If a magnifying glass has a power of 10.0 D, what is the magnification it produces when held 6.55 cm from an object?

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If a magnifying glass has a power of 10.0 D, what is the magnification it produces when held 6.55 cm from an object?

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Amity 3 days 2021-07-19T06:46:15+00:00 1 Answers 1 views 0

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    2021-07-19T06:48:11+00:00

    Answer: The magnification of the magnifying glass is -2.9

    Explanation:

    The equation for power is given as:

    P=\frac{1}{f}

    where,

    P = Power = 10 D

    f = focal length

    Putting values in above equation, we get:

    f=\frac{1}{10}=0.1m=10 cm            (Conversion factor: 1 m = 100 cm)

    The equation for lens formula follows:

    \frac{1}{f}=\frac{1}{v}+\frac{1}{u}

    where,

    v = image distance

    u = Object distance = 6.55 cm

    Putting values in above equation, we get:

    \frac{1}{v}=\frac{1}{10}-\frac{1}{(6.55)}\\\\\frac{1}{v}=\frac{6.55-10}{10\times 6.55}\\\\v=\frac{65.5}{-3.45}=-18.98cm

    Magnification (m) can be written as:

    m=\frac{-v}{u}

    Putting values in above equation, we get:

    m=\frac{-18.98}{6.55}\\\\m=-2.9

    Hence, the magnification of the magnifying glass is -2.9

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