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24 December, 10:04

Two microwave frequencies are authorized for use in microwave ovens, 890 and 2500 MHz. Calculate the wavelength (in cm) of each.

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  1. 24 December, 12:08
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    34 cm and 12 cm

    Explanation:

    Wavelength: This can be defined as the distance in meter required to complete one circle.

    The formula for the wavelength of a wave is given as,

    λ = v/f ... Equation 1

    Where λ = wavelength, v = velocity of a microwave, f = frequency.

    For The first micro wave,

    λ = v/f

    Given: f = 890 MHz = 890000000 Hz = 8.9*10⁸ Hz

    Constant: Note: All electromagnetic wave moves with same speed v = 3*10⁸ m/s.

    Substitute into equation 1

    λ = 3*10⁸/8.9*10⁸

    λ = 0.34 m.

    λ = 34 cm

    For the second micro wave,

    λ = v/f ... Equation 1

    given: f = 2500*10⁶ Hz = 2.5*10⁹ Hz, v = 3*10⁸ m/s.

    Also substitute into equation 1

    λ = 3*10⁸ / (2.5*10⁹)

    λ = 1.2*10⁻¹ m

    λ = 12 cm.
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