An observer with normal eyes views an object with a magnifying glass of focal length 5cm.The angular magnification is A.-6 B.-5 C.5 D.6 [least distance of distinct vision D=25cm]?
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
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Step 1: Identify the given values and the formula for angular magnification.
The focal length of the magnifying glass is $f = 5 \text{ cm}$.
The least distance of distinct vision is $D = 25 \text{ cm}$.
The formula for angular magnification ($M$) when the image is formed at the least distance of distinct vision is:
$$M = 1 + \frac{D}{f}$$
Step 2: Substitute the values into the formula and calculate the magnification.
$$M = 1 + \frac{25 \text{ cm}}{5 \text{ cm}}$$
$$M = 1 + 5$$
$$M = 6$$
Step 3: Compare the calculated magnification with the given options.
The calculated angular magnification is 6. This matches option D.
The final answer is $\boxed{\text{D. 6}}$.
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