What could be a correct expression for the speed of ocean waves in terms of its wavelength $\lambda $ , the depth $h$ of the ocean, the density $\rho $ of sea water, and the acceleration of free fall $g$ ?
Medium
Download our app for free and get started
A question of units and dimensions. Only the dimension of option $(A) \sqrt {g\lambda } $ matches the dimesion of speed.
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 SolutionA medium can carry a longitudinal wave because it has the property of
- 2The persistence of sound in a room after the source of sound is turned off is called reverberation. The measure of reverberation time is the time required for sound intensity to decrease by $60 \,dB$. It is given that the intensity of sound falls off as $I_0 \exp \left(-c_1 \alpha\right)$ where $I_0$ is the initial intensity, $c_1$ is a dimensionless constant with value $1 / 4$. Here, $\alpha$ is a positive constant which depends on the speed of sound, volume of the room, reverberation time, and the effective absorbing area $A_e$. The value of $A_e$ is the product of absorbing coefficient (with value between $0$ and $1,1$ being a perfect absorber) and the area of the room. For a concert hall of volume $600 \,m ^3$, the value of $A_e$ (in $m ^2$ ) required to give a reverberation time of $1 s$ is closest to (speed of sound in air $=340 \,m / s$ )View Solution
- 3At $23^{\circ} C$, a pipe open at both ends resonates at a frequency of $450 \,Hz$. At what frequency does the same pipe resonate on a hot day when the speed of sound is $4 \%$ higher than it would be at $23^{\circ} C$ ?View Solution
- 4At what temperature velocity of sound is double than that of at $0°C$View Solution
- 5The power of a sound from the speaker of a radio is $20 mW$. By turning the knob of the volume control, the power of the sound is increased to $400 mW.$ The power increase in decibels as compared to the original power is .... $dB$View Solution
- 6Frequency of a sonometer wire is $n.$ Now its tension is increased $4$ times and its length is doubled then new frequency will beView Solution
- 7Two open organ pipes of length $25 cm$ and $25.5 cm$ produce $10$ beat/sec. The velocity of sound will be ..... $m/s$View Solution
- 8View SolutionThe following phenomenon cannot be observed for sound waves
- 9A cylindrical tube, open at both ends, has a fundamental frequency ${f_0}$ in air. The tube is dipped vertically into water such that half of its length is inside water. The fundamental frequency of the air column now isView Solution
- 10An observer moves towards a stationary source of sound with a velocity equal to one-fifth of the velocity of sound. The percentage change in the frequency will be $\dots \;$%View Solution