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Derive an expression for the equation of stationary wave on a stretched string.
Concept: Stationary Waves
Explain how vibrating strings can be verified using a sonometer.
Concept: Sonometer
A wave of frequency 500 Hz is traveling with a speed of 350 m/s. (a) What is the phase difference between two displacements at a certain point at times 1.0 ms apart? (b) what will be the smallest distance between two points which are 45° out of phase at an instant of time?
Concept: Speed of Wave Motion
A violin string vibrates with fundamental frequency of 440Hz. What are the frequencies of the first and second overtones?
Concept: Harmonics and Overtones
The string of a guitar is 80 cm long and has a fundamental frequency of 112 Hz. If a guitarist wishes to produce a frequency of 160 Hz, where should the person press the string?
Concept: The Speed of a Travelling Wave
Insect moves over the surface of water because of ______.
Concept: Surface Tension
The surface tension of a liquid at critical temperature is ______
Concept: Surface Tension
Explain the phenomena of surface tension on the basis of molecular theory.
Concept: Surface Tension
Obtain an expression for the capillary rise or fall using the forces method.
Concept: Surface Tension
A set of tuning forks is arranged in ascending order of frequencies each tuning fork gives 8 beats/s with the preceding one. If the frequency of the first tuning fork is 120 Hz and the last fork is 200 Hz, then the number of tuning forks arranged will be, ______
Concept: Superposition of Waves
Why wave motion is doubly periodic?
Concept: Superposition of Waves
What are overtones?
Concept: Harmonics and Overtones
State law of length.
Concept: Free and Forced Vibrations
State law of linear density.
Concept: Study of Vibrations of Air Columns
For a stationary wave set up in a string having both ends fixed, what is the ratio of the fundamental frequency to the third harmonic?
Concept: Stationary Waves
State any four applications of beats.
Concept: Beats
How the frequency of the vibrating wire is affected if the load is fully immersed in water?
Concept: Study of Vibrations of Air Columns
Show that even as well as odd harmonics are present as an overtone in modes of vibration of the string.
Concept: Free and Forced Vibrations
Two wires of the same material and same cross-section are stretched on a sonometer. One wire is loaded with 1 kg and another is loaded with 9 kg. The vibrating length of the first wire is 60 cm and its fundamental frequency of vibration is the same as that of the second wire. Calculate the vibrating length of the other wire.
Concept: Sonometer
Show that the distance between two successive nodes or antinodes is λ/2.
Concept: Stationary Waves
