The distance between the crest and trough of a transverse wave is $15 \, cm$. What is the velocity of the wave if its frequency is $1000 \, Hz$?
$300 \, m \, s^{-1}$ In a transverse wave, the distance between a crest and the consecutive trough is equal to half of the wavelength $(\lambda/2)$.
Given, $\lambda/2 = 15 \, cm$.
Therefore, the wavelength $\lambda = 2 \times 15 = 30 \, cm = 0.3 \, m$.
The frequency $f = 1000 \, Hz$.
The velocity of the wave $V$ is given by the formula $V = f \times \lambda$.
Substituting the values, $V = 1000 \times 0.3 = 300 \, m \, s^{-1}$.
Given, $\lambda/2 = 15 \, cm$.
Therefore, the wavelength $\lambda = 2 \times 15 = 30 \, cm = 0.3 \, m$.
The frequency $f = 1000 \, Hz$.
The velocity of the wave $V$ is given by the formula $V = f \times \lambda$.
Substituting the values, $V = 1000 \times 0.3 = 300 \, m \, s^{-1}$.
Explore More
Similar Questions
State whether the following statement is true or false: The velocity of sound in air is higher for higher frequencies than for lower frequencies.
Easy
View Solution$(i)$ Even if a loud explosion were to take place at any place on the moon,it would not be heard at a nearby point. Give reason.
$(ii)$ Explain in brief the dependence of speed of sound on the nature of the material medium and temperature.
$(iii)$ Identify the two factors on which the loudness of sound depends.
$(ii)$ Explain in brief the dependence of speed of sound on the nature of the material medium and temperature.
$(iii)$ Identify the two factors on which the loudness of sound depends.
Medium
View SolutionGive two applications of ultrasound.
Easy
View Solution$(a)$ Why are sound waves called mechanical waves? List two practical applications of reflection of these waves.
$(b)$ $A$ stone is dropped from the top of a tower $125 \ m$ high into a pond of water at the base of the tower. When is the splash heard at the top? $(g = 10 \ m s^{-2}$ and speed of sound $= 340 \ m s^{-1})$
$(b)$ $A$ stone is dropped from the top of a tower $125 \ m$ high into a pond of water at the base of the tower. When is the splash heard at the top? $(g = 10 \ m s^{-2}$ and speed of sound $= 340 \ m s^{-1})$
Medium
View SolutionState the relationship between frequency and time period of a wave. The wavelength of vibrations produced on the surface of water is $2 \, cm$. If the wave velocity is $16 \, m s^{-1}$, find its frequency and time period.
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo