Consider a disc rotating in the horizontal plane with a constant angular speed omega about its centre O. The disc has a shaded region on one side of the diameter and an unshanded region on the other side as shown in the figure. When the disc is in the orientation as shown, two pebbles P and Q are simultaneously projected at an angle towards R. The velocity of projection is in the y minus z plane and is same for both pebbles with respect to the disc. Assume that i) they land back on the disc before the disc has completed fraction numerator 1 over denominator 8 end fraction rotation. ii) their range is less than half the disc radius, and iii) omega remains constant throughout. Then

  1. P lands in the shaded region and Q in the unshaded region    
  2. P lands in the unshaded region and Q in the shaded region    
  3. Both P and Q land in the unshaded region    
  4. Both P and Q land in the shaded region    

The correct answer is: P lands in the shaded region and Q in the unshaded region

    To reach the unshaded portion particle P needs to travel horizontal range greater than R sin invisible function application 45 degree or left parenthesis 0.7 blank R right parenthesis but its range is less than fraction numerator R over denominator 2 end fraction. So it will fall on shaded portion
    Q is near to origin, its velocity will be nearly along Q R so its will fall in unshaded portion

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