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Entrance Exams
# 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.
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:
Substituting the given values: \(L = 40\) cm, \(f_o = 2\) cm, \(f_e = 4\) cm, \(D = 25\) cm:
The magnification of the microscope is 125.
Answer: (B) 125