In the equation y-Asinkx- t-0 the term phase is defined as-

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Wave Equation

In the equati...

Question

In the equation $y = A sin (k x - ω t + ϕ_{0})$ the term phase is defined as:

ϕ_{0}

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ϕ_{0} - ω t

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k x + ϕ_{0}

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k x - ω t - ϕ_{0}

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Solution

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y = A sin (k x - ω t + ϕ_{0})

\frac{d y}{d t} = 2 ω sin (ω t + ϕ_{0})

ω t + ϕ_{0}

\frac{d y}{d x} = 2 ω sin (ω t + ϕ_{0})

ω t + ϕ_{0}

ϕ = ϕ_{0} + 4 t,

ϕ

ϕ_{0}

Which of the following two wave equations can form stationary wave?

(i) $Y = A s i n (ω t - k x)$

(ii) $Y = A c o s (ω t - k x)$

(iii) $Y = A s i n (ω t + k x)$

(iv) $Y = A c o s (ω t + k x)$

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