Question

1. explain how increasing the amplitude of a wave affects the energy it carries.
2. if a wave has a wavelength of 200 nm and a frequency of 5 ghz, what is its speed? show your work.

the speed of the wave is 100m/s

Explanation:

Step1: Convert units

Convert wavelength from \(200\ nm\) to \(m\): \(200\ nm = 200\times10^{-9}\ m\). Convert frequency from \(5\ GHz\) to \(Hz\): \(5\ GHz=5\times 10^{9}\ Hz\).

Step2: Use wave - speed formula

The formula for wave speed is \(v = f\lambda\), where \(v\) is speed, \(f\) is frequency, and \(\lambda\) is wavelength. Substitute \(f = 5\times 10^{9}\ Hz\) and \(\lambda=200\times 10^{-9}\ m\) into the formula: \(v=(5\times 10^{9})\times(200\times 10^{-9})\).

Step3: Calculate

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Answer:

The speed of the wave is \(1000\ m/s\).