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

Physics - Oscillations and Waves

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


7.
The phase constant φ in x(t) = A cos(ωt + φ) represents:
A.
The maximum displacement
B.
The value of phase at t = 0
C.
The time period
D.
The angular frequency
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ANSWER :
B. The value of phase at t = 0
8.
Two SHMs have the same angular frequency and amplitude but different phase constants φ₁ and φ₂. They differ in:
A.
Initial state of motion at t = 0
B.
Energy of oscillation
C.
Maximum displacement
D.
Time period
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ANSWER :
A. Initial state of motion at t = 0
9.
For a particle executing SHM with x(t) = A cos(ωt + φ), the velocity v(t) is:
A.
v(t) = −ω²A cos(ωt + φ)
B.
v(t) = ω²A sin(ωt + φ)
C.
v(t) = ωA cos(ωt + φ)
D.
v(t) = −ωA sin(ωt + φ)
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ANSWER :
D. v(t) = −ωA sin(ωt + φ)
10.
The acceleration of a particle in SHM is given by a(t) = −ω²x(t). This shows that acceleration is:
A.
Maximum at mean position and zero at extreme positions
B.
Always directed away from mean position
C.
Always directed towards the mean position and proportional to displacement
D.
Constant throughout the motion
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ANSWER :
C. Always directed towards the mean position and proportional to displacement
11.
In SHM x(t) = A cos ωt (φ = 0), the velocity is maximum at:
A.
Mean position (x = 0)
B.
x = A/√2
C.
Extreme position (x = ±A)
D.
x = A/2
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ANSWER :
A. Mean position (x = 0)
12.
A body oscillates in SHM with equation x = 5 cos(2πt + π/4) m. Its maximum speed is:
A.
5π m/s
B.
10π m/s
C.
2.5π m/s
D.
20π m/s
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ANSWER :
B. 10π m/s