The equation of stationary wave along a ...

The equation of stationary wave along a stretched string is given by `y=5 sin ((pix)/(3)) cos 40 pi t `, where x and y are in cm and t in second. The separation between two adjacent nodes is

Text Solution

Verified by Experts

The correct Answer is:

3 cm

Topper's Solved these Questions

SUPERPOSITION AND STANDING WAVES
CENGAGE PHYSICS|Exercise Subjective Type|1 Videos
SUPERPOSITION AND STANDING WAVES
CENGAGE PHYSICS|Exercise Comprehension Type|5 Videos
SUPERPOSITION AND STANDING WAVES
CENGAGE PHYSICS|Exercise Single Correct Answer Type|56 Videos
SOUND WAVES AND DOPPLER EFFECT
CENGAGE PHYSICS|Exercise Integer|16 Videos
THERMODYNAMICS
CENGAGE PHYSICS|Exercise 24|1 Videos

Similar Questions

Explore conceptually related problems

The equation of stationary wave along a stretched string is given by y = 5 sin(pi x)/(3) cos 40pi t where x and y are in centimetre and t in second. The separation between two adjacent nodes is :

The equation of a stationary wave along a stretched string is given by y = 4 sin frac{2pi"x"}{3} cos 4Opit where, x and y are in cms and t is in sec. The separation between two adjacent nodes is

The equation of standing wave in a stretched string is given by {y =2sin [pi /2 (x)] cos(20 pi t)} where x and y are in meter and t is in second. Then minimum separation between two particle which are at the antinodes and having same phase will be

A string vibrates according to the equation y=5 sin ((2 pi x)/(3)) cos 20 pi t , where x and y are in cm and t in sec . The distance between two adjacent nodes is

A standing wave is given by y=5"sin" (pi x)/(20) cos 40 pit , where x and y are in cm and t is in second. What is the minimum distance between a node and the adjacent antinode ?

The equation of a wave travelling on a stretched string is y = 4 sin 2 pi ((t)/(0.02)-(x)/(100)) Here, x and y are in cm and t is in second. The speed of wave is

The equation of a stationary wave is given by y=6sin(pi)//(x)cos40pit Where y and x are given in cm and time t in second. Then the amplitude of progressive wave is

CENGAGE PHYSICS-SUPERPOSITION AND STANDING WAVES-Fill in the Blanks Type

Vibrating tuning fork of frequency n is placed near the open end of a ...
Text Solution
|
If the ratio of amplitude of two waves is 4:3, then the ratio of maxim...
Text Solution
|
The equation of stationary wave along a stretched string is given by ...
Text Solution
|
A standing wave having 3 nodes and 2 antinodes is formed between two a...
Text Solution
|
In stationary waves, distance between a node and its nearest antinode ...
Text Solution
|
A standing wave is represented by Y = A sin (100t) cos (0.01x) where...
Text Solution
|
A wave of frequency 100 Hz is sent along a string towards a fixed end....
Text Solution
|
A 1 cm long string vibrates with fundamental frequency of 256 Hz . If ...
Text Solution
|
Stationary waves are produced in 10 m long stretched string. If the st...
Text Solution
|
The velocity of waves in a string fixed at both ends is 2 m / s . The ...
Text Solution
|
A stretched string of length 1 m fixed at both ends , having a mass o...
Text Solution
|
Two identical sonometer wires have a fundamental frequency of 500 Hz w...
Text Solution
|
The linear density of a vibrating string is 10^(-4) kg//m. A transvers...
Text Solution
|
Four wires of identical lengths, diameters and materials are stretched...
Text Solution
|
The fundamental frequency of a sonometre wire is n . If its radius is ...
Text Solution
|
Two uniform strings A and B made of steel are made to vibrate under th...
Text Solution
|
If you set up the seventh harmonic on a string fixed at both ends, how...
Text Solution
|
A tube, closed at one end and containing air, produces, when excited, ...
Text Solution
|
A closed organ pipe and an open organ pipe have their first overtones ...
Text Solution
|
If the velocity of sound in air is 336 m/s. The maximum length of a cl...
Text Solution
|