The transverse displacement y(x, t) of a wave on a string is given by y(x, t)=e-(ax2+bt2+2abxt). This represents a

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

1. A

wave moving in –x direction with speed $\sqrt{\frac{\mathrm{b}}{\mathrm{a}}}$

2. B

standing wave of frequency $\sqrt{\mathrm{b}}$

3. C

standing wave of frequency $\frac{1}{\sqrt{\mathrm{b}}}$

4. D

wave moving in +x direction with $\sqrt{\frac{\mathrm{a}}{\mathrm{b}}}$

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

Given equation
$\mathrm{y}\left(\mathrm{x},\mathrm{t}\right)={\mathrm{e}}^{-\left({\mathrm{ax}}^{2}+{\mathrm{bt}}^{2}+2\sqrt{\mathrm{abxt}}\right)}={\mathrm{e}}^{-{\left(\sqrt{\mathrm{ax}}+\sqrt{\mathrm{bt}}\right)}^{2}}$

wave is moving in negative x - direction

## Related content

 Zener Diode Hygrometer Half Wave Rectifier Compound Microscope Solar Cooker MCB Difference Between Scalar and Vector Quantity Difference Between Interference and Diffraction Difference Between Heat and Temperature Difference Between Real and Virtual Image

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)