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The Vividh Bharati station of All India Radio, Kozhikode, broadcasts on a frequency of 1500 kHz. What is the wavelength of the electromagnetic radiation emitted by transmitter?( c = 3 × 108ms-1 )

  • A.200 m
  • B.300 m
  • C.100 m
  • D.250 m
  • E.150 m

Answer: A

The wavelength is 200 m.

\[ \begin{aligned} \lambda &= \frac{c}{\nu} = \frac{3 \times 10^{8}}{1500 \times 10^{3}} \\ &= \frac{3 \times 10^{8}}{1.5 \times 10^{6}} = 200\ \text{m} \end{aligned} \]

The common slip is in the prefix: kHz is \(10^{3}\) Hz. 300 m would need a frequency of 1000 kHz, and 100 m one of 3000 kHz.

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