What is the magnifying power of a simple microscope if the image is formed at least the distance of distinct vision from the eye (D)? (A) D/f B 1+D/f C 1+f/D D 1-D/f
Question
What is the magnifying power of a simple microscope if the image is formed at least the distance of distinct vision from the eye (D)?
(A) $\frac{D}{f}$ B $1+\frac{D}{f}$ C $1+\frac{f}{D}$ D $1-\frac{D}{f}$
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Answer
Correct option: B $1+\frac{D}{f}$
When the image formed by a simple microscope is at least the distance of distinct vision from the eye (D), this refers to the near point condition. In this scenario, the formula for the magnifying power of the microscope is given by:
$$ m = 1 + \frac{D}{f} $$
where
- $m$ represents the magnifying power,
- $D$ is the least distance of distinct vision,
- $f$ is the focal length of the microscope's lens.
Thus, the magnifying power of the simple microscope in this case is $1 + \frac{D}{f}$.
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