Transmission of Wave
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One end of a taut string of length along the -axis is fixed at . The speed of the waves in the string is . The other end of the string is vibrating in the -direction so that stationary waves are set up in the string. The possible waveform(s) of these stationary waves is (are)
A steel wire of length weights . If it is stretched by a force of , what would be the speed of a transverse wave passing on it?
In Doppler effect change in frequency depends on
speeds of source and listener
distance between source and listener
density of air
half of distance between source and listener
- π
- 2π
- 0
- 3π
where a = 5 mm and . Sketch the shape of the string at t = 0, 1 s and 2 s. Take x = 0 in the middle of the string.
- y=0.09sin8π(t−x20)
- y=0.09sin8π(t+x20)
- y=0.06sin8π(t+x20)
- y=−0.06sin8π(t+x20)
- −2sin (πt−x+π6)
- −3sin (πt−x+π6)
- 3sin (πt−x+π6)
- 2sin (πt−x+π6)
- 7.8×10−15 N
- 9.4×10−15 N
- 12×10−15 N
- 6.6×10−15 N
- Wavelength
- Speed
- Phase
- Frequency
For this situation two statements are given below
(i)The reflected pulse will be in same orientation of incident pulse due to a phase change of π radians
(ii) During reflection the wall exert a force on string upward direction.
For the above given two statements, choose the correct option given below.
- Only (i) is true
- Only (ii) is true
- Both are true
- Both are wrong
- 40 m/s
- 80 m/s
- 20 m/s
- 10 m/s
- 0.01 mm
- 0.3 mm
- 0.02 mm
- 0.04 mm
- Ratio of amplitudes of reflected and transmitted waves, A1A2=1
- Ratio of amplitudes of reflected and transmitted waves, A1A2=3
- Ratio of velocities, v1v2=3
- Ratio of velocities, v1v2=13
[Assume, tension in both the strings is same]
- 2:3
- 3:2
- 5:9
- 9:5
- The pulse will travel with uniform speed
- The pulse will travel with increasing speed
- The pulse will travel with decreasing speed
- The pulse cannot travel through the rope
Maximum destructive inference between two waves occurs when the waves are out of the phase by
π/3 radians
Π radians
π/2radians
π/4 radians
A wave is travelling in string 1 with velocity v1. It is then both reflected and transmitted from a joint to string 2 where the velocity is v2. If Ai represents the incident amplitude, What are the reflected and transmitted amplitudes?
Ar = (v2 − v1v1 + v2)Ai and At = (2v2v1 + v2)Ai
Ar = (2v2v1 + v2)Ai and At = (v2 − v1v1 + v2)Ai
Ar = Ai2 and At = Ai2
None of these
Assertion : When a wave travels from a denser medium to rarer medium, its amplitude of oscillation increases.
Reason : In denser medium, speed of wave is less compared to that in rarer medium.
- Assertion and Reason both are true and the Reason is correct explanation of the Assertion.
- Assertion and Reason both are true, but Reason is not the correct explantion of Assertion.
- Assertion is true, but Reason is false
- Assertion is false, but Reason is true.
- Amplitude of the reflected wave is 43×10−3 m.
- Amplitude of the transmitted wave is 163×10−3 m.
- Amplitude of the reflected wave is 163×10−3 m.
- Amplitude of the transmitted wave is 43×10−3 m.
- IiIr=(aiar)2
- IiIt=(aiat)2
- IrIt=(arat)2
- All of these
(a)
(b)
(c)
(d) nothing can be said about the relation of .