Displacement Relation for a Progressive Wave NEET Questions

Physics - Oscillations and Waves

Displacement Relation for a Progressive Wave MCQ Questions


13.
The phase difference between two particles in a progressive wave separated by a distance Δx is:
A.
Δφ = (2π/λ) × Δx = k × Δx
B.
Δφ = (π/λ) × Δx
C.
Δφ = (λ/2π) × Δx
D.
Δφ = 2π × Δx
😑 View Answer Rough Work Error
ANSWER :
A. Δφ = (2π/λ) × Δx = k × Δx
14.
The ANGULAR FREQUENCY (ω) in the wave equation y = A sin(kx − ωt) is related to the frequency (f) and time period (T) by:
A.
ω = 2πf = 2π/T (units: rad/s)
B.
ω = πf
C.
ω = T/2π
D.
ω = f/2π
😑 View Answer Rough Work Error
ANSWER :
A. ω = 2πf = 2π/T (units: rad/s)
15.
The TIME PERIOD (T) of a wave is defined as:
A.
The time taken for the wave to travel from source to observer
B.
The maximum speed of a vibrating particle
C.
The distance between two consecutive crests
D.
The time taken for one complete oscillation of a particle in the wave (or the time for the wave to travel one wavelength)
😑 View Answer Rough Work Error
ANSWER :
D. The time taken for one complete oscillation of a particle in the wave (or the time for the wave to travel one wavelength)
16.
The wave equation of a progressive wave is y = 3 sin(2πx − 6πt) m. The frequency of the wave is:
A.
6π Hz
B.
3 Hz (ω = 6π rad/s; f = ω/2π = 6π/2π = 3 Hz)
C.
6 Hz
D.
π/3 Hz
😑 View Answer Rough Work Error
ANSWER :
B. 3 Hz (ω = 6π rad/s; f = ω/2π = 6π/2π = 3 Hz)
17.
If a wave has frequency 50 Hz and wavelength 2 m, the wave equation for a wave moving in positive x-direction with zero initial phase and amplitude 4 m is:
A.
y = 4 sin(πx + 100πt) m
B.
y = 4 cos(πx − 100πt) m
C.
y = 4 sin(2πx − 50t) m
D.
y = 4 sin(πx − 100πt) m
😑 View Answer Rough Work Error
ANSWER :
D. y = 4 sin(πx − 100πt) m
18.
The SPEED (v) of a progressive wave is related to its frequency (f) and wavelength (λ) by:
A.
v = f/λ
B.
v = fλ (also written as v = ω/k = λ/T)
C.
v = f²λ²
D.
v = λ/f
😑 View Answer Rough Work Error
ANSWER :
B. v = fλ (also written as v = ω/k = λ/T)