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Question

A stone projected with a velocity u at an angle theta with the horizontal reaches maximum height H1 When it is projected with velocity u at an angle open parentheses fraction numerator pi over denominator 2 end fraction minus theta close parentheses with the horizontal, it reaches maximum height H2 The relation between the horizontal range R of the projectile, H1 and H2 is :

  1. R equals 4 square root of H subscript 1 end subscript H subscript 2 end subscript end root    
  2. R equals 4 open parentheses H subscript 1 end subscript minus H subscript 2 end subscript close parentheses    
  3. R equals 4 open parentheses H subscript 1 end subscript plus H subscript 2 end subscript close parentheses    
  4. R equals H subscript 1 end subscript superscript 2 end superscript divided by H subscript 2 end subscript superscript 2 end superscript    

The correct answer is: R equals 4 square root of H subscript 1 end subscript H subscript 2 end subscript end root

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