calculate the focal length of a magnifying glass where magnifying power is 50 the final image is formed at 25 cm from the eye.
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Given: A magnifying glass has magnifying power 50 and the final image is formed at 25 cm from the eye.
To find: The focal length of a magnifying glass.
Solution:
- The magnifying power of a magnifying glass is given by the formula,
- Here, M is the magnification of the glass, D is the least distance of distinct vision and f is the focal length of the glass.
- On replacing the terms with the values given in the question,
- On rearranging and solving further, the value of f is found to be,
Therefore, the focal length of a magnifying glass is 0.51 cm.
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