If the frequency of a simple harmonic motion is doubled, what happens to the tim

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Question: If the frequency of a simple harmonic motion is doubled, what happens to the time period?

Options:

Correct Answer: It halves

Solution:

The time period T is inversely proportional to the frequency f. If the frequency is doubled, the time period halves.

If the frequency of a simple harmonic motion is doubled, what happens to the time period?

If the frequency of a simple harmonic motion is doubled, what happens to the time period?

Step 1: Understand what frequency means. Frequency (f) is how many times something happens in one second.
Step 2: Know what time period means. Time period (T) is how long it takes for one complete cycle of motion.
Step 3: Remember the relationship between frequency and time period. They are related by the formula: T = 1/f.
Step 4: If the frequency is doubled, it means f becomes 2f.
Step 5: Substitute the new frequency into the formula: T = 1/(2f).
Step 6: This shows that the new time period is half of the original time period: T = T/2.
Step 7: Conclude that if the frequency is doubled, the time period is halved.

Frequency and Time Period Relationship – The time period (T) of a simple harmonic motion is inversely proportional to its frequency (f), expressed as T = 1/f.