A longitudinal wave is represented by $x =10 \sin 2 \pi\left( nt -\frac{ x }{\lambda}\right) \,cm$. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to .....................
JEE MAIN 2022, Medium
Download our appand 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.*
Similar Questions
- 1A string is stretched between fixed points separated by $75.0\ cm$. It is observed to have resonant frequencies of $420\ Hz$ and $315\ Hz.$ There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is .... $Hz$View Solution
- 2View SolutionDuring superposition of two waves of nearly equal frequencies, beats frequency is defined as the
- 3The frequency changes by $10\%$ as a sound source approaches a stationary observer with constant speed $v_s$. What would be the percentage change in frequency as the source recedes the observer with the same speed. ... $\%$ Given that $v_s < v$. ($v =$ speed of sound in air)View Solution
- 4The frequency of the sinusoidal wave $y = 0.40\cos [2000\,t + 0.80\,x]$ would beView Solution
- 5A wave equation which gives the displacement along the $Y$ direction is given by the equation $y = {10^4}\sin (60t + 2x)$, where $x$ and $y$ are in metres and $t$ is time in seconds. This represents a waveView Solution
- 6If the speed of the wave shown in the figure is $330m/s$ in the given medium, then the equation of the wave propagating in the positive $x-$direction will be (all quantities are in $M.K.S.$ units)View Solution
- 7The $(x, y)$ coordinates of the corners of a square plate are $(0, 0), (L, 0), (L, L)$ and $(0, L).$ The edges of the plate are clamped and transverse standing waves are set up in it. If $u(x, y)$ denotes the displacement of the plate at the point $(x, y)$ at some instant of time, the possible expression(s) for $u$ is(are) ($a =$ positive constant)View Solution
- 8Two waves represented by the following equations are travelling in the same medium ${y_1} = 5\sin 2\pi (75t - 0.25x)$, ${y_2} = 10\sin 2\pi (150t - 0.50x)$ The intensity ratio ${I_1}/{I_2}$ of the two waves isView Solution
- 9Two strings $X$ and $Y$ of a sitar produce a beat frequency $4 Hz$. When the tension of the string $Y$ is slightly increased the beat frequency is found to be $2 Hz.$ If the frequency of $X$ is $300 Hz,$ then the original frequency of $Y$ was .... $Hz$View Solution
- 10A pipe $17\, cm$ long is closed at one end. Which harmonic mode of the pipe resonates a $1.5\, kHz$ source ?View Solution
(Speed of sound in air $= 340\, m\, s^{-1}$)