Question

 

A transverse wave is represented by 

                   

For what value of λ is the maximum particle velocity equal to twice the wave velocity?

Solution

Correct option is

 

Wave velocity = v. Particle velocity is 

                

Which gives λ = πy0.

SIMILAR QUESTIONS

Q1

 

Two travelling waves

                      

and                

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

Q2

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

Q3

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

Q4

 

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?

Q5

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

Q6

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

                                                         

Q7

 

The wave equation is 

                       

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

Q8

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

Q9

A spring is extended by a length l, the according to Hooke’s law

Q10

A pendulum clock keeps correct time at 20oC. The coefficient of linear expansion of pendulum is . If the room temperature increases to 40oC, how many seconds will the clock lose or gain per day?