A convex lens is dipped in a liquid whose refractive index is equal to refractive index of lens material.…

A convex lens is dipped in a liquid whose refractive index is equal to refractive index of lens material. Then its focal length will
  1. become infinite
  2. remain same
  3. decrease
  4. become zero

Solution

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.

Asked in: MHT CET 2022 (08 Aug Shift 1)

Practice more Ray Optics questions on Aicharya