Waves Test

Result

Waves Test - 10

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Weekly Quiz Competition

Question 1
1 / -0

A node is a point where there is always

A
Constructive interference

B
Destructive interference

C
Double trough

D
Two crests

Solution

A node is a point along the medium of no displacement. The point is not displaced because destructive interference occurs at this point.
Question 2
1 / -0

A cylindrical tube, open at both ends, has a fundamental frequency f in air. The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of the air-column is now:

A
f/2

B
f

C
2f

D
3f/2

Solution

As we know, f=v/2l
Now, it will act as one end and one end closed.
So, f₀=v/2l’=v/4½=v/2l=f
Question 3
1 / -0

Fundamental note in open pipe (v₁= ν/2L) has _________ the frequency of the fundamental note in closed organ pipe (v₂= ν/4L).

A
Twice

B
Half

C
Four times

D
Thrice

Solution

Let L be a length of the pipe,
The fundamental frequency of closed pipe is
v₂=ν/4L .....(i)
where ν is the speed of sound in air.
Fundamental frequency of open pipe of same length is
v₁=ν/2L .....(ii)
After dividing v₁ with v₂,
v₁/v₂= ν/2L/ ν/4L
v₁=2v₂
Question 4
1 / -0

Equation of longitudinal stationary waves in the pipe is

A

B

C

D
Question 5
1 / -0

In an experiment to find the speed of waves in a rope, a standing wave pattern is established as shown in diagram below. The vibrating end of rope makes 90 vibrations per minute. The speed of the waves is

A
4 m/s

B
3 m/s

C
6 m/s

D
2 m/s

Solution

If there are exactly 90 vibrations in 60.0 seconds, then there is a frequency of 1.5 Hz. The diagram shows 1.5 waves in 6.0-meters of rope; thus, the wavelength is 4.0 meters. Now use the equation v=f*w to calculate the speed of the wave. Proper substitution yields 6.0 m/s.