1
Question
A boy is observing his image in a plane mirror. The distance between the mirror and his image is 10 m. If he moves 2 m towards the mirror, then the distance between the boy and his image will be:
A boy is observing his image in a plane mirror. The distance between the mirror and his image is 10 m. If he moves 2 m towards the mirror, then the distance between the boy and his image will be:
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Solution
The correct option is B 16 m
Given:
Initial image distance, I1=10 m
Final object distance (O2) is 2 m less than the original object distance (O1):
O2=O1−2
For plane mirror, image distance equals object distance for any given instance.
At initial position,
O1=I1=10 m
At final position,
Object distance is:
O2=10−2=8 m
Image distance is:
I2=O2=8 m
Hence, distance between the boy and his image is:
d=O2+I2=16 m
Hence, the distance between the boy and his image becomes equal to 16 m, as is also evident from the figure below.
Given:
Initial image distance, I1=10 m
Final object distance (O2) is 2 m less than the original object distance (O1):
O2=O1−2
For plane mirror, image distance equals object distance for any given instance.
At initial position,
O1=I1=10 m
At final position,
Object distance is:
O2=10−2=8 m
Image distance is:
I2=O2=8 m
Hence, distance between the boy and his image is:
d=O2+I2=16 m
Hence, the distance between the boy and his image becomes equal to 16 m, as is also evident from the figure below.
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