Question

Standing wave is formed due to superposition of two waves $y_1=ASin(4\pi x-100t)$ and $y_2=ASin(4\pi x+100t)$. Then distance between two adjacent nodes on string is

• A. 50 $cm$
• B. 100 $cm$
• C. 25 $cm$
• D. 75 $cm$

Answer 1

The correct option is C 25 $cm$

$y=y_1+y_2=2Asin4\pi xcos100t$
$y=0$ at $x=0$
and $y=0$ at $x=\frac{1}{4}m=25cm$