Question

what is the wavelength of an electromagnetic wave that travels at 3 × 10⁸ m/s and has a frequency of 60 mhz? (1 mhz = 1,000,000 hz)
no answer can be determined from the information given.
60,000,000 hz / 300,000,000 m/s
60 mhz ` 300,000,000 m/s
300,000,000 m/s / 60,000,000 hz

Explanation:

Step1: Recall the formula for wave speed

The formula for the speed of a wave is \(v = f\lambda\), where \(v\) is the speed, \(f\) is the frequency, and \(\lambda\) is the wavelength. We need to solve for \(\lambda\), so \(\lambda=\frac{v}{f}\).

Step2: Convert the frequency to Hz

Given \(f = 60\ MHz\). Since \(1\ MHz=10^{6}\ Hz\), then \(f = 60\times10^{6}\ Hz=60000000\ Hz\). And \(v = 3\times 10^{8}\ m/s=300000000\ m/s\).

Step3: Substitute values into the formula

Substitute \(v = 300000000\ m/s\) and \(f = 60000000\ Hz\) into \(\lambda=\frac{v}{f}\), we get \(\lambda=\frac{300000000\ m/s}{60000000\ Hz}\).

Answer:

\(\frac{300,000,000\ m/s}{60,000,000\ Hz}\)