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Q.6 - Excercises And Problems

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 415

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Short Answer

What are the (a) amplitude, (b) frequency, and (c) phase constant of the oscillation shown in

a. amplitude

b. frequency

c. phase constant

See the step by step solution

Step by Step Solution

Step 1: Given information

From the given amplitude, frequency and phase constant.

Step 2: Explanation (part a)

The amplitude is the length of the peak from the time axis. From , it is clear that the amplitude is

Step 3: Explanation (part b)

The frequency is simply the number of waves per unit time. From , in the number of waves completed is

Therefore, frequency is,

Step 4: Explanation (Part c)

Suppose the equation of the wave is,

Here, is the angular frequency of the wave, and is the phase constant.

The time period of the wave is,

Therefore, the angular frequency is,

Let's take what happens at

The equation takes the form,

Therefore, the initial phase constant or the initial phase is

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