If the frequency of a simple harmonic oscillator is halved, what happens to the
Practice Questions
Q1
If the frequency of a simple harmonic oscillator is halved, what happens to the period?
It doubles
It halves
It remains the same
It quadruples
Questions & Step-by-Step Solutions
If the frequency of a simple harmonic oscillator is halved, what happens to the period?
Step 1: Understand what frequency is. Frequency (f) is how many times something happens in one second.
Step 2: Know the relationship between period (T) and frequency (f). The period is the time it takes for one complete cycle, and it is calculated using the formula T = 1/f.
Step 3: If the frequency is halved, it means the new frequency (f') is f/2.
Step 4: Substitute the new frequency into the period formula: T' = 1/(f/2).
Step 5: Simplify the equation: T' = 1/(f/2) = 2/f = 2T (since T = 1/f).
Step 6: Conclusion: If the frequency is halved, the period doubles.
Frequency and Period Relationship – Understanding the inverse relationship between frequency and period in simple harmonic motion.
