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in Optics by (25 points)
6. An object is placed 20 cm in front of a concave mirror of radius of curvature 10 cm . Position of the image from pole of the mirror is: (1) 7.67 cm (2) 6.67 cm (3) 8.67 cm (4) 9.67 cm

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1 Answer

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by (285 points)

correct answer is (2) 6.67 cm 

\({1\over v} + {1\over u}={1\over f} \)

as radius of curvature is 10cm, focal length = \(f= \frac{R}{2}\)

thus, \(f=5 cm\)

u=-20cm.

thus \({1\over v}+{1\over -20}={1\over -5}\)

\({1\over v}=-\frac{3}{20}\)

v=-6.67cm

v= 6.67cm from pole

hence answer is (2) 6.67cm

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