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Wave Equation of EM Waves

The length of...

Question

The length of the most effective transmitting antenna is equal to one-fourth the wavelength of the broadcast wave. If a radio station has an antenna 4.5 m long then what is the broadcast frequency of the radio station?

A

1.5 × 10^-8 HZ

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B

6.0 × 10^-8 HZ

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C

1.7 × 10⁷ HZ

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D

6.7 × 10^-7 HZ

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Solution

The correct option is C
1.7 × 10⁷ HZ

$l = \frac{λ}{4} 4 l = λ 4 l = \frac{c}{γ} γ = \frac{c}{4 l}$

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