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If H1 and H2 be the greatest heights of a projectile in two paths for a given value of range, then the horizontal range of projectile is given by

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Important Questions on Motion in a Plane

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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 10
If R and H are the horizontal range and maximum height attained by a projectile, than its speed of projection is
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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 11
A particle projected from ground moves at angle 45° with horizontal one second after projection and speed is minimum two seconds after the projection. The angle of projection of particle is [Neglect the effect of air resistance]
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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 12
A ball is projected from ground at an angle 45° with horizontal from distance d1 from the foot of a pole and just after touching the top of pole it the falls on ground at distance d2 from pole on other side, the height of pole is
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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 13
A particle is projected with speed u at angle θ with horizontal' from ground. If it is at same height from ground at time t1 and t2, then its average velocity in time interval t1 to t2 is
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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 14
A particle is projected from ground at an angle θ with horizontal with speed u. The ratio of radius of curvature of its trajectory at point of projection to radius of curvature at maximum height is
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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 15
An object of mass 10 kg is projected from ground with speed 40 m s-1 at an angle 60° with horizontal. The rate of change of momentum of object one second after projection in SI unit is
[Take g=9.8 m s-2
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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 16
An object is projected from ground with speed 20 m s-1 at angle 30° with horizontal. Its centripetal acceleration one second after the projection is [Take g=10 m s-2 ]
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Gamma Question Bank for Medical Physics>Chapter 4 - Motion in a Plane>Assignment>Q 17
A particle is moving on a circular path with constant speed v. It moves between two points A and B, which subtends an angle 60° at the centre of circle. The magnitude of change in its velocity and change in magnitude of its velocity during motion from A to B are respectively