The wavelength of red light is about 700 nm: λred = 700 nm. Which is larger, a grain of sand (diameter roughly 0.2 mm) or a wave of red ligh

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The wavelength of red light is about 700 nm: λred = 700 nm. Which is larger, a grain of sand (diameter roughly 0.2 mm) or a wave of red light? How many times larger?

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Dâu 4 months 2021-09-04T23:53:14+00:00 1 Answers 3 views 0

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    2021-09-04T23:54:54+00:00

    Answer:

    The grain of sand is larger by a factor of about 286.

    Explanation:

    We express both values in standard form in the SI unit of metre so that the comparison can be easily done:

    \lambda_R = 700 \text{ nm} = 700 \times 10^{-9} \text{ m} = 7\times10^{-7} \text{ m}

    Diameter of grain of sand = 0.2 \times \text{ mm} = 0.2\times10^{-3}\text{ m} = 2\times10^{-4}\text{ m}

    It is seen that the grain of sand is larger.

    The ratio of the sizes is given by

    \dfrac{2\times10^{-4} \text{ m}}{7\times10^{-7} \text{ m}}=286

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