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The transverse displacement y(x, t) of a wave on a string is given by y(x, t)=e^- (a x^2+b t^2+2 √(a b) x t ). This represents a

wave moving in -x direction with speed √((b)/(a))

standing wave of frequency √(b)

standing wave of frequency 1√(b)

wave moving in +x direction with √((a)/(b))

Waves

JEE Main level, single correct, medium

21 of 142

Question 21 of 142

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

Show answer and solution

Answer: (A) wave moving in $-x$ direction with speed $\sqrt{\frac{b}{a}}$

y_{(x, t)}=e^{-}(\sqrt{a} x+\sqrt{b} t)^2 v=\sqrt{\frac{b}{a}}

Wave moving in - ve

\mathrm{x}

-direction.

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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More Physics practice

JEE Main Physics practice question on Waves (Basics of Mechanical Waves), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

The transverse displacement y(x,t)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)}y(x,t)=e−(ax2+bt2+2ab​xt). This represents a

JEE Main question paper PDF

More Physics practice

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