10th Class Science Human Eye and Colourful World Question Bank Human Eye and Colourful World

  • question_answer
    A person with a myopic eye cannot see objects beyond 1.4 m distinctly. The type of the corrective lens used to restore proper vision should be

    A) A concave lens of focal length - 1.4 m and power + 0.71 D.

    B) A convex lens of focal length 1.4 m and power + 0.71 D.

    C) A concave lens of focal length - 1.4 m and power - 0.71 D.

    D) A convex lens of focal length - 1.4 m and power - 0.71 D

    Correct Answer: C

    Solution :

    In normal eye, the far point is infinity. The lens used should be such that an object at infinity forms virtual image at 1.4 m. \[v=-1.4\,m,\,u=-\infty ,\,f=?\] \[\frac{1}{f}=\frac{1}{v}-\frac{1}{u}\] \[\frac{1}{f}=\frac{1}{1.4}-\frac{1}{-\infty }=-\frac{1}{1.4}\] \[\therefore \]\[f=-1.4\,m\] Power, \[P=\frac{1}{f}=\frac{1}{-1.4}=-0.71\,D\] A concave or divergent lens of focal length m and power - 0.71 D should be used to restore proper vision.


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