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An object placed at a distance of 16 cm from a convex lens produces an image of magnification m (m > 1). If the object is moved towards the lens by 8 cm then again an image of magnification m is obtained. The numerical value of the focal length of the lens is
  • a)
    12 cm
  • b)
    14 cm
  • c)
    18 cm
  • d)
    20 cm
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
An object placed at a distance of 16 cm from a convex lens produces an...
m = f/f+u
As magnification can be same for two diffeent values of u only if they are of opposite sign.
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Most Upvoted Answer
An object placed at a distance of 16 cm from a convex lens produces an...
The magnification of an image formed by a convex lens is given by the formula:

m = -v/u

where m is the magnification, v is the image distance, and u is the object distance.

In this case, the object distance is given as 16 cm, so u = 16 cm.

Let's assume that the image distance is v cm.

Given that the magnification is m, we can write the equation as:

m = -v/16

Rearranging the equation, we get:

v = -16m

So the image distance is given by -16m.

Therefore, the image distance is -16m cm.
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An object placed at a distance of 16 cm from a convex lens produces an image of magnification m (m > 1). If the object is moved towards the lens by 8 cm then again an image of magnification m is obtained. The numerical value of the focal length of the lens isa)12 cmb)14 cmc)18 cmd)20 cmCorrect answer is option 'A'. Can you explain this answer?
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