TS EAMCET · Physics · Mechanical Properties of Fluids
A cylindrical vessel of height \(50 \mathrm{~cm}\) is filled with water and rests on a table. A small hole is made at the height \(h\) from the bottom of the vessel so that the water jet could hit the table surface at a maximum distance \(x_{\max }\) from the vessel as shown in the figure. The value of \(x_{\max }\) will be (Neglect the viscosity of water.) 
- A \(15 \mathrm{~cm}\)
- B \(35 \mathrm{~cm}\)
- C \(50 \mathrm{~cm}\)
- D \(40 \mathrm{~cm}\)
Answer & Solution
Correct Answer
(C) \(50 \mathrm{~cm}\)
Step-by-step Solution
Detailed explanation
Given, height of cylinder, \(H=50 \mathrm{~cm}\) The given situation is shown in the figure. Range (maximum distance) is given by \[ x=2 \sqrt{h(H-h)} \] \(x\) will be maximum only when \(\frac{d x}{d h}=0\) \[ 2.1[h(-1)+(H-h) 1]=0 \]…
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