CBSE Class 10 Science 2023 Delhi Set 1

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Question : 31
Total: 39
The power of a lens is +4D. Find the focal length of this lens. An object is placed at a distance of 50‌cm 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 =‌
1
P
=‌
1
4
=0.25m
or 25‌cm. It is a convex lens as power and focal length are positive.
Focal length, f=+25‌cm
Object distance, u=−50‌cm
Image distance, v= ?
Image height, I= ?
Using lens formula, ‌
1
f
=‌
1
v
−‌
1
u

‌
1
25
‌
=‌
1
v
−‌
1
(−50)

‌
1
v
‌
=‌
1
25
−‌
1
50

v‌=+50‌cm
Also, magnification, m=−‌
v
u

Hence, ‌‌m=‌
(50)
−(50)
=−1

Hence, image is formed at 50‌cm 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.
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