TS EAMCET · Physics · Mechanical Properties of Fluids
A cylindrical vessel is filled with water upto the height \(1 \mathrm{~m}\) from the base. A small orifice is opened at some height in the cylinder and the water level is reduced to height of orifice in \(20 \mathrm{~s}\). If the base area of the cylinder is 100 times the area of orifice, then the height of orifice from the base is (take, \(g=10 \mathrm{~m} / \mathrm{s}^2\) )
- A \(80 \mathrm{~cm}\)
- B \(60 \mathrm{~cm}\)
- C \(40 \mathrm{~cm}\)
- D \(20 \mathrm{~cm}\)
Answer & Solution
Correct Answer
(A) \(80 \mathrm{~cm}\)
Step-by-step Solution
Detailed explanation
Height of water in vesse \(=1 \mathrm{~m}\) Let orifice is at a depth \(h\) from above Time taken to reduce the water level up to orifice, \( t=\frac{A}{A_0} \sqrt{\frac{2 x}{g}} \) where, \(A_0=\) area of orifice and \(A=\) base area.…
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