a concave lens of focal 15 cm forms an image 15 cm from the lens how far is the object placed from the lens
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Focal length of the lens(f) = -15cm
(focal length of concave lens is negative ).
Image distance(v) = -15cm
(the object is kept on the lest side of the lens).
Object distance(u) = ?
So, from the lens formula,
1/f = 1/v - 1/u.
1/-15 = 1/-15 - 1/u.
-1/15 = -1/15 - 1/u.
1/u = -1/15 +1/15.
(Transposing)
1/u = 0.
u = 1/0 .
So, here the value of u cannot be defined and hence the object is kept at infinity.
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