You visited us 7 times! Enjoying our articles? Unlock Full Access!

SHM

The amplitude...

Question

The amplitude, speed and frequency of a plane progressive wave are respectively 0.05 m,333 m/s, and 110 Hz. Write the equation of the wave.

y = 0.05 s i n 110 (t - \frac{x}{333})

No worries! We‘ve got your back. Try BYJU‘S free classes today!

y = 0.05 s i n 110 π (t - \frac{x}{333})

No worries! We‘ve got your back. Try BYJU‘S free classes today!

y = 0.05 s i n 220 (t - \frac{x}{333})

No worries! We‘ve got your back. Try BYJU‘S free classes today!

y = 0.05 s i n 220 π (t - \frac{x}{333})

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $y = 0.05 s i n 220 π (t - \frac{x}{333})$
Here, $A = 0.05 m, v = 333 m / s, f = 110 H z$
So, $ω = 2 π f = 220 π$
Equation of wave, $y = A s i n ω (t - \frac{x}{v}) = 0.05 s i n 220 π (t - \frac{x}{333})$

Suggest Corrections

Similar questions

Q. The equation for a wave propagating with a velocity of 330 m/s and having a frequency of 110 Hz and amplitude 0.05 m is

Q. A plane progressive wave is given by

y = 25 cos (2 π t - π x)

Then the amplitude and frequency are respectively

Small amplitude progressive wave in a stretched string has a speed of 100 cm/s, and frequency 100 Hz. The phase difference between two points 2.75 cm apart on the string in radians, is

Q. A plane progressive wave is represented by the equation

y = 0.25 cos (2 π t - π x)

. The equation of a wave with double the amplitude and half the frequency but travelling in the opposite direction will be

Q. the equation of a progressive wave is given by

y = 5

sin

(100 π t - 0.4 π x)

where

y

and

x

are in

m

and

t

is in

s

.
(1) The amplitude of the wave is

5

m

.
(2) The wavelength of the wave is

5

m

.
(3) The frequency of the wave is

50

H z

.
(4) The velocity of the wave is

250

m / s

Which of the following statement are correct?

Join BYJU'S Learning Program

The amplitude, speed and frequency of a plane progressive wave are respectively 0.05 m,333 m/s, and 110 Hz. Write the equation of the wave.

The correct option is D y=0.05 sin 220π(t−x333)Here, A=0.05 m, v=333 m/s, f=110 Hz So, ω=2πf=220π Equation of wave, y=A sinω(t−xv)=0.05 sin 220π(t−x333)

The correct option is D $y = 0.05 s i n 220 π (t - \frac{x}{333})$
Here, $A = 0.05 m, v = 333 m / s, f = 110 H z$
So, $ω = 2 π f = 220 π$
Equation of wave, $y = A s i n ω (t - \frac{x}{v}) = 0.05 s i n 220 π (t - \frac{x}{333})$