NEETPhysicsOscillations
Which of the following functions represents a periodic motion with a time period of T = ?
Options
- A( t) + ( t)
- B( t 2 )
- Ce^ -2 t
- D(2 t) + (2 t)
Correct answer
D. (2 t) + (2 t)
Step-by-step solution
A function represents periodic motion if it repeats its value after a regular interval of time, called the time period T . For a trigonometric function representing simple harmonic motion with angular frequency ' , the time period is given by T = 2 ' . Let us evaluate the time period for each option: Option 1: f(t) = ( t) + ( t) = 2 ( t + 4 ) . The angular frequency is , so the time period is T = 2 . Option 2: f(t) = ( t 2 ) . The angular frequency is 2 , so the time period is T = 2 /2 = 4 . Option 3: f(t) = e^ -2