1.A wave of amplitude 0.36 m interferes with a second wave of amplitude 0.21 m traveling...

1.A wave of amplitude 0.36 m interferes with a second wave of amplitude 0.21 m traveling in the same direction.

(a) What is the largest resultant amplitude that can occur, and under what conditions will this maximum arise?
?m

The two waves interfere destructively. The two waves interfere constructively.

(b) What is the smallest resultant amplitude that can occur, and under what conditions will this minimum arise?
?m

The two waves interfere destructively.The two waves interfere constructively.

2.On a hot summer day, the temperature of air in Arizona reaches 102°F. What is the speed of sound in air at this temperature? (The speed of sound at 0°C is 331 m/s. Use the conversion 0°C = 273 K as necessary.)
m/s

3.A hammer strikes one end of a thick aluminum rail of length 6.58 m. A microphone located at the opposite end of the rail detects two pulses of sound, one that travels through the air and a longitudinal wave that travels through the rail. (The speed of sound in air is 343 m/s.)

(a) Which pulse reaches the microphone first?

the pulse traveling through the aluminum railthe pulse traveling through the air

(b) Find the separation in time between the arrivals of the two pulses.
?ms

4. A stretched string of length L is observed to vibrate in six equal segments when driven by a 613-Hz oscillator. What oscillator frequency will set up a standing wave so that the string vibrates in five segments?
Hz

5.The area of a typical eardrum is about 5.0 10^-5 m².

(a) Calculate the sound power (the energy per second) incident on an eardrum at the threshold of hearing.
?W

(b) Calculate the sound power incident on an eardrum at the threshold of pain.
?W

Solutions

Expert Solution

1. Largest amplitude is a1+a2 = 0.36m+0.21m= 0.57m

Addinig two waves amplitude (either two crusts or troughs of two different waves) produce constructive interference

B)Least amplitude is a1-a2 = 0.36m-0.21m = 0.15m

When crust of one wave( positive amplitude) interfere with trough of another wave(negetive amplitude) producing a destructive interference.

The sound travels with more speed through solids than air. So sound throgh steel rail reach the microphone firstly.

genius_generous answered 1 year ago

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