Physics High School

Some radio waves have a frequency of 4.8 × 10^9 Hz. Wave speed of electromagnetic waves = 3.0 × 10^8 m/s. Calculate the wavelength of the radio waves. Give your answer to 2 significant figures. Give the unit. *
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Some Radio Waves Have A Frequency Of 4.8 10^9 Hz. Wave Speed Of Electromagnetic Waves = 3.0 10^8 M/s.

Answers

Answer 1

Answer : The wavelength of the radio waves is [tex]6.2\times 10^{-2}m[/tex]

Explanation : Given,

Frequency = [tex]4.8\times 10^9 Hz[/tex]

Wave speed = [tex]3.0\times 10^8 m/s[/tex]

As we know that the speed of a wave is related to its frequency and wavelength.

Formula used:

[tex]\nu =f\times \lambda[/tex]

where,

[tex]\nu[/tex] is the wave speed in metres per second, (m/s )

f is the frequency in hertz, (Hz )

[tex]\lambda[/tex] is the wavelength in metres, (m)

Now putting all the given values in the above formula, we get:

[tex]3.0\times 10^8 m/s=(4.8\times 10^9 Hz)\times \lambda[/tex]

[tex]\lambda=6.2\times 10^{-2}m[/tex]

Therefore, the wavelength of the radio waves is [tex]6.2\times 10^{-2}m[/tex]

Answer 2

The wavelength of the radio waves is 0.063 m

Properties of waves

From the question, we are to determine the wavelength of the radio waves.

From the formula,

[tex]c = f \lambda[/tex]

Then, we can write that

[tex]\lambda = \frac{c}{f} [/tex]

Where c is the wave speed

[tex]f [/tex] is the frequency

and [tex]\lambda [/tex] is the wavelength

From the given information,

[tex]f = 4.8 \times 10^{9} \ Hz [/tex]

and [tex]c = 3.0 \times 10^{8} \ m/s[/tex]

Putting the parameters into the formula, we get

[tex]\lambda = \frac{3.0 \times 10^{8} }{4.8\times 10^{9} } [/tex]

[tex]\lambda = 0.625 \times 10^{-1} [/tex]

[tex]\lambda = 0.0625 \ m [/tex]

[tex]\lambda = 0.063 \ m [/tex] (to 2 significant figures)

Hence, the wavelength of the radio waves is 0.063 m

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