A curved surface of `mu= 1.5` forms a virtual image of an object which is placed in air at a distance of 15 cm from the surface. The image is formed at a distance of 60 cm, what is the radius of curvature of the curved surface? Also, calculate the power of curved surface and the two focal lengths of the surface.

Explanation

To solve the problem step by step, we will use the formula for refraction at a curved surface and the sign conventions for distances and refractive indices.

### Step 1: Identify the given values
- Refractive index of the curved surface, \( \mu_2 = 1.5 \)
- Refractive index of air, \( \mu_1 = 1 \)
- Object distance, \( u = -15 \, \text{cm} \) (negative because the object is in front of the surface)
- Image distance, \( v = -60 \, \text{cm} \) (negative because the image is virtual and on the same side as the object)

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