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99 Percentile Qs Bank for JEE MainPhysicsMotion in Two Dimensions

A ball is projected from the bottom of an inclined plane of inclination 30 o , with a velocity of 30 m s - 1 , at an angle of 30 o with the inclined plane. If g = 10 ms - 2 , then the range of the ball on given inclined plane is

Options

  1. A12 m
  2. B60 m
  3. C120 m
  4. D600 m

Correct answer

B. 60 m

Step-by-step solution

Range on incline plane, R = 2 u 2 sin α - β cos α g cos 2 β Here, β = 30 ο and α = 30 ο + 30 ο = 60 ο R = 2 ( 30 ) 2 sin ( 30 ° ) cos ( 60 ° ) 10 cos 2 ( 30 ° ) = 2 ( 30 ) 2 ( 1 2 ) ( 1 2 ) 10 ( 3 4 ) = 60 m

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