Two Travelling Waves                        And                 Are Superposed On A String. The Distance Between Adjacent Nodes Is

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

Question

 

Two travelling waves

                      

and                

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

Solution

Correct option is

 

Distance between adjacent nodes (or antinodes) = λ/2. Also

          = coefficient of x in the argument of the sine function = k

. Hence, the distance between adjacent nodes 

SIMILAR QUESTIONS

Q1

A tuning fork and a sonometer wire sounded together produce 4 beats per second when the length of the wire is 95 cm or 100 cm. the frequency of the turning fork is

Q2

An object producing a sound of frequency 400 Hz approaches a stationary person with a speed of 200 ms–1. The speed of sound is 300 ms–1. As the object flies past him, the person will note a change in frequency of  

Q3

 

The frequency of the sound of a car horn as received by an observer towards whom the car is moving differs from the frequency of the horn by 2.5%. If the speed of sound in air is

320 ms–1, the speed of the car is

Q4

A cylindrical tube, open at both ends, has a fundamental frequency V in air. The tube is dipped vertically in water so that half of it is inside water. The fundamental frequency of the air column now is

Q5

The intensity of a sound wave falls by 10% in travelling a distance of 1 metre in a medium. If the initial intensity of the sound wave was 100 decibels, its value after it passes through 3 metres thickness of the medium will be

Q6

A tube closed at one end containing air, produces, when excited, the fundamental note of frequency 512 Hz. If the tube is open at both ends, the fundamental frequency that can be excited in (in Hz)

Q7

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

Q8

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

Q9

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

Q10

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