QQuestionPhysics
QuestionPhysics
"How are period and frequency related to each other? What are the units associated with each of these quantities?
A. They are inversely proportional; period is in seconds, frequency is in hertz.
B. They are directly proportional; period is in hertz, frequency is in seconds.
C. They are inversely proportional; period is in hertz, frequency is in seconds.
D. They are directly proportional; period is in seconds, frequency is in hertz."
11 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:Let's solve this step by step:
Step 2:: Understanding Period and Frequency
f = \frac{1}{T}
- Period (T) is the time it takes to complete one full cycle of a periodic motion or wave - Frequency (f) is the number of cycles completed per unit time - These quantities are mathematically related by the fundamental equation:
Step 3:: Analyzing the Relationship
- This equation shows that period and frequency are inversely proportional - When period increases, frequency decreases - When period decreases, frequency increases
Step 4:: Examining the Units
- Period (T) is measured in seconds (s) - Frequency (f) is measured in hertz (Hz), which is cycles per second (1 /s)
Step 5:: Checking the Options
- Option A states: "They are inversely proportional; period is in seconds, frequency is in hertz" - This matches our analysis exactly
Final Answer
Period and frequency are inversely proportional, with period measured in seconds and frequency measured in hertz. Key Insight: f = \frac{1}{T} demonstrates the inverse relationship between frequency and period.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students