NEET Physics Time Period & Frequency MCQ Question
Consider a periodic function expressed as a superposition of sine and cosine functions with different time periods. If you have a function f(t) = sin(ωt) + cos(2ωt) + sin(4ωt), which of the following correctly describes its periodic nature?
The function is non-periodic due to different angular frequencies.
The function is periodic with a period of 2π/ω.
The function is periodic with a period of 2π.
The function is periodic with a period of π/ω.
Correct Answer
Detailed Explanation
According to the context, a function like sin(ωt) + cos(2ωt) + sin(4ωt) is periodic and the period is determined by the largest common multiple of the individual periods, which is 2π/ω.
Found an issue with this question?
Related Questions
More from Time Period & Frequency
More from
Assertion (A): The acceleration in simple harmonic motion is always directed towards the mean position. | Reason (R): In simple harmonic motion, accel...
Consider a block attached to a spring on a frictionless surface, as described in the context. If the displacement of the block from the wall is given ...
What is the relationship between the driving frequency and the amplitude of an oscillator in Simple Harmonic Motion?