The equation of stationary wave along a stretched string is given by $y = 5\sin \frac{{\pi x}}{3}\cos 40\pi t$ where $x$ and $y$ are in centimetre and $t$ in second. The separation between two adjacent nodes is .... $cm$
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
- 1In an organ pipe whose one end is at $x = 0$, the pressure is expressed by $p = {p_0}\cos \frac{{3\pi x}}{2} \,\,sin\,\, 300\pi t$ where $x$ is in meter and $t$ in $sec$. The organ pipe can beView Solution
- 2The velocity of sound in a gas. in which two wavelengths $4.08\,m$ and $4.16\,m$ produce $40$ beats in $12\,s$, will be ..............$ms ^{-1}$View Solution
- 3The frequencies of two sound sources are $256 Hz$ and $260 Hz$. At $t = 0,$ the intensity of sound is maximum. Then the phase difference at the time $t = \frac{1}{16}\, sec$ will beView Solution
- 4A boy is walking away from a wall towards an observer at a speed of $1\, metre/sec$ and blows a whistle whose frequency is $680 Hz.$ The number of beats heard by the observer per second is (Velocity of sound in air $= 340\, metres/sec$)View Solution
- 5A train moves towards a stationary observer with a speed $34 \,m / s$. The train sounds a whistle and its frequency registered by the observer is $f_1$. If the speed of the train is reduced to $17 \,m / s$, the frequency registered is $f_2$. If the speed of sound is $340 \,m / s$ then the ratio $\frac{f_1}{f_2}$ is ..........View Solution
- 6It is found that an increase in pressure of $100\, kPa$ causes a certain volume of water to decrease by $5 × 10^{-3}$ percent of its original volume. Then the speed of sound in the water is about .... $m/s$ (density of water $10^3 \,kg/m^3$)View Solution
- 7Two cars are moving on two perpendicular roads towards a crossing with uniform speeds of $72\; km/hr$ and $36\; km/hr$. If first car blows horn of frequency $280\; Hz,$ then the frequency of horn heard by the driver of second car when line joining the cars make $45^o$ angle with the roads; will be .... $Hz$View Solution
- 8A wire of length one metre under a certain initial tension emits a sound of fundamental frequency $256 \,Hz$. When the tension is increased by $1 \,kg$ wt, the frequency of the fundamental node increases to $320 \,Hz$. The initial tension is ........... $kg \,wt$View Solution
- 9The intensity of sound after passing through a slab decreases by $30\%$. On passing through two such slabs, the intensity will decrease by ..... $\%$View Solution
- 10The path Difference between the two waves ${y_1} = {a_1}\,\sin \,\left( {\omega t - \frac{{2\pi x}}{\lambda }} \right)$ and ${y_2} = {a_2}\,\cos \,\left( {\omega t - \frac{{2\pi x}}{\lambda } + \phi } \right)$ isView Solution