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JEE Main 2011
Exam
JEE Main
Year
2011
Subject
Physics
Chapter
Waves and Sound

JEE Main 2011 · Physics · Waves and Sound

The transverse displacement y(x, t) of a wave on a string is given...

The transverse displacement y(x,t)y(x, t) of a wave on a string is given by y(x,t)=e−(ax2+bt2+2abxt)y(x, t)=e^{-\left(a x^2+b t^2+2 \sqrt{a b} x t\right)}. This represents a

Options

  1. Awave moving in −x-x direction with speed ba\sqrt{\frac{b}{a}}
  2. Bstanding wave of frequency b\sqrt{b}
  3. Cstanding wave of frequency 1b\frac{1}{\sqrt{b}}
  4. Dwave moving in +x+x direction with ab\sqrt{\frac{a}{b}}

Correct answer

A. wave moving in −x-x direction with speed ba\sqrt{\frac{b}{a}}

Step-by-step solution

y_{(x, t)}=e^{-}(a\sqrt{a}x+b\sqrt{b}t)^2 v=ba\sqrt{\frac{b}{a}}Wave moving in - ve x\mathrm{x}-direction.
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