Home
Class 11
PHYSICS
A transverse harmonic wave on a string i...

A transverse harmonic wave on a string is described by `y(x,t) = 3.0 sin (36 t + 0.018x + pi//4)` where x and y are in cm and t in s. The positive direction of x is from left to right
(a) Is this a travelling wave or a stationary wave?
If it is travelling what are the speed and direction of its propagation?
(b) What are its amplitude and frequency?
(c ) What is the initial phase at the origin ?
(d) What is the least distance between two successive crests in the wave?

Text Solution

Verified by Experts

(a) A travelling wave. It travels from right to left with a speed of `20 ms^(-1)`
(b) 3.0cm, 5.7Hz
(c ) `pi//4`
(d) 3.5m
Promotional Banner

Topper's Solved these Questions

  • WAVES

    NCERT TAMIL|Exercise EXAMPLE|41 Videos

  • WAVES

    NCERT TAMIL|Exercise EVALUATION(I. MULTIPLE CHOICE QUESTIONS)|15 Videos

  • UNITS AND MEASUREMENT

    NCERT TAMIL|Exercise EXERCISE (ADDITIONAL EXERCISE)|9 Videos

  • WORK, ENERGY AND POWER

    NCERT TAMIL|Exercise EXERCISE - IV. NUMERICAL PROBLEMS|5 Videos

Similar Questions

Explore conceptually related problems

The wave described by y = 0.25 sin (10pix - 2pif) , where x and y are in metres and t in seconds, is a wave travelling along the:

The equation of a wave moving on string y = 8 sin {pi (0.002 x - 4t)} where x , y are in centimeter and t in seconds . The velocity of the wave is ……… .

The equation of a transverse wave is given by y = 10 sin {pi (0.01 x - 2t)} where y and x are in cm and t is in seconds. Its frequency is ………..

A transvrs wave propagating along x-axis is represented by y(x,t) =80.. Sin (0.5 pi x-4pi t-(pi)/(4)) . Where x is in metress and t is seconds. The speed of the wave is :

The equation of a wave travelling on a string is y = 4 sin {(pi)/(2) (8 t - (x)/(8)) } , where x , y are in cm and t in seconds . The velocity of the waves is ……….. .

A travelling harmonic wave on a string is described by y(x,t) = 7.5 sin (0.005 x + 12t+ pi//4) (a) what are the displacement and velocity of oscillation of a point at x=1 cm, and t=1s? Is this velocity equal to the velocity of wave propagation? (b) Locate the points of the string which have the same transverse displacements and velocity as the x=1 cm point at t=2s, 5s and 11s

A wave travels in a medium according to the equation of displacement given by y (x , t) = 0.03 sin {pi (2t - 0.01 x)} where y and x are in metres and t in seconds . The wavelength of the wave is ………. .

The equation of a simple harmonic wave is given y= 5 sin (pi/2(100t -x)) , where x and y are in meter and time is in seconds. The period of the wave in second will be