Optics Answers

A shiny metallic Christmas ball ornament 5.10 cm in diameter is used as a mirror. What is the mirror's focal length? please answer in cm. thank you!

You and a friend are playing a game of squirt-gun tag in a maze. Suddenly you see your friend's image in a small planar mirror. You take a shot over the barrier in front of you and find that your friend is just at the end of the 7.0 m range of your squirt gun. If you are 4.0 m from the point of reflection of the light ray, how far from the point of reflection of the light ray is your friend? answer in meters please.

Two mirrors are placed at a 90° angle to each other. A light ray strikes one mirror 0.620 m from the intersection of the mirrors with an incident angle of 36.5°. The ray then travels a distance d before reflecting from the second mirror. (a) What is the distance d? answer should be in meters.

A mirror creates an image of magnification −1/3. (a) Is the image upright or inverted? (b) If the object is 7.75 cm tall, what is the height of the image? State your answer with the correct sign. all answers should be in cm. thanks.

You look into a shaving mirror and the upright image of your face is 40.0 cm away from you. The image has a magnification of 1.50. (a) How far away are you from the mirror? (b) What is the radius of curvature? all answers should be in cm. thanks.

How does diffraction create dispersion?
if you could please provide with an example, like how this works in a prism.

Lets say you've a crystal ball, on one side we cast colored glass. For which refractive index, the image of crystal grain would appear in infinity, when you look from the other side (not colored) of the crystal ball?

Derive the relation between the focal length of a convex lens in terms of the radii of curvature of the two surfaces and refractive index of its material. Write the sign conventions and two assumptions used in the derivation of this relation.

There is a source of light on a wall and a plane mirror is placed parallel to wall such that a spot of reflected light is formed on the wall containing source.What will happen to spot if mirror moves with uniform velocity towards the wall?

Left side: n=3/2, R=4 cm (concave spherical surface according to the object), 3.5 cm from object. Right side: n=4/3, planar reflecting surface, 2.0 cm away from the object. Object is stuck in the middle of this system. Find all characteristics of two images formed by this system.