A layer of ice having parallel sides floats on water. If light is incident on th

Question

A layer of ice having parallel sides floats on water. If light is incident on the upper surface of the ice at an angle of incidence of 27.4 degree, what is the angle of refraction in the water? How many 1160-nm photons does it take to have the same total energy as five 232-nm photons? photons A concave makeup mirror is designed so that a person 22 cm in front of it sees an upright image magnified by a factor of two. What is the radius of curvature of the mirror? R = m At an intersection of hospital hallways, a convex spherical mirror is mounted high on a wall to help people avoid collisions. The magnitude of the mirror's radius of curvature is 0.518 m. (a) Locate the image of a patient 11.4 m from the mirror. (Use the correct sign conventions.) 25.3 cm (from the mirror) (b) Indicate whether the image is upright or inverted. upright inverted

Explanation / Answer

5.n =25

6.

M = +2 P = 22 cm

From these values we can calculate q from the equation

M=-q/p

2 = -q/22

q = -44

Than plug in the p and q values to the equation below and solve for R (radius of curvature)

1/p + 1/q = 2/R

1/22 + 1/-44= 2/R

R = 88 cm

7.A convex mirror always produces an image that is ..
diminished
behind mirror
upright
virtual

(a) Focal length f = -0.259m (½ rad of curvature and virtual)
Object distance, u = +11.40m (real)
v = image distance

1/u + 1/v = 1/-0.259m
1/v = -1/0.25 - 1/11.4

v = -0.2446 m (behind mirror, virtual)

(b) magnification .. M = - (v/u)
M = -(-0.2446 / 11.4)

M = (+) 0.0214 (upright image)

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