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TS EAMCET · Physics · Mechanical Properties of Fluids

A water barrel having water upto a depth \(d\) is placed on a table of height \(h\). A small hole is made on the wall of the barrel at its bottom. If the stream of water coming out of the hole falls on the ground at a horizontal distance \(R\) from the barrel, then the value of \(d\) is

  1. A \(\frac{4 h}{R^2}\)
  2. B \(4 h R^2\)
  3. C \(\frac{R^2}{4 h}\)
  4. D \(\frac{h}{4 R^2}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{R^2}{4 h}\)

Step-by-step Solution

Detailed explanation

Velocity of efflux of liquid \(v=\sqrt{2 g d}\) Vertical height fall by the liquid \(=h\) \(\therefore\) Time taken by the liquid \(t=\frac{\sqrt{2 h}}{g}\) \(\therefore\) Horizontal range \(=\) velocity \(\times\) time…
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