a convex mirror of focal length 2 metre is used as a rear view mirror in a car. If a bike is present at 15 metre from the mirror, then find the position and size of the image of bike.
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Explanation:
Focal length, f=20cm
Object distance, u=6m=600cm
Image distance, v=?
from mirror formula 1/f= 1/v + 1 /u
1 /20 = 1/v−1/ 600
⇒ v=20 + 600= 20+600
620 =v
600/31
v= 600 /31
=19.35cm
Hence, the position of second car as seen in the mirror of first car is 19.35cm back of the mirror
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