Practice Problems for Waves
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Practice Problems for Waves 1. A bat can detect small objects such as an insect whose size is approximately equal to one wavelength of the sound the bat makes. If bats emit a chirp at a frequency of 60.0Hz and if the speed of sound in air is 340 m/s, what is the smallest insect a bat can detect? 2. If the frequency of oscillation of the wave emitted by an FM radio station is 88.0 MHz, determine the waves (a) period of vibration and (b) wavelength. (Radio waves travel at the speed of light, 3.00 x 10 8 m/s). 3. A piano emits sound waves with frequencies that range from a low of about 28 Hz to a high of about 4200 Hz. Find the range of wavelengths spanned by this instrument. The speed of sound in air is approximately 343 m/s. 4. A transverse wave is traveling along a rope. It is observed that the oscillator that generates the wave completes 40.0 vibrations in 30.0 seconds. Also, a given maximum travels 425 cm along the rope in 10.0 seconds. What is the wavelength? 5. Ocean waves are traveling to the east at 4.0 m/s with a distance of 20 m between crests. With what frequency do the waves hit the front of a boat when the boat is at anchor? 6. A girl on the beach watching water waves sees 4 waves pass by in 2 seconds, each with a wavelength of 0.5 m. Find (a) the period and frequency of the wave and (b) the speed of the wave.
Transcript of Practice Problems for Waves
Practice Problems for Waves
1. A bat can detect small objects such as an insect whose size is approximately equal to one wavelength of the sound the bat makes. If bats emit a chirp at a frequency of 60.0Hz and if the speed of sound in air is 340 m/s, what is the smallest insect a bat can detect?
2. If the frequency of oscillation of the wave emitted by an FM radio station is 88.0 MHz, determine the waves (a) period of vibration and (b) wavelength. (Radio waves travel at the speed of light, 3.00 x 108 m/s).
3. A piano emits sound waves with frequencies that range from a low of about 28 Hz to a high of about 4200 Hz. Find the range of wavelengths spanned by this instrument. The speed of sound in air is approximately 343 m/s.
4. A transverse wave is traveling along a rope. It is observed that the oscillator that generates the wave completes 40.0 vibrations in 30.0 seconds. Also, a given maximum travels 425 cm along the rope in 10.0 seconds. What is the wavelength?
5. Ocean waves are traveling to the east at 4.0 m/s with a distance of 20 m between crests. With what frequency do the waves hit the front of a boat when the boat is at anchor?
6. A girl on the beach watching water waves sees 4 waves pass by in 2 seconds, each with a wavelength of 0.5 m. Find (a) the period and frequency of the wave and (b) the speed of the wave.
7. If a wave has frequency 1014 Hz and speed v = 100 m/s, what is its wavelength? How will the wavelength change if the frequency is 1015 Hz?
8. A phone cord is 4.00 m long. Plucking one end of the taut cord produces a transverse wave. The pulse makes four trips down and back along the cord in 0.800 seconds. What is the wave’s velocity?
9. A circus performer stretches a tightrope between two towers. He strikes one end of the rope and sends a wave along it toward the other tower. He notes that it takes the wave 0.800 seconds to reach the opposite tower, 20.0 m away. What is the velocity of the wave?
10. A wave pulse travels the length of a slinky in 0.1 seconds. If the slinky is 3.0 meters long, find the speed of the wave.
