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NEET 2026
Exam
NEET
Year
2026
Subject
Physics
Chapter
Chapter

NEET 2026 · Physics · Chapter

A researcher is adjusting a compound microscope to view a bacterial...

A researcher is adjusting a compound microscope to view a bacterial sample. The microscope has an objective lens of focal length 1.5 cm1.5\text{ cm} and an eyepiece of focal length 5.0 cm5.0\text{ cm}. If the researcher wants to achieve a total magnifying power of 200200 for a relaxed eye (normal adjustment), what must be the tube length of the microscope?

(Take the least distance of distinct vision as 25 cm25\text{ cm})

Options

  1. A40 cm40\text{ cm}
  2. B50 cm50\text{ cm}
  3. C60 cm60\text{ cm}
  4. D75 cm75\text{ cm}

Correct answer

C. 60 cm60\text{ cm}

Step-by-step solution

The magnifying power of a compound microscope in normal adjustment (relaxed eye) is given by:

M=Lfo×DfeM = \dfrac{L}{f_o} \times \dfrac{D}{f_e}

where LL is the tube length, fof_o is the focal length of the objective, fef_e is the focal length of the eyepiece, and DD is the least distance of distinct vision.

Substituting the given values:

200=L1.5×255.0200 = \dfrac{L}{1.5} \times \dfrac{25}{5.0}

200=L1.5×5200 = \dfrac{L}{1.5} \times 5

L=200×1.55L = \dfrac{200 \times 1.5}{5}

L=40×1.5=60 cmL = 40 \times 1.5 = 60\text{ cm}

Answer: 60 cm60\text{ cm}
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