Calculate the maximum velocity of the particle in a wave motion. The distance between two crest is called-. Which of the following is related to Doppler effect? In which of the following medium will sound travel at the fastest speed? Suggested Test Series. Suggested Exams. More Physics Questions Q1. X-rays were discovered by:. When a body is immersed in a liquid the upward force experienced by it is known as :. Which among the following is a non-conservative force?
The work done to move a unit charge from a point to another is called :. On which of the following scientific principles is an electric generator based? Which among the following is used in making windows for the X-ray tubes? How many electrons taken together make one coulomb?
Why do roofs of gymnasiums and churches seem to fail more than family homes when an earthquake occurs? Wine glasses can be set into resonance by moistening your finger and rubbing it around the rim of the glass. Energy is supplied to the glass by the work done by the force of your finger on the glass. When supplied at the right frequency, standing waves form. The glass resonates and the vibrations produce sound. Air conditioning units are sometimes placed on the roof of homes in the city.
Occasionally, the air conditioners cause an undesirable hum throughout the upper floors of the homes. Why does this happen? What can be done to reduce the hum? At what frequency must the Slinky be oscillating? A 2-m long string is stretched between two supports with a tension that produces a wave speed equal to. Consider the experimental setup shown below. The length of the string between the string vibrator and the pulley is. The string vibrator can oscillate at any frequency.
The hanging mass is 2. What is the wavelength of the sound if the speed of the sound is. The tension in the cable is The distance between poles is 20 meters. The wind blows across the line, causing the cable resonate. A standing waves pattern is produced that has 4. The air temperature is. Consider a rod of length L , mounted in the center to a support. A node must exist where the rod is mounted on a support, as shown below.
Draw the first two normal modes of the rod as it is driven into resonance. Label the wavelength and the frequency required to drive the rod into resonance. The wire is held rigidly at both ends and set into oscillation.
The string is driven into resonance by a frequency that produces a standing wave with a wavelength equal to 1. A string with a linear mass density of 0. The tension in the string is What is the wavelength and frequency of the wave? Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string producing a standing wave.
The linear mass density of the string is. A string, fixed on both ends, is 5. The tension if the string is 90 N. The string is vibrating to produce a standing wave at the fundamental frequency of the string. A string is fixed at both end. The mass of the string is 0. The string is under a tension of The string is driven by a variable frequency source to produce standing waves on the string.
Find the wavelengths and frequency of the first four modes of standing waves. The frequencies of two successive modes of standing waves on a string are What is the next frequency above A string is fixed at both ends to supports 3.
A standing wave is produced on the string with six nodes and five antinodes. What are the wave speed, wavelength, frequency, and period of the standing wave?
Sine waves are sent down a 1. The waves reflect back in the opposite direction. The amplitude of the wave is 4. Ultrasound equipment used in the medical profession uses sound waves of a frequency above the range of human hearing. If the frequency of the sound produced by the ultrasound machine is. Estimate the amplitude, wavelength, velocity, and period of the wave. The frequency of the light is the same for the air and the glass. A radio station broadcasts radio waves at a frequency of The radio waves move through the air at approximately the speed of light in a vacuum.
What is the wavelength of the radio waves? A sunbather stands waist deep in the ocean and observes that six crests of periodic surface waves pass each minute. The crests are What is the wavelength, frequency, period, and speed of the waves?
A tuning fork vibrates producing sound at a frequency of Hz. The speed of sound of sound in air is. The boat bounces up and down every 0. It bounces up and down every 0. What is the speed and wavelength of the wave? Use the linear wave equation to show that the wave speed of a wave modeled with the wave function.
A sinusoidal wave travels down a taut, horizontal string with a linear mass density of. What are the wave speed, wave number, and angular frequency of the wave? A student holds an inexpensive sonic range finder and uses the range finder to find the distance to the wall. The sonic range finder emits a sound wave. The sound wave reflects off the wall and returns to the range finder.
The round trip takes 0. The range finder was calibrated for use at room temperature. Assuming that the timing mechanism is perfect, what percentage of error can the student expect due to the calibration? A wave on a string is driven by a string vibrator, which oscillates at a frequency of The string vibrator operates at a voltage of The power consumed by the string vibrator is. The string is 3. What is the linear mass density of the string? A transverse wave on a string has a wavelength of 5.
The average power transferred by the wave is 5. What is the tension in the string? Note how your answer depends on the time duration of the exposure. A trough with dimensions Small-amplitude surface water waves are produced from both ends of the trough by paddles oscillating in simple harmonic motion. The height of the water waves are modeled with two sinusoidal wave equations,. What is the wave function of the resulting wave after the waves reach one another and before they reach the end of the trough i.
Use a spreadsheet to check your results. Hint: Use the trig identities. A seismograph records the S- and P-waves from an earthquake If they traveled the same path at constant wave speeds of. Consider what is shown below. The string passes over a frictionless pulley of negligible mass and is attached to a hanging mass m. The system is in static equilibrium. A wave is induced on the string and travels up the ramp.
A string has a mass of g and a length of 3. One end of the string is fixed to a lab stand and the other is attached to a spring with a spring constant of. The free end of the spring is attached to another lab pole. The tension in the string is maintained by the spring. The lab poles are separated by a distance that stretches the spring 2. The string is plucked and a pulse travels along the string.
What is the propagation speed of the pulse? A standing wave is produced on a string under a tension of The string is fixed at. The amplitude of the standing wave is 3. It takes 0. A string with a length of 4 m is held under a constant tension. The string has a linear mass density of. Two resonant frequencies of the string are Hz and Hz.
There are no resonant frequencies between the two frequencies. The wire is placed under a tension of N and the wire stretches by a small amount.
The wire is plucked and a pulse travels down the wire. Assume the temperature does not change:. A pulse moving along the x axis can be modeled as the wave function. For instance, if the teacher vibrates the end with twice the frequency as that associated with the first harmonic, then a second standing wave pattern can be achieved.
This standing wave pattern is characterized by nodes on the two ends of the snakey and an additional node in the exact center of the snakey. As in all standing wave patterns, every node is separated by an antinode. This pattern with three nodes and two antinodes is referred to as the second harmonic and is depicted in the animation shown below.
If the frequency at which the teacher vibrates the snakey is increased even more, then the third harmonic wave pattern can be produced within the snakey. The standing wave pattern for the third harmonic has an additional node and antinode between the ends of the snakey.
The pattern is depicted in the animation shown below. Observe that each consecutive harmonic is characterized by having one additional node and antinode compared to the previous one. The table below summarizes the features of the standing wave patterns for the first several harmonics. As one studies harmonics and their standing wave patterns, it becomes evident that there is a predictability about them.
Not surprisingly, this predictability expresses itself in a series of mathematical relationships that relate the wavelength of the wave pattern to the length of the medium. Additionally, the frequency of each harmonic is mathematically related to the frequency of the first harmonic. The next part of Lesson 4 will explore these mathematical relationships. Physics Tutorial.
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