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BITSAT 2024
Exam
BITSAT
Year
2024
Subject
Physics
Chapter
Ray Optics

BITSAT 2024 · Physics · Ray Optics

The magnifying power of a telescope is 9. When it is adjusted for...

The magnifying power of a telescope is 9. When it is adjusted for parallel rays, the distance between the objective and eyepiece is 20 cm. The ratio of focal length of objective lens to focal length of eyepiece is found to be mm, then the value of mm is

Options

  1. A8
  2. B7
  3. C9
  4. D12

Correct answer

C. 9

Step-by-step solution

Magnifying power of telescope,m = 9 ⇒f0fe=9⇒f0=9fe…(i)\begin{array}{ll} \Rightarrow & \frac{f_0}{f_e}=9\\ \Rightarrow & f_0=9 f_e \ldots(i) \end{array}Distance between objective and eyepieceisgivenaseyepiece is given asf0+fe=20…(ii)⇒9fe+fe=20 [from Eq. (i)] ⇒10fe=20⇒fe=2cm\begin{aligned}& f_0+f_e=20 \ldots(ii)\\ & \Rightarrow \quad 9 f_e+f_e=20 \\ & \text{ [from Eq. (i)] }\\ & \Rightarrow \quad 10 f_e=20 \\ & \Rightarrow \quad f_e=2 \mathrm{ cm} \end{aligned}$\begin{aligned}& \therefore \text{ From Eq. (i), } f_0=9 \times2=18 \mathrm{ cm}\\ & \therefore \quad \frac{f_0}{f_e}=\frac{18}{2}=9\end{aligned}
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