Math Problem Statement

If frequency of a wave is 10 to the power 5 hertz what is the time period

Solution

The time period (TT) of a wave is the reciprocal of its frequency (ff). The formula for the time period is:

T=1fT = \frac{1}{f}

Given: f=105 Hzf = 10^5 \text{ Hz}

Substitute the value of ff into the formula:

T=1105 secondsT = \frac{1}{10^5} \text{ seconds}

T=105 secondsT = 10^{-5} \text{ seconds}

So, the time period of the wave is 10510^{-5} seconds.

Would you like a deeper explanation or have any further questions?

Here are some related questions to deepen your understanding:

  1. How is the frequency of a wave affected by its wavelength?
  2. What happens to the time period if the frequency is doubled?
  3. How would you convert the time period to milliseconds?
  4. What is the physical interpretation of time period in a wave?
  5. How can we measure the frequency and time period in a real-world experiment?

Tip: Remember, frequency and time period are inversely related. As one increases, the other decreases.

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Math Problem Analysis

Mathematical Concepts

Wave Frequency
Time Period
Inverse Relationship

Formulas

T = 1/f

Theorems

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Suitable Grade Level

Grades 9-12