Moderate

A luminous object is placed at a distance of 30cm from the convex lens of focal length 20cm. On the other side of the lens, at what distance from the lens, a convex mirror of radius of curvature 10cm must be placed to have an upright image of the object coinciding with it:

Correct answer: C. 50cm

  • A. 12cm
  • B. 30cm
  • C. 50cm
  • D. 60cm

Explanation

For the image of the object to coincide with it, the image formed by the convex lens must be located at the center of curvature of the convex mirror. Using the lens formula, the image distance from the lens is calculated. Then, using the mirror formula, the required distance of the mirror is determined to be 50cm, as the correct answer. Option A and B are incorrect as they do not consider the proper alignment of the lens and mirror. Option D is also incorrect as it does not follow the correct optical principles for this scenario.

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About Optics

Light is studied through reflection, refraction, dispersion, interference, diffraction and polarization, linking ray behavior with its wave nature. Questions may involve mirrors, lenses, optical instruments, refractive index and image formation, while geometrical optics deals with rays and wave optics explains effects such as interference and diffraction.

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