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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): A fish in a pond looks at a bird flying vertically above in the air. To the fish, the bird appears to be at a greater height from the water surface than its actual height. Reason (R): The apparent height h' of an object at actual height h in a rarer medium of refractive index n₁ , when viewed from

Options

  1. ABoth (A) and (R) are true and (R) is the correct explanation of (A)
  2. BBoth (A) and (R) are true but (R) is not the correct explanation of (A)
  3. C(A) is false but (R) is true
  4. D(A) is true but (R) is false

Correct answer

D. (A) is true but (R) is false

Step-by-step solution

Evaluate the Assertion (A): When an object in a rarer medium (air) is viewed from a denser medium (water), the apparent height is given by h' = h n_ observer n_ object . Here, n_ observer = n_ water and n_ object = n_ air . Since n_ water > n_ air , the apparent height h' is greater than the actual height h . Thus, the bird appears to be at a greater height. The Assertion (A) is true. Evaluate the Reason (R): The general formula for apparent height/depth is h' = h ( n_ observer n_ object ) . In the given scenario,

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