Please show work and explain. Answer is already given. Thank You. Light is incid

Question

Please show work and explain. Answer is already given. Thank You. Light is incident on a mirror with a glass covering. The incoming ray makes an angle of theta1 = 50 degrees with the normal to the glass. At what angle does the ray strike the mirror (theta2)? 25. degrees 28 degrees 35 degrees 39 degrees 45 degrees In this situation, compare angles theta2 and theta3. (Note: angles may not be drawn to scale.) theta2 = theta3 theta2 theta3 An object is placed 10.0 cm in front of a Christmas tree ornament (with radius of curvature 2 cm) that acts as a convex mirror. How far from the mirror is the image located? -1.1cm (behind the mirror) -0.9 cm (behind the mirror) 0 cm (at the mirror) +0.9 cm (in front of the minor) +1.1 cm (in front of the mirror)

Explanation / Answer

Number 1)

Apply snells law

n1sin(i) = n2sin(r)

1(sin 50) = 1.65(sin r)

r = 27.7o round to 28o

Number 2)

angle of incidence equals angle of reflection, they must be equal

Number 3)

Apply 1/f = 1/p + 1/q

For a convex mirror, the focal length is negative and its half the radius of curvature

f = -R/2 = -1

1/-1 = 1/10 + 1/q

q = -.91 cm (Negative means behind the mirror)

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