JEE Mains · Physics · STD 11 - 9.1 fluid mechanics
A cylindrical vessel of \(40\) cm radius is completely filled with water and its capacity is \(528\) dm\(^3\) (dm : decimeter). The vessel is placed on a solid block of exactly same height as vessel. If a small hole is made at \(70\) cm below the top of water level, then horizontal range of water falling on the ground in the beginning is __________ cm.
- A \(120\sqrt{2}\)
- B \(140\sqrt{2}\)
- C \(140\sqrt{3}\)
- D \(120\sqrt{3}\)
Answer & Solution
Correct Answer
(B) \(140\sqrt{2}\)
Step-by-step Solution
Detailed explanation
Volume of the cylindrical vessel, \(V = 528\) dm\(^3 = 528000\) cm\(^3\) Radius of the vessel, \(r = 40\) cm Let the height of the vessel be \(H\). \(V = \pi r^2 H\) \(528000 = \dfrac{22}{7} \times (40)^2 \times H\) \(H = \dfrac{528000 \times 7}{22 \times 1600} = 105\) cm The…
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