Question Details

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]

Options

A

219.3 m

B

219.2 m

C

2192 m

D

21.92 cm

Correct Answer :

219.3 m

Solution :

The correct option is 219.3 m.

The relationship between the speed of light (c), wavelength (λ), and frequency (ν) of electromagnetic radiation is given by the formula:
c = λ × ν
Rearranging the formula to solve for the wavelength (λ):
λ = c ν

From the given problem, we have the following values:
Frequency, ν = 1,368 kHz = 1,368 × 103 Hz = 1.368 × 106 s-1
Speed of light, c = 3.0 × 108 m s-1

Substituting these values into the wavelength equation:
�� = 3.0 × 10 8 m s - 1 1.368 × 10 6 s - 1
Calculating the division:
λ 219.298 m
Rounding to four significant figures gives:
λ 219.3 m

Thus, the wavelength of the electromagnetic radiation emitted by the transmitter is 219.3 m.

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