an object is placed at 10cm in front of a concave mirror of focal length 15cm . At what distance from the mirror obtain a sharp image
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Explanation:
Solution :-. Given u = -10cm , v= ? , f = -15cm
Applying mirror's formula,1/v +1/u = 1/f
1/v + 1/-10 = 1/-15
1/v = -1/15 + 1/10
=(-2+3)/30
= 1/30
V = 30 cm.
Hence, we get enlarged image, virtual in nature having magnification 3.
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Using mirror formula, f1=v1+u1
−151=v1+−251
v1=75−5+3
v=−37.5cm
Hence, position of image at 37.5cm infront of the mirror.
Magnification(M)=hohi=u−v=−2537.5=−1.5
hi=−1.5×hO
hi=−1.5×7=−10.5cm
Hence,size of image is −10.5cm.
Nature of image is real,inverted and magnified.
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