QQuestionPhysics
QuestionPhysics
What is the relationship between period and frequency?
Explain and write the equations to support your answer.
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Answer
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Step 1:I'll solve this problem following the specified LaTeX and formatting guidelines:
Step 2:: Define Frequency and Period
Frequency ($$f$$) is the number of complete cycles or oscillations that occur in one second, measured in Hertz (Hz).
Period (T) is the time required to complete one full cycle.
Step 3:: Establish the Mathematical Relationship
T = \frac{1}{f}
The fundamental relationship between frequency and period is an inverse proportionality: or alternatively:
Step 4:: Explain the Relationship
- When frequency increases, the period decreases - When frequency decreases, the period increases - They are reciprocals of each other
Step 5:: Practical Example
Verification: $$\frac{1}{f} = T$$ and $$\frac{1}{T} = f
Consider a wave with:
Final Answer
Frequency and period are inversely related, mathematically expressed as f = \frac{1}{T}, where f is frequency in Hertz and T is period in seconds.
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