Almorteaaronjohnidn
Answered

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what is the frequency of this unknown aircon magnetic wave with a wavelength of 10 m and travels at the speed of light c=3 ×10⁸ m/s?​

Sagot :

Aenahidn

QUESTION

What is the frequency of this unknown aircon magnetic wave with a wavelength of 10 meters and travels at the speed of light ([tex]c=3\times 10^8\ m/s[/tex])?

ANSWER

There are actually 3 formulas for us to solve for the frequency of the wave.

  1. [tex]f=\dfrac{1}{T}[/tex], where [tex]f[/tex] is the frequency and [tex]T[/tex] is the time or period of the wave measured in seconds
  2. [tex]f=\dfrac{v}{\lambda}[/tex], where [tex]f[/tex] is the frequency, [tex]v[/tex] is the velocity of the wave in meters per second, and [tex]\lambda[/tex] is the wavelength of the wave in seconds
  3. [tex]f=\dfrac{c}{\lambda}[/tex], where [tex]f[/tex] is the frequency, [tex]c[/tex] is the speed of light, and [tex]\lambda[/tex] is the wavelength of the wave in seconds

Since the givens we have are the wavelength of the wave in meters and the speed of the wavelength which is equal to the speed of light, the best formula we can use is formula #3: [tex]\bold{f=\dfrac{c}{\lambda}}[/tex] .

Here are our givens:

  • [tex]c=3\times 10^8\ m/s[/tex]
  • [tex]\lambda=10\ meters[/tex]
  • [tex]f=?[/tex]

Now, let's substitute the givens to the formula and then solve.

[Sol]

[tex]f=\dfrac{c}{\lambda}=\dfrac{3\times 10^8\ \dfrac{m}{s}}{10\ m}\\=3\times 10^7\ (1/s)\ or\ \bold{3\times 10^7\ Hz}[/tex]

Therefore, the frequency of the unknown aircon magnetic wave is [tex]\bold{3\times 10^7\ Hz}[/tex].

Frequency

The frequency of a wave is the number of waves passing through a certain point over a period of time. It is measured in 1 cycle per second or Hertz (Hz).

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