Question: In a simple harmonic motion (SHM), what is the relationship between the period and frequency?
Options:
T = f^2
T = 1/f
T = f
T = 2πf
Correct Answer: T = 1/f
Solution:
The period (T) is the reciprocal of frequency (f), given by T = 1/f.
In a simple harmonic motion (SHM), what is the relationship between the period a
Practice Questions
Q1
In a simple harmonic motion (SHM), what is the relationship between the period and frequency?
T = f^2
T = 1/f
T = f
T = 2πf
Questions & Step-by-Step Solutions
In a simple harmonic motion (SHM), what is the relationship between the period and frequency?
Step 1: Understand what period (T) means. It is the time taken for one complete cycle of motion.
Step 2: Understand what frequency (f) means. It is the number of complete cycles that occur in one second.
Step 3: Know the relationship between period and frequency. The period is how long one cycle takes, while frequency is how many cycles happen in a second.
Step 4: Learn the formula that connects them: T = 1/f. This means if you know the frequency, you can find the period by taking the reciprocal.
Step 5: If you know the period, you can find the frequency using the formula: f = 1/T.
Relationship between Period and Frequency – In simple harmonic motion, the period (T) is the time taken for one complete cycle, while frequency (f) is the number of cycles per unit time. They are inversely related, expressed as T = 1/f.
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