At what distance should the lens be held from the figure in Exercise 9.29 in order to view the squares distinctly with the maximum possible magnifying power?
Given:
Image distance, v = −d = −25 cm
Focal length, f = 10 cm
Object distance = u
When the image is formed at the near point or at the minimum distance of distinct vision, we get the maximum possible magnification.
Applying the lens formula we have:
…(1)
Where, f0 = focal length of the objective lens
v0 = Distance of image formation
u0 = Distance of object from objective
Putting values in the equation (1) we get,
⇒
⇒ u = -50/7
⇒ u = -7.14 cm
Hence, the lens should be kept 7.14 cm away in order to view the squares distinctly.