p35_008

# p35_008 - 8. We apply the law of refraction, assuming all...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 8. We apply the law of refraction, assuming all angles are in radians: sin sin = n w n air , which in our case reduces to /n w (since both and are small, and n air 1). We refer to our figure, below. The object O is a vertical distance h 1 above the water, and the water surface is a vertical distance h 2 above the mirror. We are looking for a distance d (treated as a positive number) below the mirror where the image I of the object is formed. In the triangle OAB | AB | = h 1 tan h 1 , and in the triangle CBD | BC | = 2 h 2 tan 2 h 2 2 h 2 n w . Finally, in the triangle ACI, we have | AI | = d + h 2 . Therefore, d = | AI | h 2 = | AC | tan h 2 | AB | + | BC | h 2 = h 1 + 2 h 2 n w 1 h 2 = h 1 + 2 h 2 n w h 2 = 250 cm + 2(200 cm) 1 . 33 200 cm = 351 cm . .....................................................................................................................................................................................................
View Full Document

Ask a homework question - tutors are online