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NEET2005PhysicsMotion in Two DimensionsActual

The maximum range of a gun on horizontal terrain is 16 km , if g=10 ~m / s ^2 . What must be the muzzle velocity of the shell?

Options

  1. A200 ~m / s
  2. B100 ~m / s
  3. C400 ~m / s
  4. D300 ~m / s

Correct answer

C. 400 ~m / s

Step-by-step solution

We know that in projection of the particle, for maximum range, =45^ Now maximum range aligned & R= u^2 2 g = u^2 90^ g & u= R g & ...(1) aligned Here : R_ =16 ~km =16 10^3 ~m , g=10 ~m / s ^2 Now from eq. (1), we get u= 16 10^3 10 =400 ~m / s

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