Advertisements
Advertisements
प्रश्न
Answer in brief:
State the characteristics of stationary waves.
Advertisements
उत्तर
Stationary wave: When two identical waves travelling along the same path in opposite directions interfere with each other, resultant wave is called a stationary wave.
Characteristics of stationary waves:
- Stationary waves are produced due to the superposition of two identical waves traveling through a medium along the same path in opposite directions.
- A standing wave has an overall look of alternating intensity maximum (displacement antinode) and minimum (displacement node).
- The distance between two consecutive nodes and antinodes is `λ/2`.
- Nodes and antinodes are produced alternately. The distance between a node and an adjacent antinode is `λ/4`.
- The amplitude of vibration varies periodically in space. All points vibrate with the same frequency.
- Though all the particles (except those at the nodes) possess energy, there is no propagation of energy. The wave is localized and its velocity is zero. Therefore, we call it a stationary wave.
- All the particles between adjacent nodes (i.e., in one loop) vibrate in phase. There is no progressive change of phase from one particle to another particle. All the particles in the same loop are in the same phase of oscillation, which reverses for the adjacent loop.
संबंधित प्रश्न
Derive an expression for the equation of stationary wave on a stretched string.
Find the amplitude of the resultant wave produced due to interference of two waves given as y1 = A1 sinωt, y2 = A2 sin(ωt + φ)
What are stationary waves? Why are they called stationary waves?
Two parallel SHMs have equations y1 = a1 sin(ωt + 2π) and y2 = a2 sin(ωt + 4π). The amplitude of the resultant is ______
When a simple harmonic progressive wave is travelling through a medium, then each succeeding particle ______
The equation of simple harmonic progressive wave is given by Y = a sin 2π (bt - cx). The maximum particle velocity will be twice the wave velocity if ______.
A stretched string fixed at both ends has 'rrl nodes, then the length of the string will be ______.
Find the wrong statement from the following about the equation of stationary wave given by Y = 0.04 cos(πx) sin(50 πt) m where t is in second. Then for the stationary wave.
A stretched string of 1 m length and mass 5 x 10-4 kg is having tension of 20 N. If it is plucked at 25 cm from one end then it will vibrate with frequency ____________.
For stationary waves in the medium, ____________.
The equation of a stationary wave is given by 2 sin `((pi"x")/15) "cos" (48 pi"t").`The distance between a node and its next antinode is ____________.
The wave described by y = 0.35 sin (27πt - 10πx), where x and y are in metre and tin second, is a wave travelling along the ______.
In Melde's experiment, when the wire is stretched by an empty pan, four loops are obtained and when a six-gram weight is added to the pan, the number of loops becomes one. The mass of pan is ______
The correct statement about stationary waves is that ______
In a stationary wave all particles ______
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 ______.
A string is vibrating in its fifth overtone between two rigid supports 2.4 m apart. The distance between successive node and antinode is ______.
What is a stationary wave?
Phase difference between a node and an adjacent antinode in a stationary wave is ______.
A closed organ pipe (closed at one end) is excited to support the third overtone. It is found that air in the pipe has ______.
A string 120 cm long is fixed at one end. The other end is moved up and down with frequency 20 Hz. On a stationary wave 4 loops are formed. The speed of the progressive wave which moves along the string is ______.
