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JEE Main 2026 · 6 Apr · Shift 2, Physics question 34

A cylindrical vessel of 40 cm radius is completely filled with water and its capacity is 528 dm³ (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.

Choose one option
Answer and worked solution

Official answer: B

Height of the vessel. π(0.4)2h=0.528\pi(0.4)^2h=0.528 m³ gives h=1.05h=1.05 m =105=105 cm. The block is also 105 cm high.

Hole. It is 70 cm below the water surface and 105+35=140105+35=140 cm above the ground.

Range.
R=270×140=1402 cm.R=2\sqrt{70\times140}=140\sqrt2\text{ cm}.

(B)