Two plane progressive waves travelling on a string as aligned & y_1=2.5 × 10^ -3 (30 x-420 t) & y_2=2.5 × 10^ -3 (30 x+420 t) aligned superimpose to produce a standing wave. The variables x and y are in meter and t is

Olympiad workbook

Olympiad workbook · NSEP · Waves and Sound

Two plane progressive waves travelling on a string as aligned &...

Two plane progressive waves travelling on a string as

\begin{aligned} & y_1=2.5 \times 10^{-3} \sin (30 x-420 t) \\ & y_2=2.5 \times 10^{-3} \sin (30 x+420 t) \end{aligned}

superimpose to produce a standing wave. The variables

x

and

y

are in meter and t is in second. Then

Athe equation of resultant standing wave is $y=5 \times 10^{-3} \cos (30 x) \sin (420 t)$
Bthe equation of resultant standing wave is $y=2.5 \times 10^{-3} \sin (30 x) \cos (420 t)$
Cthe antinode closest to $x=0.25 \mathrm{~m}$ is at $x=0.262 \mathrm{~m}$
Dthe amplitude of oscillation of particle at $x=0.17 \mathrm{~m}$ is 4.63 mm

D. the amplitude of oscillation of particle at $x=0.17 \mathrm{~m}$ is 4.63 mm

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