An object of 3 cm size is placed at a distance of 20cm in front of a concave mirror of focal length of 15 cm. At what distance from the mirror a screen is to be placed to obtain a sharp image?
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Answered by
6
★ Answer:-
Ho = 3cm
U = -20 [sign convention]
F = -12. [sign convention]
V=?
Using Mirror formula,
1/f = 1/U+1/V
1/V=1/U-1/F
1/V=1/(-20)-1/(-12)
1/V = 1/(-20)+1/12
1/V = 1/20-1/12
1/V = 3-5/60
1/V=-2/60= -1/30
V = -30
We know that,
M = -V/U= Hi/Ho. [where Hi is height of
Image and Ho is height of object]
-V/U = Hi/Ho
-(-30)/(-20) = Hi/3
30/-20 = Hi/3 -20 Hi=30x3
Hi = 90/-20
Hi = 4.5
M is negative, So image is Inverted and
real.
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5
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