Define the relation between velocity, wavelength and frequency of wave

1.	Define the relation between velocity, wavelength and frequency of wave.
Answer» i. A wave covers a distance equal to the wavelength (λ) during one period (T). Therefore, the magnitude of the velocity (v) is given by, Magnitude of velocity = Distance covered/Corresponding time ii. v = 22/7 i.e., v = λ × (1/T) .....(1) iii. But reciprocal of the period is equal to the frequency (n) of the waves. ∴ 1/T = n ......(2) iv. From equations (1) and (2), we get v = nλ i.e., wave velocity = frequency × wavelength.

Define the relation between velocity, wavelength and frequency of wave.

Answer»

i. A wave covers a distance equal to the wavelength (λ) during one period (T).

Therefore, the magnitude of the velocity (v) is given by,

Magnitude of velocity = Distance covered/Corresponding time

ii. v = 22/7 i.e., v = λ × (1/T) .....(1)

iii. But reciprocal of the period is equal to the frequency (n) of the waves.

∴ 1/T = n ......(2)

iv. From equations (1) and (2), we get v = nλ

i.e., wave velocity = frequency × wavelength.

Discussion

No Comment Found

Related InterviewSolutions

Two children are at opposite ends of an aluminium rod. One strikes the end of the rod with a stone. Find the ratio of times taken by the sound wave in air and in aluminium to reach the second child.
To detect the obstacles in their path, bats produce:(a) infrasonic waves (b) ultrasonic waves(c) electromagnetic waves (d) radio waves
How do bats avoid obstacles in their way, when in flight?
Fill in the blanks:i. Bats detect the obstacles in their path by receiving the reflected ………….. .ii. An object that moves back and forth is called ……………. .iii. If the length of a pendulum is increased the time period of oscillation ………………. .iv. The …………… of a wave is the maximum distance moved by the object on either side of the mean position.v. Sound waves do not travel through ……………… .
A student is given an iron cube of side 1cm, a measuring cylinder of range 100 mL and least count 1 mL, and a spring balance of range 100g wt and least count 1g wt. He can use these to measure:A. both the mass and the volume of the given iron cubeB. neither the mass nor the volume of the given iron cubeC. only the mass of the given iron cube but not its volumeD. only the volume of the given iron cube but not its mass
Explain how does a sound making object differ from one that is silent.
A wire stretched between two fixed supports, is plucked exactly in the middle and then released. It executes (neglect the resistance of the medium):(a) resonant vibrations (b) free vibrations(c) damped vibrations (d) forced vibrations
A stringed musical instrument, such as the Sitar, is provided with a number of wires of different thicknesses. Explain the reason for this.
Why is a loud sound heard at resonance?
If an observer places his ear at the end of a long pipe, he can hear two distinct echoes when the pipe is hammered at the other end. Explain.

Define the relation between velocity, wavelength and frequency of wave.

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment