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 .
STATEMENT - 2 : If the observer and the object are moving at velocities ` vec v_(1)` and `vec v_(2)` respecttively with refrence to a laboratory frame , the velocity of the object with respect to a laboratory frame , the velocity of the object with respect to the observer is `vecv_(2) - vecv(1) ` .
(a) Statement -1 is True, statement -2 is true , statement -2 is a correct explanation for statement -1
(b) Statement 1 is True , Statement -2 is True , statement -2 is NOT a correct explanation for statement -1
(c) Statement - 1 is True , Statement -2 is False
(d) Statement -1 is False, Statement -2 is True

Answer

B

Explanation

Statement -1 is true . For a moving observer, the near by objects appear to move in the opposite direction at a large speed . This is because the angular speed of the near by object w.r.t. observer is large . As the object moves away the angular velocity decreases and therefore its speed seems to be less . The distant object almost remains stationary.
Statement -2 is the concept of relative velocity which states that
` vec v_(21) = vec v_(2G) - vecv_(1G) `
where `G` is the laboratory frame .
Thus both the statement are true statement - 2 is not the correct explanation of statement -1.