Question

Anyone good there at physics? Please help me with this problem​

Answer 1

3000 m

Step-by-step explanation:

Radio waves are electromagnetic waves.

All electromagnetic waves travel at the same speed through a vacuum or the air. The speed is equal to the speed of light (c):

⇒ v = c = 300,000,000 meter per second (m/s).

Wave speed equation

`v= f \lambda`

where:

• v = wave speed in meters per second (m/s)
• f = frequency in Hertz (Hz)
• λ = wavelength in meters (m)

Given:

• v = 300 000 000 m/s
• f = 100 000 Hz

Substitute the given values into the formula and solve for λ:

`\begin{aligned}v &= f \lambda\\ \implies 300\;000\;000 &= 100\;000 \lambda\\ \lambda &=(300\;000\;000)/(100\;000)\\ \lambda &=3000\; \sf m\end{aligned}`

Therefore, the wavelength of the radio waves is 3000 m.