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Give at least one example of each of the following:
(a) longitudinal standing wave.
(b) transverse standing wave.

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(a)sound wave resonating in an organ pipe

(b)vibrating string on a violin

A uniform rope hangs from a ceiling. Without tugging on the rope, you give the bottom of the rope a wiggle and a wave travels upward along the rope. What can you say about the speed of the wave as the wave travels up the rope?

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The speed increases because the tension is increasing.

Write an expression for a harmonic wave that has an amplitude of 18 cm, a wavelength of 2.0 m, and propagates to the left at 15 m/s.

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y(x,t)= (18 cm)cos[(3.1 )x + (47 )t] or

y(x,t)= (18 cm)cos[((2π/2.0) )x + ((2π × 7.5) )t]

In western movies you often see a person putting his ear against the rails in the train tracks to find out if a train is approaching. Why would this give him advance knowledge of the approach of a train?

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A wave pulse traveling to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

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Two strings are made of the same material. String 1 has radius r

_{1}while string 2 has radius r_{2}= r_{1}/2. When stretched by the same tension, the respective speed of propagation of waves v_{1}and v_{2}satisfy the condition Multiple Choice

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Four waves are described by the following expressions, where distances are measured in meters and times in seconds. I y = 0.12 cos(3x - 21t)
II y = 0.15 sin(6x + 42t)
III y = 0.13 cos(6x + 21t)
IV y = -0.23 sin(3x - 42t)
Which of these waves travel in the +x direction?

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Four waves are described by the following expressions, where distances are measured in meters and times in seconds. I y = 0.12 cos(3x - 21t)
II y = 0.15 sin(6x + 42t)
III y = 0.13 cos(6x + 21t)
IV y = -0.23 sin(3x - 42t)
Which of these waves have the same speed?

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Four waves are described by the following expressions, where distances are measured in meters and times in seconds. I y = 0.12 cos(3x - 21t)
II y = 0.15 sin(6x + 42t)
III y = 0.13 cos(6x + 21t)
IV y = -0.23 sin(3x - 42t)
Which of these waves have the same period?

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As the temperature of the air increases, what happens to the velocity of sound? (Assume that all other factors remain constant.)

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Seven seconds after a brilliant flash of lightning, thunder shakes the house. How far was the lightning strike from the house?

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