NEET2020PhysicsOscillationsActual
Identify the function which represents a periodic motion
Options
- Ae ω t
- Blog e ( ω t )
- Csin ω t + cos ω t
- De - ω t
Correct answer
C. sin ω t + cos ω t
Step-by-step solution
The function is said to be periodic if we can write it in to form of, y = A sin ω t + ϕ . In the above options only we can write, sin ω t + cos ω t , in the form of, sin ω t cos π 4 + cos ω t sin π 4 = 1 × sin ω t + π 4 , so we can say that, sin ω t + cos ω t is a periodic function.