MHT CET · Physics · Mechanical Properties of Fluids
A vessel completely filled with water has two holes 'P' and 'Q' at depths ' 2 h ' and ' 8 h ' from the top respectively. Hole ' P ' is square of side ' a ' and hole ' \(Q\) ' is a circle of radius ' \(r\) '. The water flowing out per second from both the holes is same, then side ' \(a\) ' of hole ' \(P\) ' is
- A \(\sqrt{2 \pi r}\)
- B \(r \sqrt{2 \pi}\)
- C \(2 \sqrt{\pi r}\)
- D \(2 \pi r\)
Answer & Solution
Correct Answer
(B) \(r \sqrt{2 \pi}\)
Step-by-step Solution
Detailed explanation
\( v_P = \sqrt{2gh_P} = \sqrt{2g(2h)} = \sqrt{4gh} \) \( v_Q = \sqrt{2gh_Q} = \sqrt{2g(8h)} = \sqrt{16gh} \)
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