निम्नलिखित में से कौन सी समीकरण प्रगामी तरंग का निरूपण करती है?

Question

Question

y = Aexcos(ωt - θ)
\({\rm{y = A}}{{\rm{e}}^{{\rm{ - }}{{\rm{x}}^{\rm{2}}}}}{\rm{cos}}\left( {{\rm{vt + \theta }}} \right)\)
y = A sin (15x - 2t)
y = A sin x cos ωt

Answer 1

CONCEPT:

A wave in which the positions of maximum and minimum amplitude travel through the medium is known as a traveling wave. It is written as;

y = A sin(kx-\(\omega\)t) ----(1)

Here we have A as amplitude,\(\omega\) as angular frequency, and k is the propagation constant.

EXPLANATION:

According to the traveling wave equation, we have;

y = A sin(kx-\(\omega\)t)

Therefore option 3) is matching with equation 1) we have;

y = Asin (15x - 2t)

Here, A is the amplitude, k = 15 and \(\omega\) = 2 rad/sec.

Hence, option 3) is the correct answer.

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