(a) A security mirror used in a big showroom has radius of curvature 5 m. If a customer is standing at a distance of 20 m from the cash counter, find the position, nature and size of the image formed in the security mirror.
B) Neha visited a dentist in his clinic. She observed that the dentist was holding an instrument fitted with a mirror. State the nature of this mirror and reason for its use in the instrument used by dentist
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Answer:
A) V=20/9 = 2.2m
Nature-virtual and erect
Size- Smaller than object size.
B) Concave mirror
Explanation:
A) mirror must be convex as would like to get erect image even at far distance for mirror so it can only be done by the convex mirror.
Given:-
R= 5m
f= 5/2m
u= -20m
So by using mirror formula,
1/f = 1/v + 1/u
1/v = 1/f - 1/u
1/v = 2/5 - (-1/20)
1/v = 20/9 = 2.2m
B) concave mirror because
I) it produces real image.
II) it produces enlarged image.
Hope you understood.
Thank you.
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