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NEET PHYSICSRAY OPTICS AND OPTICAL INSTRUMENTSMedium

Question

If the focal length of the objective lens is increased, then magnifying power of :

A

microscope will increase but that of telescope decrease

B

microscope and telescope both will increase

C

microscope and telescope both will decrease

D

microscope will decrease but that of telescope will increase

Step-by-Step Solution

  1. Microscope: The magnifying power (MmM_m) of a compound microscope is approximately given by M_m pprox \frac{L}{f_o} \times \frac{D}{f_e}, where LL is the tube length, fof_o is the focal length of the objective, and fef_e is the focal length of the eyepiece. From the formula, Mm1foM_m \propto \frac{1}{f_o}. Therefore, if the focal length of the objective (fof_o) is increased, the magnifying power of the microscope decreases.
  2. Telescope: The magnifying power (MtM_t) of an astronomical telescope in normal adjustment is given by Mt=fofeM_t = \frac{f_o}{f_e}. From the formula, MtfoM_t \propto f_o. Therefore, if the focal length of the objective (fof_o) is increased, the magnifying power of the telescope increases.
  3. Conclusion: Increasing fof_o decreases the magnification of the microscope but increases the magnification of the telescope.

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from RAY OPTICS AND OPTICAL INSTRUMENTS. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSRAY OPTICS AND OPTICAL INSTRUMENTSlengthobjectiveincreasedmagnifying

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