The maximum range of a gun of horizontal terrain is 16 km.

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The maximum range of a gun of horizontal terrain is 16 km. If g = 10 ms^–2, then muzzle velocity of a shell must be

1. 160 ms^–1
2. 200 √2 ms^–1
3. 400 ms^–1
4. 800 ms^–1

Correct Option: C

R_max =	v²	= 16000 [ 6 km = 16000 m ]
	g

or v = (16000 g)^{1 / 2} = (16000 × 10)^{1 / 2}
= 400 ms ^–1