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JIPMER 2016
Exam
JIPMER
Year
2016
Subject
Physics
Chapter
Ray Optics

JIPMER 2016 · Physics · Ray Optics

The magnification produced by a astronomical telescope for normal...

The magnification produced by a astronomical telescope for normal adjustment is 10 and the length of the telescope is 1.1 m . The magnification, when the image is formed atleast distance of distinct vision is

Options

  1. A6
  2. B18
  3. C16
  4. D14

Correct answer

D. 14

Step-by-step solution

Given, m=10m=10, length of telescope =1.1mWeknowthat,Magnification,=1.1 \mathrm{ m} We know that, Magnification,m=t0te\frac{t_0}{t_e}10=t0tef0=10fe∵fe+f0=1.1m⇒te+10te=1.1m[∵f0=10fe]⇒fe(1+10)=1.1m⇒fe=0.1m or  10cm\begin{aligned} & 10=\frac{t_0}{t_e} \\ & f_0=10 f_e \\ & \because \quad f_e+f_0=1.1 \mathrm{ m} \\ & \Rightarrow \quad t_e+10 t_e=1.1 \mathrm{ m} \\ & {\left[\because f_0=10 f_e\right]} \\ & \Rightarrow \quad f_e(1+10)=1.1 \mathrm{ m} \\ & \Rightarrow \quad f_e=0.1 \mathrm{ m} \text{\text{ or } } 10 \mathrm{ cm} \\ & \end{aligned}Magnificationleastdistanceofdistinctvision,Magnification least distance of distinct vision,\begin{aligned} M_b & =\frac{f_o}{f_e}\left(1+\frac{f_e}{D}\right) \\ & =10\left(1+\frac{10}{25}\right) \quad[\because D=25 \mathrm{ cm}] \\ & =10 \times \frac{35}{25} \\ & =14\end{aligned}$$
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