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A candle is 49 cm in front of a convex spherical mirror of radius of curvature 7

ID: 1621139 • Letter: A

Question

A candle is 49 cm in front of a convex spherical mirror of radius of curvature 70 cm. Where is the image and what is its magnification? q = -20.4 cm, M = +0.417 An object 2 cm high is placed 10 cm in front of a mirror. What type of mirror and what radius of curvature is needed for an image that is upright and 4 cm tall? Concave R = If a man wishes to use a plane mirror on a wall to view both his head and his feet as he stands in front of the mirror, the required length of the mirror? one-half the height of man. Two convex thin lenses with focal lengths 10 and 20 cm, respectively, are aligned on a common axis, running left to right, the 10 cm lens being on the left. The lenses are separated by a distance of 20 cm. An object is located at a distance of 15 cm to the left the 10 cm lens. Where will the final image appear as measured from the 20 cm lens? An object placed 12 cm from a concave mirror produces a real image 8 cm from the mirror. If the object is now moved to a new position 18 cm from the mirror, where is new image located as measured from the mirror?

Explanation / Answer

12. for convex mirror, f = - 70 / 2 = - 35 cm

object distance, p = 49 cm

1/f = 1/p + 1/q

1/-35 = 1/49 + 1/q

q = -20.4 cm .........Ans(Image distance)

m = - q / p = - (20.4) / 49 = 0.417 ....Ans

13. image is upright and enlarged hence this is concave mirror.

m = 4/2 = 2

m = - q / p = 2

p = 10 cm

q = - 20 cm

1/f = 1/p + 1/q = 1/10 - 1/20

f = 20 cm

R = 2 f = 40 cm ....Ans