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A mirror positioned 10.0 cm to the right of an object forms an image (also to th

ID: 1392250 • Letter: A

Question

A mirror positioned 10.0 cm to the right of an object forms an image (also to the right of the object) with a magnification of+1.50. (a) Is the mirror concave or convex? (b) Where is the image located? (c) What is the focal length of the mirror? (d) Now suppose that the mirror is replaced by a lens, which is adjusted until an image of the same magnitude magnification as before is formed at the same location to the right of the object as before. Is it a converging or diverging lens? (e) Is it a real or virtual image? (f) How far away from the object is the lens located? (g) What is its focal length ?

Explanation / Answer

Distance of object = p = 10cm = 0.1m

Magnification = M = +1.50

a) Is the mirror concave or convex =?

Mirror is concave because magnification is positive.

b) The position of image could be determined by the foumula of magnification.

M = q / p

Distance of the image = MP = 1.50(0.1) = 0.15m

c) Focal lenth of the mirror = f = ?

1/f = 1/p + 1/q

f = pq / (p + q)

f = 0.1(0.15) /( 0.1+0.15)

f = 0.06m =6cm

d) The lense will be Convex lense...This means that lense is a converging lense.

e) The image formed will be real image

f) The object will be located at the 0.1m

g) focal lenth = f = 6cm ( as calcualated above for the mirror)

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