A cylindrical vessel is full of water (density $ρ = 1 gm / cc$ ) is placed on horizontal ground as shown. A small hole of area $(= 1 cm^{2})$ is made on a curved wall at a height of 2m from the bottom of container (container does not move) choose correct statement( s ) ( $g = 10 m / s^{2}$ ) :-

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Jet speed when the level is 7 m above ground (hole 2 m up, so head 5 m): $v = 2 g \times 5 = 10 m/s$

Reaction force on the container: $F = ρ A v^{2} = 1000 \times 1 0^{- 4} \times 100 = 10 N$ so (B) is correct.

Time to fall 4 m to the ground: $4 = \frac{1}{2} g t^{2} \Rightarrow t = 8/ g$ ; range $R = v t = 2 g \times 5 \frac{8}{g} = 80 m$ so (C) is correct.

As the water level falls, the head decreases and R only decreases, so (A) and (D) are wrong.

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