Question

The equation of the wave representing stationary wave is

• A. $0.75\sin 19.3x\cos 880\pi t$
• B. $(0.75\times {10}^{-3})\sin 19.3x\cos 880\pi t$
• C. $(1.5\times {10}^{-3})\sin 19.3x\cos 880\pi t$
• D. $(1.50\times {10}^{-3})\sin 19.3x\cos 440\pi t$

Answer 1

The correct option is C $(1.5\times {10}^{-3})\sin 19.3x\cos 880\pi t$

$y=2y_0\sin kx\cos \omega t$

$=1.5\times {10}^{-3}\sin \left(\frac{440\times 2\pi }{143}x\right)\cos (440\times 2\pi )t$
$=(1.5\times {10}^{-3})\sin 19.3x\cos 880\pi t$