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Q.

The maximum range of a gun along horizontal is 16 km. If g is ${10 m/s}^{2}$ , the muzzle velocity of the shell will be

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a

$400 m/s$

b

$200 m/s$

c

$800 m/s$

d

$256 m/s$

answer is A.

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Detailed Solution

$R_{max} = 16 km = 16, 000 m$

$g = 10 m/s$

$u = ?$

$R_{\max} = \frac{u^{2}}{g}$

$16, 000 = \frac{u^{2}}{10}$

$u^{2} = 16 \times 10^{4}$

$u = 4 \times 10^{2}$

$u = 400 m/s$

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The maximum range of a gun along horizontal is 16 km. If g is10 m/s2, the muzzle velocity of the shell will be