Advertisements
Advertisements
प्रश्न
Find the amplitude of the resultant wave produced due to interference of two waves given as y1 = A1 sinωt, y2 = A2 sin(ωt + φ)
Advertisements
उत्तर
The amplitude of the resultant wave produced due to the interference of the two waves is
A = `sqrt("A"_1^2+2"A"_1"A"_2cosφ+"A"_2^2)`
APPEARS IN
संबंधित प्रश्न
Answer in brief:
State the characteristics of stationary waves.
Answer in brief.
For a stationary wave set up in a string having both ends fixed, what is the ratio of the fundamental frequency to the second harmonic?
Derive an expression for the equation of stationary wave on a stretched string.
A standing wave is produced in a tube open at both ends. The fundamental frequency is 300 Hz. What is the length of the tube? (speed of the sound = 340 m s-1).
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?
Show that the distance between two successive nodes or antinodes is λ/2.
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 ______.
Two travelling waves, y1 = A sin [k (x + ct)] and y2 = A sin [k (x - ct)] are superposed on a string. The distance between adjacent nodes is ____________.
A stretched string fixed at both ends has 'rrl nodes, then the length of the string will be ______.
A glass tube is open at both ends. A tuning fork of frequency f resonates with the air column inside the tube. Now the tube is placed vertically inside water so that half the length of the tube is filled with water. Now that air column inside the tube is in unison with another fork of frequency f, ____________.
A simple harmonic progressive wave is represented as y = 0.03 sin π(2t - 0.01x) m. At a given instant of time, the phase difference between two particles 25 m apart is ______.
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.
For the stationary wave,
y = 8sin(6.25πx) cos(96πt) metre, the distance between a node and the next antinode is ____________.
For stationary waves in the medium, ____________.
lf the length of a stretched string is shortened by 40 % and the tension is increased by 44%, then the ratio of the final and initial fundamental frequencies are ____________.
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 a stationary wave all particles ______
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 ______.
