3 over denominator 4 end fraction pi R to the power of 2 end exponent P subscript 0 end subscript    
  2. fraction numerator 3 over denominator 2 end fraction pi R to the power of 2 end exponent P subscript 0 end subscript    
  3. pi R to the power of 2 end exponent P subscript 0 end subscript    
  4. fraction numerator 1 over denominator 2 end fraction pi R to the power of 2 end exponent P subscript 0 end subscript    

The correct answer is: fraction numerator 3 over denominator 4 end fraction pi R to the power of 2 end exponent P subscript 0 end subscript


    Excess pressure exists outside

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