Question #201018

You wish to create a real image with a magnification of −16 (that is an inverted image).

If you have a lens with a focal length of 15 cm, how far away should you place the object? (to 2 s.f and in cm)


1
Expert's answer
2021-05-31T17:07:37-0400

Answer:-

magnification = -16

focal length = 15cm

m=vum=\frac{v}{u}

16=vuv=16u-16=\frac{v}{u}\\ v=-16u

According to lens formula

1v1u=1f\frac{1}{v}-\frac{1}{u}=\frac{1}{f}

116u1u=1f11616u=115\frac{1}{-16u}-\frac{1}{u}=\frac{1}{f}\\ \frac{-1-16}{16u}=\frac{1}{15}

u=16 cmu=-16 \ cm

hence object distance is , u= 16 cm

[negative sign indicates that object is in-front of the lens ]


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