Given below are some functions of x and ...

Given below are some functions of `x` and `t` to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent `(i)` a travelling wave, `(ii)` a stationary wave or `(iii)` none at all `y = 2 cos (3x) sin (10t)`

Text Solution

Verified by Experts

The correct Answer is:

(a) Stationary wave.
(b) Unacceptable funcation for any wave.
(c) Travelling harmonic wave.
(d) Superposition of two stationary waves.

Topper's Solved these Questions

TRAVELLING WAVES
RESONANCE ENGLISH|Exercise Exercise- 1 PART I|23 Videos
TRAVELLING WAVES
RESONANCE ENGLISH|Exercise Exercise- 1 PART II|30 Videos
TRAVELLING WAVES
RESONANCE ENGLISH|Exercise Solved Miscellaneous Problems|7 Videos
TEST SERIES
RESONANCE ENGLISH|Exercise PHYSICS|130 Videos
WAVE ON STRING
RESONANCE ENGLISH|Exercise Exercise- 3 PART II|7 Videos

Similar Questions

Explore conceptually related problems

Given below are some functions of x and t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a travelling wave, (ii) a stationary wave or (iii) none at all? (a) y=2cos(3x)sin(10t) (b) y=2sqrt(x-vt) (c) y=3sin(5x-0.5t)+4cos(5x-0.5t) (d) y=cosx sint +cos2x sin2t

Given below are some functions of x and t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a travelling wave, (ii) a stationary wave or (iii) none at all? (a) y=2cos(3x)sin(10t) (b) y=3sin(5x-0.5t)+4cos(5x-0.5t) (c) y=cosx sint +cos2x sin2t

which of the following function corrtly represent the traveling wave equation for finite values of x and t ?

Give below are some functions of x and t to represent the displacement of an elastic wave. (i) y=5cos (4x) sin (20t) (ii) y=4sin(5x-t//2)+3cos(5x-t//2) (iii) y=10cos[(252-250)pit]cos[(252+250pit] (iv) y=100cos(100pit+0.5x) State which of these represent (a) a travelling wave along-x direction (b) a stationary wave (c) beats (d) a travelling wave along +x direction Give reasons for your answers.

Figure. Represents the displacement y versus distance x along the direction of propagation of a longitudinal wave. The pressure is maximum at position marked

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

Which of the following equations represent a transverse wave travelling along- y axis ?

Does a travelling wave in one dimension represented by a function of a linear combination of x and t,i.e., y=f(ax+-bt) represented a travelling wave?

RESONANCE ENGLISH-TRAVELLING WAVES-Board Level Exercise

What is the speed of trasverse waves in a wire, when stretched by a we...
Text Solution
|
A steel wire 75cm long has mass of 5.5 10^(-3)kg. If the wire is under...
Text Solution
|
A wave pulse is travelling on a string of linear mass density 6.4xx10^...
Text Solution
|
For steel the Young modulus of elasticity is 2.9 xx 10^(11)Nm^(-2) and...
Text Solution
|
Derive an expression of wave velocity in terms of frequency and wavele...
Text Solution
|
A string of mass 2.50 kg is under a tension of 200 N. The length of th...
Text Solution
|
Derive an expression for the velocity of pulse in a in stretched in st...
Text Solution
|
A transverse hormonic wave on a string on a string is descibed by y(...
Text Solution
|
Define superposition principal ?
Text Solution
|
What are the important effects which arises due to superposition of wa...
Text Solution
|
A stretched wire emits a fundamental note of2 56 Hz. Keeping the stret...
Text Solution
|
Why a stationary wave is called so ?
Text Solution
|
When are stationary waves produced?
Text Solution
|
Give two difference between progressive wave and stationary wave.
Text Solution
|
How the frequency of vibrating wire is affected when the load attached...
Text Solution
|
Given below are some functions of x and t to represent the displacemen...
Text Solution
|
A sonometer wire has a length 114 cm between two fixed ends. Where sho...
Text Solution
|
The transverse displacement of a string (clamped at its ends) is given...
Text Solution
|
One end of a long string of linear mass dnesity 8.0xx10^(-3)kgm^(-1) i...
Text Solution
|
What are stationary waves?
Text Solution
|