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AP EAMCET20225 Jul 2022Morning ShiftPhysicsRay OpticsActual

A needle is lying at the bottom of a water tank of height 12 ~cm . The apparent depth of the needle measured by a microscope is 9 ~cm . If the water is replaced by a liquid of refractive index of 1.5 of same height, the distance through which the microscope has to be moved to focus the needle again is

Options

  1. A1.2 ~cm
  2. B1.1 ~cm
  3. C1 ~cm
  4. D1.33 ~cm

Correct answer

C. 1 ~cm

Step-by-step solution

For water, real depth =12 ~cm Apparent depth =9 ~cm Since, refractive index, _w= Real depth Apparent depth _w= 12 9 when water is replaced by liquid of refractive index =1.5 , we have New apparent depth = real depth _l = 12 1.5 =8 ~cm Hence, required shifted distance =9-8=1 ~cm

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