AIIMS2018Physics-Optics

AIIMS 2018 Physics Lens and Mirror Formula MCQ Question

Type: MCQ-numerical-Medium-Class 12

A convex lens of focal length 12 cm12\text{ cm} is placed in contact with a plane mirror. If the object is placed at 20 cm20\text{ cm} from the lens, the position of final image is

A

30 cm30\text{ cm} above lens

B

30 cm30\text{ cm} below lens

C

20 cm20\text{ cm} above lens

D

8.6 cm8.6\text{ cm} below lens

Correct Answer

Option D

Detailed Explanation

The calculation of the effective focal length ff using the formula 1f=2fe+1fm\frac{1}{f} = \frac{2}{f_e} + \frac{1}{f_m} leads to f=6cmf = -6 \, \text{cm}. Applying the mirror formula 1v+1u=1f\frac{1}{v} + \frac{1}{u} = \frac{1}{f} with u=20cmu = -20 \, \text{cm} results in v=8.6cmv = -8.6 \, \text{cm}, indicating that the image is virtual and located on the same side as the object. Other options are not applicable as they do not provide valid solutions or relevant information related to the problem.

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