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21 December, 03:41

Number of complete 90.9 MHz radio waves over a 1.50 km distance

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  1. 21 December, 04:13
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    You could answer this right away IF you knew the length of each wave, right?

    Well, Wavelength = (speed) / (frequency).

    Speed = 3 x 10⁸ m/s (the speed of light)

    and

    Frequency = 90.9 x 10⁶ Hertz.

    So the length of each wave is 3 x 10⁸ / 90.9 x 10⁶ meters.

    To answer the question, see how many pieces you have to cut

    that 1.5 km into, in order for each piece to be 1 wavelength.

    It'll be

    (1,500 meters) divided by (3 x 10⁸ meters/sec) / (90.9 x 10⁶ Hz)

    To divide by a fraction, flip the fraction and then multiply:

    (1500 meters) times (90.9 x 10⁶ Hz) / (3 x 10⁸ meters/sec)

    = 454.5
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