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Q.

A biconvex lens of focal length 15 cm is in front of a plane mirror. The distance between the lens and the mirror is 10 cm. A small object is kept at a distance of 30 cm from the lens. The final image is

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a

Virtual and at a distance of 16 cm from the mirror

b

Real and at a distance of 16 cm from the mirror

c

Real and at a distance of 20 cm from the mirror

d

Virtual and at a distance of 20 cm from the mirror

answer is B.

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Detailed Solution

BMS_V04_C01_E01_503_S01

 First refraction through lens,

1v'-1-30=1+151v'=-130+115 v'=+30cm

This image acts as virtual object for plane mirror. Image by the mirror is formed at 20 cm before mirror.

Second refraction through lens,

1v-1+10=1+15 1v=110+115=25150  v=+6 cm

Hence, final image is real and is situated at a distance of 16 cm from the mirror.

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A biconvex lens of focal length 15 cm is in front of a plane mirror. The distance between the lens and the mirror is 10 cm. A small object is kept at a distance of 30 cm from the lens. The final image is