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Question

PQ is a smooth inclined plane whose angle of inclination theta can be varied in such a way that point Q remains fixed & P can move on a vertical line PR. A particle slides from rest from point P. At different values of thetatime for descent td from P to Q is noted. The following statement is true about td:

  1. minimum value of t subscript d end subscript text  is  end text 2 square root of fraction numerator l over denominator g end fraction end root    
  2. td is minimum when theta approaches 90°    
  3. td decreases continuously as theta is increased.    
  4. td first increases then decreases as theta is increased    

The correct answer is: td is minimum when theta approaches 90°

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