Home
Class 11
PHYSICS
(i) For the wave on a string described i...

(i) For the wave on a string described in `y(x,t)=0.06sin((2pi)/(3))xcos(120pit),` . Do all the points on the string oscillate with the same (a) frequency , (b) phase , (c ) amplitude? Explain your answers. (ii) What is the amplitude of a point 0.375 m away from one end?

Text Solution

Verified by Experts

(a) All the points except the nodes on the string have the same frequency and phase, but not the same amplitude. (b) 0.042m
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 transverse displacement of a string (clamped at its both ends) is given by y(x, t) = 0.06 sin ((2 pi)/(3) x) cos (120 pi t) where x and y are in m and t in s. The length of the string is 1.5 m and its mass is 3.0 xx 10^(-2) kg . Answer the following : (a) Does the function represent a travelling wave or a stationary wave? (b) Interpret the wave as a superposition of two waves travelling in opposite directions. What is the wavelength, frequency , and speed of each wave ? (c ) Determine the tension in the string.

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 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?

The equation of a plane progressive wave is y=10sin2pi(t-0.05x) . Where y and x are in an and t in seconds. Calculate the amplitude, frequency, wavelength and velocity of the wave.

The equation of a wave travelling on a string is y=(0.10mm)sin[3.14m^-1)x+(314s^-1)t] . (a) In which direction does the wave travel ? (b) Find the wave speed, the wavelength and the frequency of the wave. (c) What is the maximum displacement and the maximum speed of a portion of the string ?

A wave travelling along a string is discribed by. y(x,t) = 0.005 sin (80.0 x - 3.0 t) . in which the numerical constants are in SI units (0.005 m, 80.0 rad m^(-1), and 3.0 rad s^(-1)) . Calculate (a) the amplitude, (b) the wavelength, and (c ) the period and frequency of the wave. Also, calculate the displacement y of the wave at a distance x = 30.0 cm and t = 20 s ?

The equation for the vibration of a string, fixed at both ends vibrating in its third harmonic, is given by y = (0.4 cm) sin[(0.314 cm^-1) x] cos[f(600pis^-1)t] .(a) What is the frequency of vibration ? (b) What are the positions of the nodes ? (c) What is the length of the string ? (d) What is the wavelength and the speed of two travelling waves that can interfere to give this vibration ?