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    The frequency of an electromagnetic (EM) wave is 6 × 101410^{14}1014​ Hz. The wavelength of the EM wave is _________, and it falls in the range _
    Question

    The frequency of an electromagnetic (EM) wave is 6 × 101410^{14}​ Hz. The wavelength of the EM wave is _________, and it falls in the range ___________.

    A.

    500 nm, visible rays

    B.

    0.5 mm, microwaves

    C.

    500 mm, infrared waves

    D.

    50 nm, UV rays

    Correct option is A

    Given:Frequency of the EM wave, f=6×1014 HzSpeed of light, c=3×108 m/sλ=cfλ=3×1086×1014=0.5×106 m=500 nm\text{Given:} \\\text{Frequency of the EM wave, } f = 6 \times 10^{14} \, \text{Hz} \\\text{Speed of light, } c = 3 \times 10^8 \, \text{m/s} \\\lambda = \frac{c}{f} \\\lambda = \frac{3 \times 10^8}{6 \times 10^{14}} = 0.5 \times 10^{-6} \, \text{m} = 500 \, \text{nm}

    A wavelength of 500 nm falls within the visible light range (approximately 400–700 nm).​​

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