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There is a small hole near the bottom of an open tank filed with a liquid. The speed of the water ejected does not depend on
  • a)
    Area of the hole
  • b)
    Density of the liquid
  • c)
    Height of the liquid from the hole
  • d)
    Acceleration due to gravity
Correct answer is option 'A,D'. Can you explain this answer?
Verified Answer
There is a small hole near the bottom of an open tank filed with a liq...
Let A1 and A2 be the area of open tank and the hole, respectively. Using Bernoulli's equation,

When P0 is the atmospheric pressure as both cross section are open. By the equation of continuity



The hole is given to be small, i.e. A2 ≪ A1, therefore. 

∴  The speed of the water ejected depends only on the height of the liquid from the hole and acceleration due to gravity.
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There is a small hole near the bottom of an open tank filed with a liquid. The speed of the water ejected does not depend ona)Area of the holeb)Density of the liquidc)Height of the liquid from the holed)Acceleration due to gravityCorrect answer is option 'A,D'. Can you explain this answer?
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