Optics 3 Question 7
7. An object is at a distance of from a convex lens of focal length . The lens forms an image of the object. If the object moves away from the lens at a speed of , the speed and direction of the image will be
(2019 Main, 11 Jan I)
(a)
(b)
(c)
(d)
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Answer:
Correct Answer: 7. (d)
Solution:
- Lens formula is given as
Now, by differentiating Eq. (i), we get
[using Eq. (ii)]
Given,
Thus, the image is moved with a speed of