A candle is placed 15.0cm in front of a convex mirror. When the convex mirror is

Question

A candle is placed 15.0cm in front of a convex mirror. When the convex mirror is replaced with a plane mirror, the image moves 7.0cm farther away from the mirror. Find the focal length of the convex mirror. In order to get full credit, you have to draw full ray diagrams.
A candle is placed 15.0cm in front of a convex mirror. When the convex mirror is replaced with a plane mirror, the image moves 7.0cm farther away from the mirror. Find the focal length of the convex mirror. In order to get full credit, you have to draw full ray diagrams.
A candle is placed 15.0cm in front of a convex mirror. When the convex mirror is replaced with a plane mirror, the image moves 7.0cm farther away from the mirror. Find the focal length of the convex mirror. In order to get full credit, you have to draw full ray diagrams.

Explanation / Answer

Ans:-

we know that for plane mirror, object distance = image distance
therefore, image distance = 15 cm
the question says the image moved 7cm away
therefore image distance for the convex mirror = 15 - 7 = 8cm
1/focal length = 1/object dist. + 1/image distance
therefore focal length = 120/23 cm = 5.2173cm

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