A perfectly elastic uniform string is suspended vertically with its upper end fixed to the ceiling and the lower end loaded with the weight. If a transverse wave is imparted to the lower end of the string, the pulse will
Diffcult
Download our app for free and get started
$\boldsymbol{v}=\sqrt{\frac{T}{\mu}}=\sqrt{\frac{w+\mu x g}{\mu}}=\sqrt{\frac{w}{\mu}+x g}$
$\Rightarrow v^{2}=\frac{w}{\mu}+x g \Rightarrow 2 v \frac{d v}{d x}=g \Rightarrow a=\frac{g}{2}$
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
- 1View SolutionOne Mach number is equal to
- 2A source of sound of frequency $90$ vibrations/ sec is approaching a stationary observer with a speed equal to $1/10$ the speed of sound. What will be the frequency heard by the observer .... $vibrations/sec$View Solution
- 3A train moving at a speed of $220\, ms^{-1}$ towards a stationary object, emits a sound of frequency $1000\, Hz$. Some of the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the train is .... $ Hz$ (speed of sound in air is $330\, ms^{-1}$)View Solution
- 4View SolutionAt a certain instant a stationary transverse wave is found to have maximum kinetic energy. The appearance of string at that instant is
- 5A closed organ pipe of length $L$ and an open organ pipe contain gases of densities ${\rho _1}$ and ${\rho _2}$ respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open organ pipe isView Solution
- 6A wave is represented by the equation : $y = a\sin (0.01x - 2t)$ where $a$ and $x$ are in $cm$. velocity of propagation of wave is .... $cm/s$View Solution
- 7The speed of sound in oxygen $\left( O _{2}\right)$ at a certain temperature is $460 \;ms ^{-1}$. The speed of sound in helium $(He)$ at the same temperature will be (asume both gases to be ideal)View Solution
- 8Two pulses travel in mutually opposite directions in a string with a speed of $2.5 cm/s$ as shown in the figure. Initially the pulses are $10cm$ apart. What will be the state of the string after two secondsView Solution
- 9A sonometer wire oflength $1.5\ m$ is made of steel. The tension in it produces an elastic strain of $1 \%$. What is the fundamental frequency of steel if density and elasticity of steel are $7.7 \times 10^3 $ $kg/m^3$ and $2.2 \times 10^{11}$ $N/m^2$ respectively?View Solution
- 10An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is $50\, cm.$ The next larger length of the column resonating with the same tuning fork is .... $cm$View Solution