Q1/ Consider a laser cavity consisting of a concave mirror and a convex mirror, separated by 2m as shown in the figure. . Given R1=R2 = 2m, where R1 and R2 are the radii of curvatures of the concave and convex mirrors, respectively. Obtain the matrix representing the ray transformation for one complete round trip in the

Let IB and OB be distances from the plane mirror to the image and object, respectively. Show that IB = OB. Prove that image and object have the same size.

The drawing shows a ray of light traveling from point A to point B, a distance of 7.80 m in a material than has an index of refraction n1. At point B, the light encounters a different substance whose index of refraction is n2 = 1.63. The light strikes the interface at the critical angle of Thetac = 49.2°. How much time does it take for the light to travel from A to B?

cem 1 1 of 1 Use this information for parts G, H and I. The sideview mirror on your car is convex. When looking in this mirror, you see a car that has an actual distance of 100 m behind you (the distance from the car to the mirror) and the image appears to be only -1.961 m from the mirror. Part G What is the focal length of this mirror? Answer in units of m to four significant figures. Do not Include the units symbol. Submit Request Answer Part H If the image of the car appears to be 2.941×10¬2 m tall, what is the height of the actual car? Answer in units of m to four significant figures. Do not include the units symbol. ? Submit Request Answer Part I

Consider a mirror lying along the x-axis in R2. A laser starts at the point (−2, 6) and is fired in the direction of ⟨4, −3⟩. The beam travels until it hits the mirror, where it reflects off the mirror and then travels until it hits a wall on the line x = 20. (a) Give a parametrization for the initial path of the laser. (b) At what point does this beam hit the mirror? (c) Give a parametrization for the path of the reflected beam. (d) At what point does this beam hit the wall?

A mirror is rotating, reflecting the incident rays. The angular speed of the reflected ray is wB. VWhat is the angular speed of the rotating mirror, WM? 2WB WB 0.5wB

Two plane mirrors make the angle a = 58.0° between them. A ray of light incident on one of the mirrors is reflected and it hits the second mirror, as shown in the figure. Determine the angle ẞ between the ray incident on the first mirror and the ray reflected off of the second mirror. B = B

The drawing shows a ray of light traveling from point A to point B, a distance of 6.60 m in a material than has an index of refraction n₁. At point B, the light encounters a different substance whose index of refraction is n₂ = 1.63. The light strikes the interface at the critical angle of 8= 48.1°. How much time does it take for the light to travel from A to B? Number i Units *₂= 1.63 #1