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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
Waves produced by two vibrators in a medium have wavelength 2 m and 2.1 m respectively. When sounded together they produce 8 beats/second. Calculate wave velocity and frequencies of the vibrators.
Concept: Study of Vibrations of Air Columns
A liquid rises in glass capillary tube upto a height of 2.5 cm at room temperature. If another glass capillary tube having radius half that of the earlier tube is immersed in the same Liquid, the rise of liquid in it will be _______.
Concept: Capillarity and Capillary Action
The equation of a simple harmonic progressive wave travelling on a string is y = 8 sin (0.02x - 4t) cm. The speed of the wave is ______.
Concept: Stationary Waves
Eight droplets of water each of radius 0.2 mm coalesce into a single drop. Find the decrease in the surface area.
Concept: Surface Tension
Two tuning forks of frequencies 320 Hz and 340 Hz are sounded together to produce a sound wave. The velocity of sound in air is 326.4 m/s. Calculate the difference in wavelengths of these waves.
Concept: Beats
The dimensional formula of surface tension is ______.
Concept: Molecular Theory of Surface Tension
Why a detergent powder is mixed with water to wash clothes?
Concept: Effect of Impurity and Temperature on Surface Tension
Phase difference between a node and an adjacent antinode in a stationary wave is ______.
Concept: Stationary Waves
Two tuning forks having frequencies 320 Hz and 340 Hz are sounded together to produce sound waves. The velocity of sound in air is 340 m/s. Find the difference in wavelength of these waves.
Concept: Speed of Wave Motion
A set of 48 tuning forks is arranged in a series of descending frequencies such that each fork gives 4 beats per second with preceding one. The frequency of first fork is 1.5 times the frequency of the last fork, find the frequency of the first and 42nd tuning fork
Concept: Formation of Beats
The resolving power of a telescope depends upon the ______.
Concept: Resolving Power
When longitudinal wave is incident at the boundary of denser medium, then............................
- compression reflects as a compression.
- compression reflects as a rarefaction.
- rarefaction reflects as a compression.
- longitudinal wave reflects as transverse wave.
Concept: Reflection of Transverse and Longitudinal Waves
A sonometer wire is in unison with a tuning fork of frequency 125 Hz when it is stretched by a weight. When the weight is completely immersed in water, 8 beats are heard per second. Find the specific gravity of the material of the weight.
Concept: Formation of Beats
The equation of a progressive wave is y = 7 sin (4t - 0.02x), where x and y are in cms and time t in seconds. The maximum velocity of a particle is _______.
Concept: Simple Harmonic Progressive Waves,
Wavelengths of two notes in the air are`[70/153]^m` and `[70/157]^m`. Each of these notes produces 8 beats per second with a tuning fork of fixed frequency. Find the velocity of sound in the air and frequency of the tuning fork.
Concept: Beats
If numerical aperture of a microscope is increased, then its ______.
Concept: Resolving Power
When a transverse wave on a string is reflected from the free end, the phase change produced is ..............
(a) zero rad
(b) ` pi/2 ` rad
(c) `(3pi)/4` rad
(d) `pi` rad
Concept: Reflection of Transverse and Longitudinal Waves
A train blows a whistle of frequency 640 Hz in air. Find the difference in apparent frequencies of the whistle for a stationary observer, when the train moves towards and away from the observer with the speed of 72 Km/hour. [Speed of sound in air = 340 m/s.]
Concept: Formation of Beats
