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

  1. y = Aexcos(ωt - θ)
  2. y = A sin (15x - 2t)
  3. y = A sin x cos ωt

Answer (Detailed Solution Below)

Option 3 : y = A sin (15x - 2t)
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JEE Main 04 April 2024 Shift 1
90 Qs. 300 Marks 180 Mins

Detailed Solution

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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-t) ----(1)

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

EXPLANATION:

According to the traveling wave equation, we have;

y = A sin(kx-t)

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

y = Asin (15x - 2t)

Here, A is the amplitude, k = 15 and  = 2 rad/sec.

Hence, option 3) is the correct answer.

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