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QJEEAdv08Phe436: JEE Advanced 2008 Physics - Class 11 JEEAdv08Phe436 Solution: STATEMENT-1: For an observer looking out through the window of…

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 v→1{\overrightarrow v _1} and v→2{\overrightarrow v _2} respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is v→2{\overrightarrow v _2} - v→1{\overrightarrow v _1} .

Multiple Choice Options

  • 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

Step-by-Step Verified Solution

Statement 1 is True.

For a moving observer, the nearly objects appear to move in the opposite direction at a large speed. This is because the angular speed of the nearby object w.r.t to 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 True but related to relative velocity

V‾21=V‾2G−V‾1G{\overline V _{21}} = {\overline V _{2G}} - {\overline V _{1G}}

Where, G = Laboratory frame

Thus, both the statement are true but statement 2 is not the correct explanation of statement 1.

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