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Question

The amplitude, speed and frequency of a plane progressive wave are respectively 0.05 m,333 m/s, and 110 Hz. Write the equation of the wave.

y = 0.05 s i n 110 (t - \frac{x}{333})

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y = 0.05 s i n 110 π (t - \frac{x}{333})

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y = 0.05 s i n 220 (t - \frac{x}{333})

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y = 0.05 s i n 220 π (t - \frac{x}{333})

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Solution

The correct option is D $y = 0.05 s i n 220 π (t - \frac{x}{333})$
Here, $A = 0.05 m, v = 333 m / s, f = 110 H z$
So, $ω = 2 π f = 220 π$
Equation of wave, $y = A s i n ω (t - \frac{x}{v}) = 0.05 s i n 220 π (t - \frac{x}{333})$

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Which of the following statement are correct?

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The amplitude, speed and frequency of a plane progressive wave are respectively 0.05 m,333 m/s, and 110 Hz. Write the equation of the wave.

The correct option is D y=0.05 sin 220π(t−x333)Here, A=0.05 m, v=333 m/s, f=110 Hz So, ω=2πf=220π Equation of wave, y=A sinω(t−xv)=0.05 sin 220π(t−x333)

The correct option is D $y = 0.05 s i n 220 π (t - \frac{x}{333})$
Here, $A = 0.05 m, v = 333 m / s, f = 110 H z$
So, $ω = 2 π f = 220 π$
Equation of wave, $y = A s i n ω (t - \frac{x}{v}) = 0.05 s i n 220 π (t - \frac{x}{333})$