At what distance in front of a concave mirror of focal length 10cm, an object
be placed so that its real image of size five times that of the object is
obtained.
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Physics
At what distance in front of a concave mirror of focal length 1010cm, an object be placed so that its real image of size five times that of the object obtain?
October 15, 2019Adlina Monika
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f=10f=10cm.
We know that, linear
magnification
m=\displaystyle\frac{I}{O}m=OI
I=I= size of image
O=O= size of object
But, here the real image is 50 times of object.
I=50I=50
m=\displaystyle\frac{50}{0}=m=-5m=050=m=−5
By the definition of linear magnification
m=\displaystyle\frac{f-u}{f}m=ff−u
5=\displaystyle\frac{10-u}{10}5=1010−u
50=10-u50=10−u
u=40u=40
u=40u=40cm.
Object should be placed at 4040cm in front of convex mirror. Here -−ve sign represents that object is placed left side of the mirror.
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1
Answer:
at 2 cm distance from the mirror
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