﻿   A wave is represented by the equation                                      Where x is in metres and t in seconds. The expression represents : Kaysons Education

# A Wave Is Represented By The Equation                                      Where x is In Metres And t in Seconds. The Expression Represents

#### 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.

#### 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.

## Question

### Solution

Correct option is

A wave travelling the negative x-direction with a velocity of 1.5 ms–1. & A wave travelling in the negative x-direction with a wavelength of 0.2 m

Wave travelling in the positive x-direction is characterized by a function yf (x – vt) and that in the negative x-direction by a function y = f (x + vt). Thus, the given wave is travelling in the negative x-direction. The wavelength of the wave is given by

coefficient of x in the argument of the sine function = 10π

Therefore, λ = 0.2 m. The wave velocity is given by

coefficient of t in the argument of the since function = 15π

Which gives,    v = 7.5 λ = 7.5 × 0.2 = 1.5 ms–1.

Testing

#### SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

A transverse wave is represented by

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

Q4

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?

Q5

A mass m is suspended from a spring of negligible mass. The system oscillates with frequency n. What will be the frequency if a mass 4 m is suspended from the same spring?

Q6

In a sinusoidal wave, the time required for a particular point to move from maximum displacement to zero displacement is 0.17s. The frequency of the wave is

Q7

The kinetic energy of a particle executing S.H.M. is 16 J, when it is at its mean position. If the amplitude of oscillation is 25 cm and the mass of the particle is 5.12 kg, the time period of oscillation is

Q8

A standing wave having 3 nodes and 2 antinodes is formed between two atoms having a separation of 1.21 Å between them. The wavelength of the standing wave is

Q9

A body is executing S.H.M. with angular frequency 2 rad s–1. If the amplitude of the motion is 60 mm, the velocity of the body at 20 mm displacement is

Q10

A stretched string of length 1 m, fixed at both ends, having a mass of  kg is under a tension of 20 N. It is plucked at a point situated at 25 cm from one end. The string would vibrate with a frequency of