A particular station of All India Radio, New Delhi, broadcasts on a frequency of 1,368 kHz (kilohertz). The wavelength of the electromagnetic radiation emitted by the transmitter is :[speed of light, c=3.0×108 ms−1]
Correct Answer :
219.3 m
Solution :
The correct option is 219.3 m.
The relationship between the speed of light (), wavelength (), and frequency () of electromagnetic radiation is given by the formula:
Rearranging the formula to solve for the wavelength ():
From the given problem, we have the following values:
Frequency, = 1,368 kHz = 1,368 × 103 Hz = 1.368 × 106 s-1
Speed of light, = 3.0 × 108 m s-1
Substituting these values into the wavelength equation:
Calculating the division:
Rounding to four significant figures gives:
Thus, the wavelength of the electromagnetic radiation emitted by the transmitter is 219.3 m.
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