You combine two thin lenses by placing them in contact so th…

You combine two thin lenses by placing them in contact so that their axes coincide, forming what is called a compound lens. The focal lengths of the lenses are 30 cm and −50 cm, respectively. If an object is cm tall and d1 = cm, what is the height of the image (unit in cm)? Express the answer as a positive quantity.

A light beam strikes a piece of glass with an incident angle…

A light beam strikes a piece of glass with an incident angle of 45o. The beam contains two colors:  450 nm and an unknown wavelength. The index of refraction for the 450-nm light is . Assume the glass is surrounded by air, which has an index of refraction of 1. Determine the index of refraction nu for the unknown wavelength if its refraction angle is o greater than that of the 450 nm light.