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AIIMS 201827 May
Exam
AIIMS
Year
2018
Date
27 May
Subject
Physics
Chapter
Ray Optics

AIIMS 2018 · 27 May · Physics · Ray Optics

If focal length of human eye is 2 ~cm , then find the focal length...

If focal length of human eye is 2 cm2 \mathrm{~cm}, then find the focal length of contact lens, such that a combined focus system of focal length 2.5 cm2.5 \mathrm{~cm} is obtained after using contact lens.

Options

  1. A−1 cm-1 \mathrm{~cm}
  2. B−5 cm-5 \mathrm{~cm}
  3. C−10 cm-10 \mathrm{~cm}
  4. D−20 cm-20 \mathrm{~cm}

Correct answer

C. −10 cm-10 \mathrm{~cm}

Step-by-step solution

():Pnet =Peye +Plens 1fnet =1feye +1flens 12.5=12+1flens  or flens =−10cm\begin{aligned} & (\mathbf{}): P_{\text{net }}=P_{\text{eye }}+P_{\text{lens }} \\ & \frac{1}{f_{\text{net }}}=\frac{1}{f_{\text{eye }}}+\frac{1}{f_{\text{lens }}} \\ & \frac{1}{2.5}=\frac{1}{2}+\frac{1}{f_{\text{lens }}} \text{ or } f_{\text{lens }}=-10 \mathrm{ cm}\end{aligned}
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