The reflecting surfaces of two intersecting flat mirrors are at an angle of 59 ◦ , as shown in the figure. A light ray strikes the horizontal mirror at an angle of 53◦ with respect to the mirror’s surface (Figure is not drawn to scale) Calculate the angle φ. Answer in units of ◦.

A ray of light strikes a flat block of glass at an incidence angle of 01 = 35.0°. The glass is 2.00 cm thick and has an index of refraction that equals n = 1.75. 'g 2.00 cm (a) What is the angle of refraction, 2, that describes the light ray after it enters the glass from above? (Enter your answer in degrees to at least 2 decimal places.) (b) with what angle of incidence, 03, does the ray approach the interface at the bottom of the glass? (Enter your answer in degrees to at least 2 decimal places.) ° (c) with what angle of refraction, 84, does the ray emerge from the bottom of the glass? (Enter your answer in degrees to at least 1 decimal place.) о (d) The distance d separates the twice-bent ray from the path it would have taken without the glass in the way. What is this distance (in cm)? cm (e) At what speed (in m/s) does the light travel within the glass? m/s (f) How many nanoseconds does the light take to pass through the glass along the angled path shown here? ns (g) Is the travel…

You can see part of the back of your head if you have two mirrors  mounted at an acute angle. The picture shows a top view of this with a ray of light that starts at the side of your head, reflects off both mirrors and to your eye. If you are standing equidistant from both mirrors and the angle between the mirrors is 67.4o, what is the angle of reflection from the first mirror? Please give your answer in degrees.

A ray of light travels from air into another medium, making an angle of θ1 = 45.0° with the normal as in the figure below. (A light ray in air is moving down and to the right and is incident on a second medium. It makes an angle θ1 with the vertical. Inside the vertical, it continues to move down and to the right but at a steeper slope than the incident ray. It makes an angle θ2 with the vertical.) (a) Find the angle of refraction θ2 if the second medium is ice. °(b) Find the angle of refraction θ2 if the second medium is flint glass. °(c) Find the angle of refraction θ2 if the second medium is carbon tetrachloride. °

A small candle is placed on the optical axis upright in front of an unknown spherical mirror. If the magnification of the image is 2.00 and the distance between object and image is 45.0 cm, what kind of mirror is this, concave or convex? What is the focal length of such a mirror?

The two mirrors illustrated in the figure below meet at a right angle. The beam of light in the vertical plane indicated by the dashed lines strikes mirror 1 as shown. (Let d = 1.40 m and 0 = 42.0°.) Mirror 2 d A Ꮎ Mirror 1 (a) Determine the distance the reflected light beam travels before striking mirror 2. m (b) In what direction does the light beam travel after being reflected from mirror 2? ° above the horizontal

A plane mirror and a concave mirror (f = 8.70 cm) are facing each other and are separated by a distance of 23.0 cm. An object is placed between the mirrors and is 11.5 cm from each mirror. Consider the light from the object that reflects first from the plane mirror and then from the concave mirror. Find the location of the image that this light produces in the concave mirror. Specify this distance relative to the concave mirror. Number i C Object F Units

The focal length of a concave mirror has a magnitude of 20 cm. What is its radius of curvature?

Two light rays, originating from the same point, have an angle of 35.0° between them and reflect off a plane mirror. Determine the angle between the reflected rays.

As shown in the figure, a ray of light strikes a plane mirror with some incident angle. The mirror is now rotated by an angle of ? = 19.0° about an axis through the point where N1 contacts the mirror, without altering the incident ray. The new position is shown by the line M2. (a) Determine the angle through which the reflected ray rotates if the incident angle is 40.0°.° (b) Determine the angle through which the reflected ray rotates if the incident angle is 50.0°.°