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he Vividh Bharati station of All India Radio, Delhi, broadcasts on a frequency of 1,368 kHz (kilohertz). Calculate the wavelength of the electromagnetic radiation emitted by transmitter. Whichpart of the electromagnetic spectrum does it belong to?

Question

he Vividh Bharati station of All India Radio, Delhi, broadcasts on a frequency of 1,368 kHz (kilohertz). Calculate the wavelength of the electromagnetic radiation emitted by transmitter. Whichpart of the electromagnetic spectrum does it belong to?

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Solution

To calculate the wavelength of the electromagnetic radiation emitted by the transmitter, we can use the formula for the speed of light (c), which is equal to the frequency (f) times the wavelength (λ). The formula is c = f * λ.

  1. First, we need to convert the frequency from kilohertz to hertz because the standard unit of frequency in this formula is hertz (Hz). 1 kilohertz (kHz) is equal to 1000 hertz (Hz). So, 1368 kHz is equal to 1368000 Hz.

  2. The speed of light (c) is approximately 3 * 10^8 meters per second (m/s).

  3. Now we can rearrange the formula to solve for the wavelength (λ): λ = c / f.

  4. Substituting the values we have: λ = (3 * 10^8 m/s) / 1368000 Hz = approximately 219 meters.

So, the wavelength of the electromagnetic radiation emitted by the Vividh Bharati station of All India Radio, Delhi, is approximately 219 meters.

This wavelength falls into the category of Medium Frequency (MF) band of the radio spectrum, which is typically used for AM radio broadcasting.

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