1) A positivelens with f=10cm is placed to the left og a plane mirror. the dista

Question

1) A positivelens with f=10cm is placed to the left og a plane mirror. the distance between them is 25cm an object 2 cm tall is placed 15 cm left of the lens. there are three images in this problem: I1 due to the lens( light goes left to right), I2 due to the mirror and I3 due to the lens( light goes right to left) a)find the location of I1 relative to the lens and the magnification m1 of the image. what is the location relative to the mirror? b)find the location of I2 relative to the mirror and then relative to th elens c) find the location of I3 relative to the lens. how tall is the image? is it real or virtual?

2)in vacuum the wavelengths of red and blue light are 700nm and 400nm respectivley. Find the wavelength and frequency of these two waves inside a glass prism with index of refraction n=1.44(Red) and n=1.52(blue

Explanation / Answer

1. f = 10 cm

object distance, p1 = 15 cm

1/f = 1/p1 + 1/q1

1/10 = 1/15 + 1/q1

q1 = 30 cm

30 cm right to the lens.

5 cm rigt to the mirror.

m1 = - 30 / 15 = - 2

(b) for plane mirror,

p2 = -5 cm

q2 = 5 cm to the left of plane mirror.

20 cm right to the lens

m = 1

(C) p3 = 20 cm

1/10 = 1/20 + 1/q3

q3 = 20 cm

20 cm left to lens.

45 cm left to mirror.

m3 = - 20/20 = -1

m= - 1 x1 x -2 = 2

hi =2 x 2 = 4 cm

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