MCQ
The phase difference between two waves represented by
$y_1=10^{-6} \sin [100 t+(x / 50)+0.5] m $
$y_2=10^{-6} \cos [100 t+(x / 50)] m $
where $x$ is expressed in metres and $t$ is expressed in seconds, is approximately
  • A
    $1.5\  \mathrm{rad}$
  • $1.07\  \mathrm{rad}$
  • C
    $2.07\  \mathrm{rad}$
  • D
    $0.5\  \mathrm{rad}$

Answer

Correct option: B.
$1.07\  \mathrm{rad}$
$y_1=10^{-6} \sin [100 t+(x / 50)+0.5] \\y_2=10^{-6} \sin \left[100 t+\left(\frac{x}{50}\right)+\left(\frac{\pi}{2}\right)\right]$
Phase difference $\phi=[100 t+(x / 50)+1.57]-[100 t+(x / 50)+0.5] $
$=1.07\ \text{radians.}$

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