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JEE Advanced2008PhysicsMotion in Two DimensionsActual

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 v _ 1 and v ₂ respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is v ₂ - v ₁ .

Options

  1. AStatement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.
  2. BStatement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.
  3. CStatement 1 is true, Statement 2 is false.
  4. DStatement 1 is false, Statement 2 is true

Correct answer

B. Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.

Step-by-step solution

Statement-2, is formula of relative velocity. But it does not explain statement-1 correctly. The correct explanation of statement-1 is due to visual perception of motion. The object appears to be moving faster, when its angular velocity is greater w.r.t observer. correct answer is (b).

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