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Optics

Physics questions for NEET UG — Mechanics, Thermodynamics, Optics, Modern Physics.

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Q.1 Easy Optics
A microscope has an objective of focal length 2 cm, eyepiece of focal length 4 cm and the tube length of 40 cm. If the distance of distinct vision of eye is 25 cm, the magnification in the microscope is
A 100
B 125
C 150
D 250
Correct Answer:  B. 125
EXPLANATION

# Microscope Magnification Solution

The magnification of a microscope depends on the focal lengths of its lenses and the tube length, following the standard formula for compound microscopes.

Step 1: Identify the Magnification Formula

For a compound microscope, the total magnification is the product of objective magnification and eyepiece magnification.

\[M = m_o \times m_e = \frac{v_o}{u_o} \times \frac{D}{f_e}\]

where the tube length \(L = v_o + u_e\) (approximately), \(D\) = distance of distinct vision = 25 cm, and \(f_e\) = focal length of eyepiece.

Step 2: Use the Standard Microscope Formula

For a microscope with tube length \(L\), objective focal length \(f_o\), and eyepiece focal length \(f_e\), the magnification is:

\[M = \frac{L}{f_o} \times \frac{D}{f_e}\]

Substituting the given values: \(L = 40\) cm, \(f_o = 2\) cm, \(f_e = 4\) cm, \(D = 25\) cm:

\[M = \frac{40}{2} \times \frac{25}{4} = 20 \times 6.25 = 125\]

The magnification of the microscope is 125.

Answer: (B) 125

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