A concave mirror has a radius of curvature of 5.5 cm. (a) Determine the object p

Question

A concave mirror has a radius of curvature of 5.5 cm.

(a) Determine the object position for which the resulting image is upright and four times the size of the object.

Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. cm

(b) Draw a ray diagram to determine the position of the image. (Use a negative number if the image is behind the mirror.)
-----cm from the mirror.

A person walks into a room that has, on opposite walls, two plane mirrors producing multiple images. Find the distances from the person to the first three images seen in the left-hand mirror, when the person is 13.0 ft from the mirror on the left wall and 8.00 ft from the mirror on the right wall.

Your response differs from the correct answer by more than 10%. Double check your calculations. ft

Explanation / Answer

R = 5.5 cm

So, f = 5.5 /2 = 2.75 cm

We know, image height, -v/u = 4

So, v = -4u

So, using the relation,

1/u + 1/v = 1/f

So, 1/u + 1/(-4u) = 1/2.75

So, u = 2.063 cm <------answer

2)

first image = 13*2 = 26 ft

second image = 34+21+13= 68 ft

third image = 110 ft

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