Tag: from moving to stationary

Questions Related to from moving to stationary

The equation of a stationary wave is given by $ y= 5cos \frac { \pi x }{ 3 }  sin 40 \pi t $. where y and x are given cm and time t in second then the amplitude of the progressive wave is

physics stationary waves formation of stationary waves stationary waves and its graphical representation standing waves in strings from moving to stationary stationary (or standing) waves

  1. $2.5 cm$

  2. $10 cm$

  3. $5 cm$

  4. $7.5 cm$

Show answer
Correct Option: A

The equation of progressive wave travelling along positive direction of x-axis having an amplitude of $0.04\ m$, frequency $440\ Hz$ and wave velocity $330 m/s$ is

physics stationary waves formation of stationary waves stationary waves and its graphical representation standing waves in strings from moving to stationary stationary (or standing) waves

  1. $y = 0.04\sin 2\pi \left (440t - \dfrac {4x}{3}\right )$

  2. $y = 0.04\cos 2\pi \left (440t - \dfrac {3x}{4}\right )$

  3. $y = 0.04\sin 2\pi \left (440t + \dfrac {4x}{3}\right )$

  4. $y = 0.04\cos 2\pi \left (440t + \dfrac {4x}{3}\right )$

Show answer
Correct Option: C

In a stationary wave

physics stationary waves formation of stationary waves stationary waves and its graphical representation standing waves in strings from moving to stationary stationary (or standing) waves

  1. Strain is maximum at nodes

  2. amplitude is minimum at nodes

  3. Strain is maximum at antinodes

  4. Amplitude is zero at all points

Show answer
Correct Option: B

The frequency of plane progressive wave is $100$ Hz. After how much time the same point will be $90^o$ out of phase?

physics stationary waves formation of stationary waves stationary waves and its graphical representation standing waves in strings from moving to stationary stationary (or standing) waves

  1. $2.5\times 0^{-3}s$.

  2. $3.5\times 0^{-3}s$.

  3. $4.5\times 0^{-3}s$.

  4. $5.5\times 0^{-3}s$.

Show answer
Correct Option: A
Explanation:

$w=2\Pi f$

where f is frequency of wave
Phase angle, $\theta wt$
$90^{\circ}=2\Pi ft$

$t=\dfrac{\Pi }{2\times 2\Pi f}$

$t=\dfrac{1}{4\times 100} $sec

$t=2.5\times 10^{-3}$ sec

Progressive wave are waves originating from a source such that they never return to the source.

physics stationary waves formation of stationary waves stationary waves and its graphical representation standing waves in strings from moving to stationary stationary (or standing) waves

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

progressive waves are waves after generation from the source the keep on propagating on the direction of propagation .

so the answer is A.

The equation, $Y=0.02 sin (500 \pi t) cos(4.5x)$ represents

physics stationary waves formation of stationary waves stationary waves and its graphical representation standing waves in strings from moving to stationary stationary (or standing) waves

  1. progressive wave of frequency 250 Hz along x-axis

  2. a stationary wave of wavelength 1.4 m

  3. a transverse progressive wave of amplitude 0.02 m

  4. progressive wave of speed of about $350ms^{-1} $

Show answer
Correct Option: B
Explanation:

Comparing the given wave equation with standard standing wave equation
$y (x, t) = A \sin (\omega t)\cos (kx)$, 


we get, $k =4.5$

$k = \dfrac{2\pi}{\lambda}$

$\Rightarrow \lambda = \dfrac{2\pi}{k} =1.4$ $m$

The equation of a progressive wave is $y=4\,sin(4\pi t-0.04x+\dfrac{\pi}{3})$ where x is in metre and t is in second. The velocity of the wave is

physics stationary waves formation of stationary waves stationary waves and its graphical representation standing waves in strings from moving to stationary stationary (or standing) waves

  1. $100\pi\,m/s$

  2. $50\pi\,m/s$

  3. $25\pi\,m/s$

  4. $\pi\,m/s$

Show answer
Correct Option: A
Explanation:

The equation of the progressive wave is given as, $y=4\,sin(4\pi t-0.04x+\dfrac{\pi}{3})$.

The velocity of the wave would be equal to

$\dfrac{\omega}{k}=\dfrac{4\pi}{0.04}=100\pi\;m/s$

Which of the following statements are correct?

physics stationary waves formation of stationary waves stationary waves and its graphical representation standing waves in strings from moving to stationary stationary (or standing) waves

  1. A wave front is a locus of points vibratig in same phase

  2. Wavelength is separation between two consecutive points vibrating in same phase

  3. For two sources to be coherent their frequencies must be same

  4. All of the above statements are correct.

Show answer
Correct Option: D

In a stationary wave, 

physics superposition of waves-2: stationary (standing) waves: vibrations of air columns from moving to stationary stationary (or standing) waves formation of stationary waves

  1. Phase is same at all points in a loop

  2. Amplitude is same at all points

  3. Energy is constant at all points

  4. Temperature is same at all points

Show answer
Correct Option: A
Explanation:

Let two waves be $y _1=A \sin\ (wt-kx)$
$y _2=A \sin\ (wt+kx)$
$y=y _1+y _2$
$=(2A \cos\ kx)\sin\ wt.$ 
For all point in one loop i.e as $x$ varies in $2A \cos k x$, the phase is same. The phase changes only after crossing a node.

Standing waves can be produced in.

physics superposition of waves-2: stationary (standing) waves: vibrations of air columns from moving to stationary stationary (or standing) waves formation of stationary waves

  1. Solid only

  2. Liquid only

  3. Gases only

  4. All of the above

Show answer
Correct Option: A
Explanation:

Standing wave produces when two waves of identical frequency interfere with one another while travelling in opposite directions and this coincidence directions and this coincidence is not possible in fluids or gases.