Question

 

A progressive wave in a medium is represented by the equation 

                            

Where y and x are in cm and t in seconds. The maximum speed of a particle of the medium due to the wave is

Solution

Correct option is

 

The speed of particle is given by   

                  

SIMILAR QUESTIONS

Q1

A source of sound vibrates according to the equation y = 0.05 cos π t. It sends waves of velocity 1.5 ms –1. The wavelength of the waves is    

Q2

Two identical waves, each of frequency 10 Hz, are travelling in opposite directions in a medium with a speed of 20 cm s–1. The distance between adjacent nodes is

Q3

Figure shows the shape of part of a long string in which transverse waves are produced by attaching one end of the string to tuning fork of frequency 250 Hz. What is the velocity of the waves?

                                                  

Q4

 

Particle displacements (in cm) in a standing wave are given by 

                     

The distance between a node and the next anti-node is

Q5

If Young’s modulus of the material of a rod is  and its density is 8000 kg m–3, the time taken by a sound wave to traverse 1 m of the rod will be 

Q6

An observer moves towards a stationary source of sound with a velocity one-tenth the velocity of sound. The apparent increase in frequency is

Q7

A stone hangs from the free end of a sonometer wire whose vibrating length, when tuned to a tuning fork, is 40 cm. When the stone hangs wholly immersed in water, the resonant length is reduced to 30 cm. The relative density of the stone is

Q8

A cylindrical tube, open at both ends, has fundamental frequency n. If one of the ends is closed, the fundamental frequency will become

Q9

Two loudspeakers A and B, 1.0 m apart, produce sound waves of the same wavelength and in the same phase. A sensitive sound detector, moving along PQ, parallel to line AB, 2.4 m away, detects maximum sound at P (on the perpendicular bisector of AB) another maximum sound when it first reaches Q directly opposite to B, as shown in fig. What is the wavelength of sound emitted by the speakers?

                                             

Q10

A tuning fork of frequency 340 Hz is sounded above a cylindrical tube 1 m high. Water is slowly poured into the tube. If the speed of sound is 340 ms–1, at what levels of water in the tube will the sound of the fork be appreciably intensified?