The equation of a longitudinal wave is represented as $y = 20\cos \pi (50t - x)$. Its wavelength is ..... $cm$
A$5$
B$2$
C$50$
D$20$
Easy
Download our app for free and get started
B$2$
b (b) By comparing it with standard equation
$y = a\cos (\omega t - kx)$
==>$k= \frac{{2\pi }}{\lambda } = \pi $
==> $\lambda = 2\,cm$
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.*
An open pipe resonates with a tuning fork of frequency $500 Hz$. it is observed that two successive nodes are formed at distances $16$ and $46 cm $ from the open end. The speed of sound in air in the pipe is ..... $m/s$
The equation of a stationary wave is $y = 0.8\cos \,\left( {\frac{{\pi x}}{{20}}} \right)\sin 200\,\pi t$, where $x$ is in $cm$ and $t$ is in sec. The separation between consecutive nodes will be..... $cm$
A wave equation is $y = 10^{-4}\, sin\, (60 t + 2x)$ Where $x$ and $y$ are in $metres$ and $t$ is in $sec$ . Which of the following statements is correct ?
The length of a sonometer wire tuned to a frequency of $250 Hz$ is $0.60$ metre. The frequency of tuning fork with which the vibrating wire will be in tune when the length is made $0.40$ metre is .... $Hz$
In Quincke’s tube a detector detects minimum intensity. Now one of the tube is displaced by $5 \,\,cm$. During displacement detector detects maximum intensity $10$ times, then finally a minimum intensity (when displacement is complete). The wavelength of sound is .... $cm$
The number of possible natural oscillations of air column in a pipe closed at one end of length $85 \,\,cm$ whose frequencies lie below $1250\,\, Hz$ are (Velocity of sound $= 340 \,\,m s^{-1}$)
A surface of area $S$ is placed perpendicular to the direction of travel of a plane wave. The energy per unit time intercepted by the surface is $E$ when the amplitude of the wave is $A$ . The area of the surface is reduced to $\frac{1}{2} \ S$ and the amplitude of the wave is increased to $2\ A$ . What is the energy per unit time intercepted by this smaller surface?
The wave function of a pulse is given by $y=\frac{5}{(4 x+6 t)^2}$, where $x$ and $y$ are in metre and $t$ is in second. The velocity of pulse is ......... $m / s$