Home
Class 12
PHYSICS
The transverse displacement of a string ...

The transverse displacement of a string clamped at its both ends is given by
`y(x, t) = 0.06 sin ((2pi)/3 x) cos(l20pit)` 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 xx 10^(-2)` kg. The tension in the string is

A

wavelength, frequency and speed of progressive wave are 3m , 60 Hz and 180 m/s respectively .

B

tension in the string is 648 N

C

amplitude at a distance x=0.375 m is 4.2 cm

D

wavelength , frequency and speed of progressive wave are 3m ,80 Hz and 240 m/s

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Similar Questions

Explore conceptually related problems

The transvers displacement of a string (clamped at its both ends) is given by y(x,t) = 0.06 sin ((2pi)/(3)s) cos (120 pit) Where x and y are in m and t in s . The length of the string 1.5 m and its mass is 3.0 xx 10^(-2) kg . Answer the following : (a) Does the funcation represent a travelling wave or a stational 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 ? Datermine the tension in the string.

The displacement of a string is given by y(x,t)=0.06sin(2pix//3)cos(120pit) where x and y are in m and t in s. The lengthe of the string is 1.5m and its mass is 3.0xx10^(-2)kg.

The transverse displacement of a string (clamped at its two ends ) is given by y(x,t)=0.06sin((2pi)/(3))xcos(120pit) wherer x ,y are in m and t ini s. The length of the string is 1.5m and its mass is 3xx10^(-2) kg. Answer the following: (i) Does the function represent a travelling or a stationary wave ? (ii) Interpret the wave as a superimposition of two waves travelling in opposite directions. What are the wavelength, frequency and speed of propagation of each wave ? (iii) Determing the tension in the string.

The transverse displacement of a string clamped at its both ends is given by y(x,t)=2sin((2pi)/3x)cos(100pit) where x and y are in cm and t is in s. Which of the following statements is correct?

The transverse displacement of a string (clamped at its both ends ) is given by y(x,t)=0.06sin(2pix//3)cos(120pit). All the points on the string between two consecutive nodes vibrate with

(i) The transverse displacement of a string (clamped at its two ends ) is given by y(x,t)=0.06 sin[ (2pi)/(3)x] cos 120pit, where x, y are in m and t is in s. Do all the points on the string oscillate with the same (a) frequency, (b) phase, (c) amplitude ? Explain your answers.

The equation of a transverse wave propagating in a string is given by y = 0.02 sin (x + 30t) where, x and y are in second. If linear density of the string is 1.3 xx 10^(-4)kg//m , then the tension in the string is

The transverse displamcement y(x,t) of a wave y(x,t ) on a string is given by yox, t) = . This represents a

The wave-function for a certain standing wave on a string fixed at both ends is y(x,t) = 0.5 sin (0.025pix) cos500t where x and y are in centimeters and t is seconds. The shortest possible length of the string is :

A transversee wave propagating on the string can be described by the equation y= 2 sin (10 x + 300 t) , where x and y are in metres and t in second. If the vibrating string has linear density of 0.6 xx 10^(-3) g//cm , then the tension in the string is