Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JIPMER2005PhysicsMotion in Two Dimensions

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

Practice Motion in Two Dimensions on Quantrex Academy →

More from Motion in Two Dimensions

A particle moving with uniform speed in a circular path maintains: 2024A bob is whirled in a horizontal plane by means of a string with an initial speed of rpm. The tension in the string is T . If speed becomes 2 while keeping the same radius, the ten 2024A particle is executing uniform circular motion with velocity v and acceleration a . Which of the following is true? 2023A ball is projected from point A with velocity 20 ~m ~s ⁻¹ at an angle 60^ to the horizontal direction. At the highest point B of the path (as shown in figure), the velocity v ~m ~ 2023A bullet is fired from a gun at the speed of   280   m   s - 1 in the direction 30 ° above the horizontal. The maximum height attained by the bullet is ( g = 9 2023A constant torque of 100 ~N ~m turns a wheel of moment of inertia 300 ~kg ~m ^2 about an axis passing through its centre. Starting from rest, its angular velocity after 3 ~s is 2023A ball is projected with a velocity, 10   m   s - 1 , at an angle of 60 ° with the vertical direction. Its speed at the highest point of its trajectory will be 2022A cricket ball is thrown by a player at a speed of 20 ~m / s in a direction 30^ above the horizontal. The maximum height attained by the ball during its motion is (g=10 ~m / s ^2 ) 2022 Full Motion in Two Dimensions list All JIPMER PYQs