Oscillations and Periodic Motion, Periodic Functions,Simple Harmonic Motion and its Equation, Kinetic and potential Energies NEET Questions

Oscillations and Periodic Motion, Periodic Functions,Simple Harmonic Motion and its Equation, Kinetic and potential Energies MCQ Questions

1.
Which of the following is the correct definition of Simple Harmonic Motion (SHM)?
A.
Motion in which restoring force is directly proportional to displacement and directed towards mean position
B.
Motion in which acceleration is proportional to velocity
C.
Uniform circular motion projected on a diameter
D.
Any periodic motion of a particle along a straight line
ANSWER :
A. Motion in which restoring force is directly proportional to displacement and directed towards mean position
2.
A particle executes SHM with displacement x(t) = A cos(ωt + φ). The angular frequency ω is related to the time period T by:
A.
ω = 2πT
B.
ω = T/2π
C.
ω = 1/T
D.
ω = 2π/T
ANSWER :
D. ω = 2π/T
3.
The displacement of a particle in SHM is given by x = A sin(ωt). What is the displacement when t = T/4?
A.
A/2
B.
A/√2
C.
0
D.
A
ANSWER :
D. A
4.
Which of the following functions represents a Simple Harmonic Motion?
A.
x = A sin(ωt + φ)
B.
x = A e^(−ωt)
C.
x = A log(ωt)
D.
x = A(ωt)²
ANSWER :
A. x = A sin(ωt + φ)
5.
In x(t) = A cos(ωt + φ), the term (ωt + φ) is called the:
A.
Angular frequency
B.
Phase of motion
C.
Amplitude
D.
Phase constant
ANSWER :
B. Phase of motion
6.
A particle performing SHM has amplitude A. The maximum displacement from the mean position is:
A.
A√2
B.
A/2
C.
A
D.
2A
ANSWER :
C. A