A candle 2.5cm in size is placed in front of a concave mirror with radius of curvature 36cm. At what distance from the mirror should a screen be placed in order to obtain a sharp image?

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Solution

given h1=2.5cm
u=−27cm
R=−36cm
f=R/2=−18cm
1/u+1/v=1/f
=> 1/v=1/18+1/27
=−3+2/54
=−1/54cm
or v=−54cm
Hence the screen should be placed 54 cm from the mirror on the same side of the object.

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A candle 2.5cm in size is placed in front of a concave mirror with radius of curvature 36cm. At what distance from the mirror should a screen be placed in order to obtain a sharp image?

given h1=2.5cm u=−27cm R=−36cm f=R/2=−18cm 1/u+1/v=1/f => 1/v=1/18+1/27 =−3+2/54 =−1/54cm or v=−54cm Hence the screen should be placed 54 cm from the mirror on the same side of the object.

given h1=2.5cm
u=−27cm
R=−36cm
f=R/2=−18cm
1/u+1/v=1/f
=> 1/v=1/18+1/27
=−3+2/54
=−1/54cm
or v=−54cm
Hence the screen should be placed 54 cm from the mirror on the same side of the object.