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Question

An object M is placed at a distance of 3 m from a mirror kept at some height with its lower end at 2 m from ground as shown in the figure. There is a person at a distance of 4 m from the object. The ratio of minimum eye level and maximum eye level of the person required to see the image of the object M will be :


A
3:4
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B
1:2
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C
2:3
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D
1:3
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Solution

The correct option is B 1:2
Ray diagram of the situation based on field of view is shown below.


ΔMCP and ΔMAN both are similar triangles. So, we get,
PCPM=ANNM
Hmin10=23
Hmin=203 m
Similarly, in ΔMDP and ΔMBN
PDPM=NBNM
Hmax10=43
Hmax=403 m
Thus,
HminHmax=(203)(403)
HminHmax=12=1:2
Hence, option (b) is the correct answer.

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