MHT CET · Physics · Ray Optics
A convex lens is dipped in a liquid whose refractive index is equal to refractive index of lens material. Then its focal length will
- A become infinite
- B remain same
- C decrease
- D become zero
Answer & Solution
Correct Answer
(A) become infinite
Step-by-step Solution
Detailed explanation
Given that refractive of liquid is equal to refractive index of lens.
\(\Rightarrow n_{\text {lens }}=n_{\text {liquid }}\)
Let the focal length be \(f\).
From lens makers formula, we get \(\frac{1}{f}=\frac{\left(n_{\text {lens }}-n_{\text {liquid }}\right)}{n_{\text {liquid }}}\left(\frac{1}{R_1}-\frac{1}{R_2}\right)\)
Here, \(n_{\{\text {lens }\}}-n_{\{\text {liquid }\}}=0\)
Therefore, the focal length will be infinite.
\(\Rightarrow n_{\text {lens }}=n_{\text {liquid }}\)
Let the focal length be \(f\).
From lens makers formula, we get \(\frac{1}{f}=\frac{\left(n_{\text {lens }}-n_{\text {liquid }}\right)}{n_{\text {liquid }}}\left(\frac{1}{R_1}-\frac{1}{R_2}\right)\)
Here, \(n_{\{\text {lens }\}}-n_{\{\text {liquid }\}}=0\)
Therefore, the focal length will be infinite.
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