Tag: waves
Questions Related to waves
The equation of a wave is given by
$ Y\quad =\quad A\quad sin\quad \omega \left( \frac { x }{ v } -k \right) $
Where $ \omega $ is the angular velocity and v is the linear velocity.The dimensions of K is
The equation of a progressive wave is $Y= a sin(200 t-x)$, where x is in meter and t is in second. The velocity of wave is
A wave has a wavelength of 3m. The distance between a crest and adjacent trough is
A source oscillates with a frequency 25 Hz and the wave propagates with 300 m/s. Two points A and B are located at distances 10 m and 16 m away from the source. The phase difference between A and B is
Two simple harmonic motions are represented by the equations
$y _1=10\sin \left(3\pi t+\dfrac{\pi}{4}\right)$
and $y _2=5(3\sin 3\pi t+\sqrt 3 \cos 3\pi t)$ Their amplitudes are in the ratio of :
For the travelling harmonic wave $y(x,t)=2.0 cos $ $ 2\pi $ (10t-0.0080 x+0.35 ) where x and y are in cm and t in s. Calculate the phase difference between oscillatory motion of two points separated by a distance of $x$
Vibrations of period 0.25 s propagate along a straight line at a velocity of 48 cm/s. One second after the emergence of vibrations at the initial point, displacement of the point, 47 cm from it is found to be 3 cm. Then,
A wave travelling in positive X-direction with A = 0.2 m velocity = 360 m/s and $\lambda$= 60 m, then correct expression for the wave is : -
If two waves, each of intensity ${I} _{0}$, having the same frequency but differing by a constant phase angle of ${60}^{o}$, superpose at a certain point in space, then the intensity of resultant wave is: