Wave motionHard
Question
Following are equations of four waves :
(i) 1 = a sin ω
(ii) y2 = a cos ω
(iii) z1 = a sin ω (iv) z2 = a cos ω
Which of the following statements is/are CORRECT?
(i) 1 = a sin ω
(ii) y2 = a cos ω(iii) z1 = a sin ω
(iv) z2 = a cos ωWhich of the following statements is/are CORRECT?
Options
A.On superposition of waves (i) and (iii), a travelling wave having amplitude a√2 will be formed.
B.Superposition of waves (ii) and (iii) is not possible.
C.On superposition of waves (i) and (ii), a transverse stationary wave having maximum amplitude a√2 will be formed.
D.On superposition of waves (iii) and (iv), a transverse stationary wave will be formed.
Solution
Superposition of waves (i) & (iii) will give traveling wave having amplitude of a√2
{waves are along x-axis but particle displacements are along y & z-axis respectively}
z1 + z2 = a
{waves are along x-axis but particle displacements are along y & z-axis respectively}
z1 + z2 = a
Create a free account to view solution
View Solution FreeMore Wave motion Questions
An air column in pipe,which is closed at one end will be in resonance with a vibrating tuning fork of frequency 264 Hz i...The intensity of the sound at 3 m distance from a small loudspeaker of power 10 w is 2 w/m2. If the power of loudspeaker...The displacement x (in metres) of a particle performing simple harmonic motion is related to time (t in seconds) as x = ...A sound is produced in water and moves towards surface of water and some sound moves in air velocity of sound in water i...A tube closed at one end and containing air produces, when excited the fundamental note of frequency 512 Hz. If the tube...