A travelling wave pulse defined as y-105-x-2t2- In which direction and with what velocity is the pulse propagating-

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Standard XII

Physics

Wave in Negative X-Direction

A travelling ...

Question

A travelling wave pulse defined as $y = \frac{10}{5 + (x + 2 t)^{2}}$ . In which direction and with what velocity is the pulse propagating?

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Solution

A pulse can be expressed by the form given as $y = \frac{a}{b + (x \mp v t)^{2}}$ ,
By comparing the given equation with the given pulse we find that the pulse is travelling along negative x-axis with velocity $2$ m/s.
Note: The given function is finite for all values of x and t, because denominator i.e., ${5 + (x + 2 t)^{2}}$ can never be equal to zero.

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A travelling wave pulse defined as y=105+(x+2t)2. In which direction and with what velocity is the pulse propagating?

A travelling wave pulse defined as $y = \frac{10}{5 + (x + 2 t)^{2}}$ . In which direction and with what velocity is the pulse propagating?