A concave mirror of focal length in air is dipped in a liquid of refractive index . Its focal length in the liquid will be:
- A
- B
- C
- D
A concave mirror of focal length in air is dipped in a liquid of refractive index . Its focal length in the liquid will be:
Correct answer:D
Standard Method
Given: A concave mirror has focal length in air and is dipped in a liquid of refractive index .
Find: The focal length of the mirror in the liquid.
A mirror forms images by reflection, not by refraction. Therefore, its focal length depends only on its geometry, that is, the radius of curvature.
Using the mirror relation:
Here, is the radius of curvature of the mirror. Since the refractive index of the surrounding medium does not appear in this expression, changing the medium from air to a liquid does not change the focal length.
Therefore, the focal length remains in the liquid.
The correct option is D.
Concept Shortcut
Given: A concave mirror is immersed in a liquid of refractive index .
Find: Whether its focal length changes.
For mirrors, reflection is the governing phenomenon, so the surrounding medium does not affect focal length. Only lenses change focal length when placed in another medium because refraction depends on refractive index.
Hence, the focal length stays .
The correct option is D.
Confusing a mirror with a lens. A lens changes focal length in a different medium because refraction depends on refractive index, but a mirror works by reflection. Use the mirror formula based on curvature instead.
Substituting into the answer because it appears in the question. This is incorrect because the focal length of a spherical mirror is determined by only. Check whether the governing formula actually contains before modifying the result.
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