JEE Main & Advanced Physics Ray Optics Question Bank Critical Thinking

  • question_answer
    A plane mirror is placed at the bottom of the tank containing a liquid of refractive index \[\mu \]. P is a small object at a height h above the mirror. An observer O-vertically above P outside the liquid see P and its image in the mirror. The apparent distance between these two will be 

    A)            \[2\mu h\]

    B)            \[\frac{2h}{\mu }\]

    C)            \[\frac{2h}{\mu -1}\]

    D)            \[h\,\left( 1+\frac{1}{\mu } \right)\]

    Correct Answer: B

    Solution :

                       Image formation by a mirror (either plane or spherical) does not depend on the medium. The image of P will be formed at a distance h below the mirror. If d = depth of liquid in the tank. Apparent depth of \[P={{x}_{1}}=\frac{d-h}{\mu }\] Apparent depth of the image of \[P={{x}_{2}}=\frac{d+h}{\mu }\] \ Apparent distance between P and it's image \[={{x}_{2}}-{{x}_{1}}=\frac{2h}{\mu }\]


You need to login to perform this action.
You will be redirected in 3 sec spinner