AP Physics 2 : Representing Waves as Sine and Cosine Functions

Example Questions

Example Question #1 : Representing Waves As Sine And Cosine Functions

Which of the following electromagnetic waves has the highest frequency?

Infrared

Gamma

Visible light

Microwave

Gamma

Explanation:

The frequency of a wave is directly related to the energy in the wave. The most energetic waves in the electromagnetic spectrum are gamma rays. Gamma rays are typically released from quasars, ultra-dense dying stars, and from atomic bomb blasts, which gives you the scope of the amount of energy involved with gamma rays.

Example Question #2 : Representing Waves As Sine And Cosine Functions

For open pipes, the formula for wave patterns at any given time can be given by a Fourier Sine Series which is given as the infinite sum:

when  is an integer, and  is the length of the pipe. Each individual value of  is called a harmonic.

What is the angular frequency of the second harmonic?

Explanation:

Frequency, when given an equation in sine or cosine notation, is the value inside the parenthesis. For the second harmonic , the frequency is:

Example Question #1 : Representing Waves As Sine And Cosine Functions

Equation of sound wave 1:

Equation of sound wave 2:

Determine at what time there will be complete constructive interference between the two if: