Question

 

The equation of a travelling wave is

                                   

Where y is the microns, t in seconds and x in metres. The ratio of the maximum particle velocity and velocity of the wave is

Solution

Correct option is

 

Amplitude A = 60 microns = 60 × 10–6 m. Angular frequency ω = 1800 rad s–1 and wave number . Wave velocity is v = ω/k = 1800/6 = 300 ms–1. Maximum particle velocity

 Therefore,

                  

SIMILAR QUESTIONS

Q1

A weight is attached to the free end of a sonometer wire. Resonance occurs at a length of 40 cm of the wire with a tuning fork of frequency 512 Hz. The weight is then immersed wholly in water, the resonant length is reduced to 30 cm. The relative density of the weight is

Q2

A particle is executing simple harmonic motion along the x-axis with amplitude 4 cm and time period 1.2 s. The minimum time taken by the particle to move from x = +2 cm to x = +4 cm and back again is

Q3

 

Two waves are represented by the following equations:

                   

The ratio of intensities I2/I1 will be

Q4

The velocity of sound in a diatomic gas is 300 ms–1. What is the rms velocity of its molecules?  

Q5

The length of a sonometer wire AB is 100 cm. Where should the two bridges be placed from end A to divide the wire in three segments whose fundamental frequencies are the ratio of 1:2:3?

Q6

A toothed wheel is rotated at 120 r.p.m. A post card is placed against the teeth. How many teeth must the wheel have to produce a note whose pitch is the same as that of a tuning fork of frequency 256 Hz?

Q7

If a spring extend by x on loading, then the energy stored in the spring is (T is the tension in the spring and k its force constant)

Q8

A pulse travels along a stretched string and reaches the fixed end of the string. It will be reflected back with

Q9

At which temperature will the velocity of sound at 27oC become double?

Q10

Due to Doppler effect, the shift in the wavelength observed is 0.1 Å, for a star producing a wavelength 6000 Å. The velocity of recession of the star will be