Question

 

The wave equation is 

                       

Where tx and y are in second, metre and centimeter respectively. The speed of the wave is

Solution

Correct option is

200 ms–1

 

Comparing the given equation with

                               

 The speed of the wave is

                              

SIMILAR QUESTIONS

Q1

Two second waves of equal intensity I produce beats. The maximum intensity of sound produced in beats will be

Q2

Two waves of wavelength 2 m and 2.02 m moving with the same speed superpose to produce 2 beats per second. The speed of each wave is

Q3

The potential energy of a particle executing simple harmonic motion at a distance x from the equilibrium position is proportional to

Q4

 

Two travelling waves

                      

and                

are superposed on a string. The distance between adjacent nodes is

Q5

If the amplitude of a sound wave is doubled and its frequency reduced to one-fourth, the intensity of sound at the same point will

Q6

At a certain instant a stationary transverse wave is found to have maximum kinetic energy. The appearance of the string at that instant is a

Q7

 

The displacement y of a particle executing simple harmonic motion is given by 

                                     

The expression may be considered to be a result of the superposition of how many simple harmonic motions?

Q8

A wave of frequency 100 Hz is sent along a string towards a fixed end. When this wave travels back after reflection, a node is formed at a distance of 10 cm from the fixed end of the string. The speed of the incident (or reflected) wave is

Q9

A particle starts simple harmonic motion from the mean position O as shown in the figure. Its amplitude is A and its time period is T. At a certain instant, its speed is half its maximum speed. At this instant, the displacement x is

                                                         

Q10

An observer is standing between two vehicles, each moving with a speed 4 ms–1. One vehicle is approaching him and the other going away from him. If each vehicle is blowing a horn of frequency 240 Hz and the speed of sound is 320 ms–1, the number of beats per second will be