1
ARJUNA JEE 2023
Wave Motion DPP-03
1. If the equation of moving pulse is represented is 5. y-x graph of a travelling wave along +x direction is
1.5 shown at any instant t. (Symbols have their usual
Y=
0.3 + (2 x + 3t ) 2 meanings). Velocity of particle at
Find the amplitude of wave
(1) 0.3 unit
(2) 1.5 unit
(3) 5 unit
(4) 6 unit
2. The displacement y of a wave travelling in the x-
direction is given by
(1) x1 is downward
y = 5cos 300t − 1.5 x + metre. (2) x2 is downward
4
(3) x3 is upward
Where x is in metre and t in seconds. The speed of the (4) x4 is downward
wave motion is
(1) 200 m/s (2) 300 m/s 6. Equation of progressive wave is given by
(3) 450 m/s (4) 600 m/s
t x
y = 4sin − + , where 𝑥 and 𝑦 are in metre.
3. Which of the following is correct regarding the 5 9 6
Then,
x t
progressive wave y = 10sin 2 + , (where x is (1) 𝑣 = 5 m/s (2) λ = 18 m
8 4
(3) 𝐴 = 0.04 m (4) 𝑓 = 50 Hz
in metre and t in second)?
(1) Angular frequency is 2π and propagation
7. The equation of a wave is given by
constant is π
Y = 5 sin 10π (t – 0.01 x) along the 𝑥-axis. (All the
(2) Frequency is 4 Hz and wavelength is 8 metre
quantities are expressed in SI units). The phase
1
(3) Amplitude is 10 metre and wavelength is difference between the points separated by a distance
8
of 10 m along 𝑥-axis is
metre
1 (1) (2) π
(4) Wavelength is 8 metre and frequency is Hz 2
4
(3) 2π (4)
4
4. Equation of a wave is given by
y = 0.4 sin (314t – 3.14x),
8. The angle between wave velocity and particle
where x and y in metre and time t is in second.
velocity in a travelling wave may be
Velocity of the wave is 100 m/s along
(1) zero
(1) Positive x axis π
(2) Negative x axis (2) 2
(3) Positive y axis (3) π
(4) Negative y axis (4) All of these
ARJUNA JEE 2023
Wave Motion DPP-03
1. If the equation of moving pulse is represented is 5. y-x graph of a travelling wave along +x direction is
1.5 shown at any instant t. (Symbols have their usual
Y=
0.3 + (2 x + 3t ) 2 meanings). Velocity of particle at
Find the amplitude of wave
(1) 0.3 unit
(2) 1.5 unit
(3) 5 unit
(4) 6 unit
2. The displacement y of a wave travelling in the x-
direction is given by
(1) x1 is downward
y = 5cos 300t − 1.5 x + metre. (2) x2 is downward
4
(3) x3 is upward
Where x is in metre and t in seconds. The speed of the (4) x4 is downward
wave motion is
(1) 200 m/s (2) 300 m/s 6. Equation of progressive wave is given by
(3) 450 m/s (4) 600 m/s
t x
y = 4sin − + , where 𝑥 and 𝑦 are in metre.
3. Which of the following is correct regarding the 5 9 6
Then,
x t
progressive wave y = 10sin 2 + , (where x is (1) 𝑣 = 5 m/s (2) λ = 18 m
8 4
(3) 𝐴 = 0.04 m (4) 𝑓 = 50 Hz
in metre and t in second)?
(1) Angular frequency is 2π and propagation
7. The equation of a wave is given by
constant is π
Y = 5 sin 10π (t – 0.01 x) along the 𝑥-axis. (All the
(2) Frequency is 4 Hz and wavelength is 8 metre
quantities are expressed in SI units). The phase
1
(3) Amplitude is 10 metre and wavelength is difference between the points separated by a distance
8
of 10 m along 𝑥-axis is
metre
1 (1) (2) π
(4) Wavelength is 8 metre and frequency is Hz 2
4
(3) 2π (4)
4
4. Equation of a wave is given by
y = 0.4 sin (314t – 3.14x),
8. The angle between wave velocity and particle
where x and y in metre and time t is in second.
velocity in a travelling wave may be
Velocity of the wave is 100 m/s along
(1) zero
(1) Positive x axis π
(2) Negative x axis (2) 2
(3) Positive y axis (3) π
(4) Negative y axis (4) All of these
