Physics-
General
Easy

Question

For the arrangement shown in figure the time interval after which the water jet ceases to cross the wall (area of cross section of tank is A and orifice is ‘a’)

  1. fraction numerator A over denominator a end fraction square root of fraction numerator 2 over denominator g end fraction end root open parentheses square root of H minus square root of fraction numerator x to the power of 2 end exponent over denominator 4 y end fraction end root close parentheses    
  2. fraction numerator A over denominator a end fraction square root of fraction numerator 2 over denominator g end fraction end root open parentheses square root of H minus square root of fraction numerator 4 y over denominator x to the power of 2 end exponent end fraction end root close parentheses    
  3. fraction numerator A over denominator a end fraction square root of fraction numerator 2 over denominator g end fraction end root open parentheses square root of H minus square root of fraction numerator 4 y to the power of 2 end exponent over denominator x end fraction end root close parentheses    
  4. null    

The correct answer is: fraction numerator A over denominator a end fraction square root of fraction numerator 2 over denominator g end fraction end root open parentheses square root of H minus square root of fraction numerator x to the power of 2 end exponent over denominator 4 y end fraction end root close parentheses


    Velocity of efflux = square root of 2 g h end root
    Find ‘h’ to have range of ejected water greater or equal than x
    rightwards double arrow x equals square root of 2 g h end root. square root of fraction numerator 2 y over denominator g end fraction end root rightwards double arrow h equals fraction numerator x to the power of 2 end exponent over denominator 4 y to the power of 2 end exponent end fraction
    time taken by liquid to drain out from H to h is equals fraction numerator A over denominator a end fraction square root of fraction numerator 2 over denominator g end fraction end root open square brackets square root of H minus square root of h close square brackets

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