An object 2 cm in size is placed 30cm in front of a concave mirror of focal length 15cm. At what distance from the mirror should a screen be placed in order to obtain a sharp image? What will be the nature and the size of the image formed? Draw a ray diagram to show the formation of the image in this case.
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Concave mirror
Explanation:
Object distance (u) = -30cm
Focal length (f) = -15cm
So, we get image distance v using the mirror formula.
1/u + 1/v = 1/ f
1/v = 1/f - 1/u = 1/-15 - 1/-30 = -1/30
Therefore v = - 30cm
The screen should be placed 30cm in front of the mirror to obtain the real image.
Height of object h1= 2cm;
Magnification = -vh / u = - [-30(+2) / -30] = -2 cm
So the image formed is at the same position, real, same size, but inverted.
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