An equiconvex lens of refractive index `mu_(1)`, focal length 'f' and radius of curvature 'R' is immersed in a liquid of refractive index `mu_(2)`. For (i) `mu_(2)gtmu_(1)`, and (ii) `mu_(2)ltmu_(1)`, draw the ray diagrams in the two cases when a beam of light coming parallel to the principal axis is incident on the lens. Also find the focal length of the lens in terms of the original focal length and the refractive index of the glass of the lens and that of the medium.

Explanation

To solve the problem, we will break it down into two parts: drawing the ray diagrams for the two cases and then finding the focal length of the lens when immersed in a liquid.

### Part 1: Ray Diagrams

#### Case (i): When `mu_(2) > mu_(1)`

1. **Setup**: Draw an equiconvex lens with its principal axis. Mark the focal points (F) on both sides of the lens. The lens has a refractive index `mu_(1)` and is immersed in a liquid with a refractive index `mu_(2)` which is greater than `mu_(1)`.

...