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14. waves and sound — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics14. waves and sound1 Mark
MCQ
A wave represented by the equation $y = A cos (kx - \omega t)$ is superimposed with another wave to form a statioary wave such that the point $x =0$ is a node. The equation of the other wave is:
  • A
    $-A sin (kx + \omega t)$
  • ✓
    $- A cos (kx + \omega t)$
  • C
    $A sin (kx + \omega t)$
  • D
    $A cos (kx + \omega t)$
✓

Answer

Correct option: B.
$- A cos (kx + \omega t)$
b
$y_{1}=A \cos (k x-\omega t)$

$\mathrm{y}_{2}=\mathrm{A} \cos (\mathrm{kx}+\omega \mathrm{t}+\phi)$

$y_{1}+y_{2}=2 A \cos 20\left(k x+\frac{\phi}{2}\right) \cos \left(\omega t+\frac{\phi}{2}\right)$

$\cos \frac{\phi}{2}=0 ; \phi=\pi$

$y_{2}=-A \cos (k x+\omega t)$

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