a concave mirror of focal length 20 cm produces an image twice the size of the object, if the image is real ,then the distance of the object from the mirror is
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We have,
Focal length, f = -20 cm
Magnification, m = -1/4 (image is real)
Let the object distance be u and image distance be v.
Now,
Magnification,m = -v/u = -1/4
=> v = u/4
Now,
1/f = 1/v + 1/u
=> -1/20 = 1/(u/4) + 1/u
=> -1/20 = 5/u
=> u = -100 cm
Thus, the object is placed 100 cm from the pole in front of the mirror.
Focal length, f = -20 cm
Magnification, m = -1/4 (image is real)
Let the object distance be u and image distance be v.
Now,
Magnification,m = -v/u = -1/4
=> v = u/4
Now,
1/f = 1/v + 1/u
=> -1/20 = 1/(u/4) + 1/u
=> -1/20 = 5/u
=> u = -100 cm
Thus, the object is placed 100 cm from the pole in front of the mirror.
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