1. What is the phase difference between two particles that are in phase?
A.
0 rad
B.
π/2 rad
C.
π rad
D.
2π rad
Correct Answer:
0 rad
Explanation:
Two oscillations in phase reach corresponding positions and directions simultaneously, so their phase difference is 0 rad.
2. The phase difference between two oscillations that are exactly opposite in phase is:
A.
0
B.
π/4
C.
π/2
D.
π
Correct Answer:
π
Explanation:
Opposite-phase oscillations differ by half a cycle, which corresponds to a phase difference of π radians.
3. A phase difference of 90° is equal to:
A.
π/4 rad
B.
π/2 rad
C.
π rad
D.
2π rad
Correct Answer:
π/2 rad
Explanation:
Since 180° equals π radians, 90° equals π/2 radians.
4. Two periodic functions are represented by y₁ = A sin(ωt) and y₂ = A sin(ωt + π/2). Their phase difference is:
A.
0
B.
π/4
C.
π/2
D.
π
Correct Answer:
π/2
Explanation:
The constant phase terms differ by π/2, so the phase difference between the functions is π/2 radians.
5. If two oscillations have the same phase at every instant, their phase difference is:
A.
π/2
B.
π
C.
2π
D.
Zero
Correct Answer:
Zero
Explanation:
When the phases of two oscillations are identical, their phase difference is zero.
6. A phase difference of 180° indicates that two oscillations are:
A.
In phase
B.
One-quarter cycle apart
C.
Opposite in phase
D.
Without a phase relationship
Correct Answer:
Opposite in phase
Explanation:
A phase difference of 180°, or π radians, represents half a cycle and means the oscillations are opposite in phase.
7. The phase difference between y₁ = sin(ωt + π/3) and y₂ = sin(ωt + π/6) is:
A.
π/6
B.
π/3
C.
π/2
D.
π
Correct Answer:
π/6
Explanation:
The phase difference is the difference between the constant phase angles: π/3 − π/6 = π/6.
8. Two points on a wave have a phase difference of 2π radians. Their phases are:
A.
Opposite
B.
The same
C.
90° apart
D.
Randomly related
Correct Answer:
The same
Explanation:
A phase difference of 2π radians corresponds to one complete cycle, so the two phases are equivalent.
9. If one oscillation reaches its maximum displacement a quarter cycle after another, their phase difference is:
A.
0
B.
π/4
C.
π/2
D.
π
Correct Answer:
π/2
Explanation:
A quarter cycle corresponds to 90°, which is equal to π/2 radians of phase difference.
10. For the functions y₁ = A cos(ωt) and y₂ = A cos(ωt + π), the phase difference is:
A.
0
B.
π/4
C.
π/2
D.
π
Correct Answer:
π
Explanation:
The phase constants differ by π, so the two cosine functions have a phase difference of π radians.
Short questions are currently unavailable for this page.