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Question : 31
Total: 39
The power of a lens is + 4 D . Find the focal length of this lens. An object is placed at a distance of 50 cm from the optical centre of this lens. State the nature and magnification of the image formed by the lens and also draw a ray diagram to justify your answer.
Solution:
Focal length =
=
= 0.25 m or 25 cm . It is a convex lens as power and focal length are positive.f = + 25 cm
Object distance,u = − 50 cm
Image distance,v = ?
Image height,I = ?
Using lens formula,
=
−
=
−
=
−
v = + 50 cm
Also, magnification,m = −
Hence,m =
= − 1
Hence, image is formed at50 cm in front of the lens. The image is of the same size as the object as magnification is 1 . The negative magnification shows that image is inverted.
Focal length,
Object distance,
Image distance,
Image height,
Using lens formula,
Also, magnification,
Hence,
Hence, image is formed at
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