Physics

Physics

Problem

If the focal lengths of the two lenses in a compound microscope are kept fixed, increasing the separation between them primarily results in a) a decrease in magnifying power\text{a decrease in magnifying power} b) no significant change in magnifying power\text{no significant change in magnifying power} c) an increase in magnifying power\text{an increase in magnifying power} d) a change in the least distance of distinct vision of the observer\text{a change in the least distance of distinct vision of the observer}
Intuitive explanation

The key insight is that separation between lenses controls the magnification of the system without changing individual lens power. When you move the lenses farther apart, you're effectively changing the length of the microscope tube, which stretches out the intermediate image and increases how much the eyepiece magnifies it. Think of it like adjusting the distance between two magnifying glasses—the farther apart they sit, the more the first lens's image gets enlarged before the second lens looks at it.

Intuitive explanation

The key insight is that separation between lenses controls the magnification of the system without changing individual lens power. When you move the lenses farther apart, you're effectively changing the length of the microscope tube, which stretches out the intermediate image and increases how much the eyepiece magnifies it. Think of it like adjusting the distance between two magnifying glasses—the farther apart they sit, the more the first lens's image gets enlarged before the second lens looks at it.

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