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
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