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Physics · JEE | Ray Optics and Optical Instruments

हिन्दी

Based on the ray diagram of a compound microscope shown in the text, what is the expression for the linear magnification \( m_o \) due to the objective lens in terms of image size \( h' \), object size \( h \), tube length \( L \), and objective focal length \( f_o \)?

Question diagram
  1. A
    \( m_o = \frac{h'}{h} = 1 + \frac{D}{f_e} \)
  2. B
    \( m_o = \frac{h'}{h} = \frac{f_o}{L} \)
  3. C
    \( m_o = \frac{h'}{h} = \frac{D}{f_e} \)
  4. D
    \( m_o = \frac{h'}{h} = \frac{L}{f_o} \)
View Answer & Solution

Correct answer · Option D

\( m_o = \frac{h'}{h} = \frac{L}{f_o} \)

Explanation

From Eq. (9.43), the linear magnification due to the objective of a compound microscope is \( m_o = \frac{h'}{h} = \frac{L}{f_o} \).
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