3. A double convex lens has faces of radii of 10.4 cm and 3.9 cm. Its index of r

Question

3. A double convex lens has faces of radii of 10.4 cm and 3.9 cm. Its index of refraction is 1.68. Determine… a. The focal length of the lens

a. .23 cm

b. .46 cm

c. .37 cm

d. -.23 cm

e. -.37 cm

b. The power of the lens

a. 47.8 diopters

b. 52.1 diopters

c. 56.0 diopters

d. 49.2 diopters

e. 43.5 diopters

c/ A candle with a flame 3.6 cm tall is placed 5.7 cm from the front of a concave mirror. A virtual image is formed 15 cm behind the mirror.

Find the focal length of the mirror.

a. 11.4 cm

b. 14.1 cm

c. 9.2 cm

d. 10.6 cm

e. 8.6 cm

. Find the radius of curvature of the mirror.

a. 9.9 cm

b. 10.1 cm

c. 6.3 cm

d. 4.2 cm

e. 8.4 cm

. How tall is the image of the flame?

a. 9.5 cm

b. 11.0 cm

c. 13.1 cm

d. 8.5 cm

e. 10.6 cm

Explanation / Answer

object distance, p = 5.7 cm

image distance, q = - 15 cm

1/f =1/p + 1/q

f = 9.2 cm ......Ans(c)

R = 2 f = 18.4 cm .......Ans(e)

m = - q / p = 2.63

and m = hi / ho

2.63 = hi / 3.6

hi = 9.5 cm

Ans(A)

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