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]?

Physics

ScanSolve AI Answer

Answer

D. 6\text{D. 6}

Step-by-step solution

3 steps
  1. Identify the given values and the formula for angular magnification.

    The focal length of the magnifying glass is f=5 cmf = 5 \text{ cm}.
    The least distance of distinct vision is D=25 cmD = 25 \text{ cm}.
    The formula for angular magnification (MM) when the image is formed at the least distance of distinct vision is:

    M=1+DfM = 1 + \frac{D}{f}
  2. Substitute the values into the formula and calculate the magnification.

    M=1+25 cm5 cmM = 1 + \frac{25 \text{ cm}}{5 \text{ cm}} M=1+5M = 1 + 5 M=6M = 6
  3. Compare the calculated magnification with the given options.

    The calculated angular magnification is 6. This matches option D.

    The final answer is D. 6\text{D. 6}.

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