Calculating the frequency of a wave

To calculate the frequency of a wave, we can use the formula:

frequency (f) = speed of light (c) / wavelength (λ)

Plugging in the given values

In the given problem, we are given the wavelength (λ) as 10 nm (nanometers) and the speed of the wave as 10^6 m/s (meters per second). Since the speed is given in meters per second, we need to convert the wavelength from nanometers to meters.

1 nanometer = 10^-9 meters

Therefore, the wavelength in meters is:

λ = 10 nm x 10^-9 m/nm = 1 x 10^-8 m

Now, we can plug in the values into the formula:

f = c / λ
f = 10^6 m/s / 1 x 10^-8 m
f = 1 x 10^14 Hz

Therefore, the frequency of the wave is 1 x 10^14 Hz (hertz).

Explanation of frequency

Frequency is the number of waves that pass a point in one second. It is measured in hertz (Hz), which is equivalent to one wave per second. In the case of this problem, the wave has a frequency of 1 x 10^14 Hz, which means that 1 x 10^14 waves pass a point in one second.

The frequency of a wave is related to its energy and wavelength. Waves with higher frequencies have more energy and shorter wavelengths, while waves with lower frequencies have less energy and longer wavelengths.

In the electromagnetic spectrum, waves with higher frequencies are more energetic and have shorter wavelengths, while waves with lower frequencies are less energetic and have longer wavelengths. The wave in this problem falls in the X-ray region of the electromagnetic spectrum.