Question: What is the relationship between the period and frequency of a simple harmonic oscillator?
Options:
T = f
T = 1/f
T = f^2
T = 2f
Correct Answer: T = 1/f
Solution:
The period (T) is the reciprocal of frequency (f), so T = 1/f.
What is the relationship between the period and frequency of a simple harmonic o
Practice Questions
Q1
What is the relationship between the period and frequency of a simple harmonic oscillator?
T = f
T = 1/f
T = f^2
T = 2f
Questions & Step-by-Step Solutions
What is the relationship between the period and frequency of a simple harmonic oscillator?
Correct Answer: T = 1/f
Step 1: Understand what frequency (f) means. Frequency is how many times something happens in one second.
Step 2: Understand what period (T) means. The period is the time it takes for one complete cycle of motion.
Step 3: Recognize that period and frequency are related. If something happens more times in a second (higher frequency), it takes less time for one cycle (shorter period).
Step 4: Learn the formula that connects them: T = 1/f. This means the period is equal to one divided by the frequency.
Step 5: If you know the frequency, you can find the period by using the formula. For example, if f = 2 Hz, then T = 1/2 = 0.5 seconds.
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