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Chapter 16: Problem 2258

When the length of microscope tube increases, its magnifying power (A) decreases (B) increase (C) does not change (D) none of these

Short Answer

Expert verified
When the length of the microscope tube (L) increases, the term L/\(f_o\) in the magnifying power formula \(M = (1+\frac{L}{f_o})(\frac{25cm}{f_e})\) will also increase, assuming that the focal length of the objective lens (\(f_o\)) remains constant. As a result, the magnifying power (M) will increase. The correct answer is (B) increase.

Step by step solution

01

Understand the formula for magnifying power of a microscope

The formula for the magnifying power (M) of a microscope is given by: \(M = (1+\frac{L}{f_o})(\frac{25cm}{f_e})\) where L is the length of the microscope tube, \(f_o\) is the focal length of the objective lens, and \(f_e\) is the focal length of the eyepiece (all in centimeters).
02

Analyze the effect of a change in tube length on magnifying power

According to the formula, M is proportional to 1+L/\(f_o\). If the length L of the microscope tube increases, the term L/\(f_o\) will also increase as long as the focal length of the objective lens (\(f_o\)) remains constant. Since the rest of the formula remains constant, the overall magnifying power will increase as well.
03

Identify the correct answer

Based on our analysis in Step 2, when the length of the microscope tube increases, the magnifying power of the microscope increases as well. So, the correct answer is: (B) increase

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