AIIMS2018Physics-Optics

AIIMS 2018 Physics Refraction through lenses Assertion Reason Question

Type: Assertion Reason-conceptual-Medium-Class 12

Assertion: When a convex lens (μ₉ = 3/2) of focal length f is dipped in water, its focal length becomes 4/3 f. Reason: The focal length of convex lens in water becomes 3f.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Correct Answer

Option D

Detailed Explanation

The assertion is false because when a convex lens is immersed in water (with a refractive index μ₉ = 3/2), its effective focal length is given by the formula f=fμ1f' = \frac{f}{\mu - 1}, where μ\mu is the refractive index of the lens material relative to the medium. In this case, the focal length in water would be f=f321=2f1/2=4ff' = \frac{f}{\frac{3}{2} - 1} = \frac{2f}{1/2} = 4f, not 43f\frac{4}{3}f as stated. The reason is also false because it incorrectly states that the focal length becomes 3f3f, which is not consistent with the calculations. Thus, both the assertion and reason are incorrect, making option D the correct choice. Other options are incorrect as they imply either assertion or reason is true or that reason explains assertion, which is not the case.

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