Lens Formula Applicability – Rankers Physics
Topic: Ray Optics
Subtopic: Lens Makers Formula/ Len's Formula

Lens Formula Applicability

Assertion (A): Lens formula can be applied only for thin lenses.
Reason (R): For thick lenses one cannot find image position.
 
(1) Both (A) & (R) are true and the (R) is the correct explanation of the (A)
(2) Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false

Solution:

The simple lens formula \(\frac{1}{f} = \frac{1}{v} - \frac{1}{u}\) is an approximation valid for thin lenses. Thus, (A) is true.
For thick lenses, more complex formulae or ray tracing methods are used, but the image position can certainly be found. Thus, (R) is false.
Therefore, (A) is true but (R) is false.

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