Question

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 ${\overrightarrow{V}}_1$ and ${\overrightarrow{V}}_2$ respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is ${\overrightarrow{V}}_2-{\overrightarrow{V}}_1$.

• 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 False
• C. STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
• D. STATEMENT -1 is False, STATEMENT-2 is True

Answer 1

Answer: (C)

Both the statements are true,but correct explanation of statement one is

we,know that $\theta =\frac{arc}{radius}$

so value of $\theta$ will be more for nearby object and radius will be less wile value of $\theta$ will be less for distant object and radius will be more.

that is the reason behind this phenomenon and near one will move faster and distant object will move relatively less(i.e both are moving w.r.t any frame of refrence)