Lens Formula Applicability – Rankers Physics

Lens Makers Formula/ Len's Formula: Practice Problem & Solution

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 Explained:

To solve this problem, we apply the core principles of Lens Makers Formula/ Len's Formula. Understanding the underlying formula is key to arriving at the correct answer below:

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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