The equations of two waves acting in perpendicular directions are given as $x=a \cos (\omega t+\delta)$ and $y=a \cos (\omega t+\alpha)$, where $\delta=\alpha+\frac{\pi}{2}$, the resultant wave represents
Aa circle $(c.w)$
Ba circle $(a.c.w)$
Can Ellipse $(c.w)$
Dan ellipse $(a.c.w)$
AIPMT 2000, Medium
Download our app for free and get started
Ba circle $(a.c.w)$
b $x=a \cos (\omega t+\delta)$ and
$y=a \cos (\omega t+\alpha)$
$\delta=\alpha+\pi / 2$
$x=a \cos (\omega t+\alpha+\pi / 2)$
$x=-a \sin (\omega t+\alpha)$
$x^{2}+y^{2}=a^{2}$
which represents the equation of a circle.
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
A rope of length $L$ and uniform linear density is hanging from the ceiling. A transverse wave pulse, generated close to the free end of the rope, travels upwards through the rope. Select the correct option.
Two wires are fixed in a sonometer. Their tensions are in the ratio $8 : 1$. The lengths are in the ratio $36:35.$ The diameters are in the ratio $4 : 1$. Densities of the materials are in the ratio $1 : 2$. If the lower frequency in the setting is $360 Hz.$ the beat frequency when the two wires are sounded together is
A tuning fork of frequency $280\,\, Hz$ produces $10$ beats per sec when sounded with a vibrating sonometer string. When the tension in the string increases slightly, it produces $11$ beats per sec. The original frequency of the vibrating sonometer string is ... $Hz$
An organ pipe of length $L$ open at both ends is found to vibrate in its first harmonic when sounded with a tuning fork of $480\, Hz$. What should be the length of a pipe closed at one end, so that it also vibrates in its first harmonic with the same tuning fork ?
The disc of a siren containing $60$ holes rotates at a constant speed of $360\,rpm$. The emitted sound is in unison with a tuning fork of frequency .... $Hz$
A sound wave of frequency $\nu$ travels horizontally to the right. It is reflected from a large vertical plane surface moving to the left with a speed $v.$ The speed of sound in the medium is $c,$ then