Physics-
General
Easy
Question
Consider a disc rotating in the horizontal plane with a constant angular speed 
about its centre 
. 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 
and 
are simultaneously projected at an angle towards 
. The velocity of projection is in the 
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 
rotation. ii) their range is less than half the disc radius, and (iii) remains constant throughout. Then
- lands in the shaded region and in the unshaded region
- lands in the unshaded region and in the shaded region
- Both and land in the unshaded region
- Both and land in the shaded region
lands in the shaded region and in the unshaded region
lands in the unshaded region and in the shaded region
and land in the unshaded region
and land in the shaded region
The correct answer is: lands in the shaded region and in the unshaded region
To reach the unshaded portion particle needs to travel horizontal range greater than 
or 
but its range is less than 
. So it will fall on shaded portion
is near to origin, its velocity will be nearly along 
so its will fall in unshaded portion
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