STATEMENT-1: For an observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the train, while the distant objects appear to be stationary.
and
STATEMENT-2: If the observer and the object are moving at velocities and respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is .
Official answer: B
Statement 1. Nearby objects sweep across the field of view quickly (large angular speed) in the direction opposite to the train; distant objects change direction so slowly that they appear stationary. True.
Statement 2. The relative velocity is . True. But relative velocity is the same for near and far objects; the difference in Statement 1 comes from the angular speed , so Statement 2 does not explain it.
(B)