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NEET Physics QUESTION #7325
Question 1

The maximum horizontal range of a projectile is 16 km ($g = 10\text{ m/s}^2$). The minimum muzzle velocity required is:

  • $1600\text{ m/s}$
  • $400\text{ m/s}$✔️
  • $200\sqrt{2}\text{ m/s}$
  • $160\sqrt{10}\text{ m/s}$
Correct Answer Explanation

Maximum range occurs at $45°$: $R_{\max} = \dfrac{u^2}{g}$

$u^2 = R_{\max}\times g = 16000 \times 10 = 160000$

$u = \sqrt{160000} = \mathbf{400\text{ m/s}}$