a concave lens of focal length 5 cm with the object is placed at a distance of 10 cm from the lens . find the nature, image, distance and magnification?
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Here, Image is at 10cm behind the mirror and is virtual and erect. Magnification of the lens is (-1).
Explanation:
Here, As per our given question,
=Focal length of the lens=5cm
=Distance of the object(U)=10cm
=Distance of Image from the lens(V)=?
So, By applying lens formula, we get,
=1/V-(1/-U)=1/f
=1/V=1/f+(1/U)
=1/V=1/5+(1/10)
After taking Lcm and solving it, we get,
=1/V=[2+1]/10
=1/V=1/10
On doing reciprocal on both sides, we get,
=V=10/1cm
=V=10cm
Here, As it is a Concave lens, The Image is Virtual and erect and is 10cm behind the mirror.
Now, Magnification(M)=V/U
=M=10/-10
=M=1/(-1)
=M=(-1)
So, here Magnification of the lens is (-1).
Thank you.
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