A concave mirror for face viewing has focal length of 0.4 m. The distance at which you hold the mirror from your face in order to see your image upright with a magnification of 5 is:
(A) 0.16 m (B) 1.60 m
(C) 0.24 m (D) 0.32 m
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m=f−uf
5=−40−u−40
u=−32cm
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The distance at which you should hold the mirror from your face in order to see your image upright with a magnification of 5 is:
(D) 0.32 m
This can be calculated in the following ways:
- Magnification can be represented as -
m=(f−u) / f
- As per the question, m = 5 , f = 0.4 m = 40 cm
- Now, 5 = (−40−u) / −40
u = −32cm
- Thus, the distance is 0.32 m.
- The negative sign shows that the object is in front of a concave mirror.
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