Waves Test - 49...

If $${y}_{1}=5(mm)]sin{\pi t}$$ and that of $${S}_{2}$$ is $${y}_{2}=5(mm)\sin{(\pi t+\pi /6)}$$. A wave from $${S}_{1}$$ reaches point A in $$1\ sec$$ while a wave from $${S}_{2}$$ reaches point A in $$0.5s$$. The resulting amplitude at point $$A$$ is :-

Displacement time equation of  a particle executing SHM is x=4  sin$$\omega$$t + 3 sin ($$\omega t+ \dfrac{\pi}{3})$$ here x is in centimeter and t is in seconds . The amplitude of oscillation of the particle is approximately:

Two waves of frequencies 20 Hz and 30 Hz travels out from a common point. The phase difference between them after 0.6 sec is

The displacements of two particles executing $$SHM$$ on the same line are given as $$y_{1}=a\sin \left (\dfrac {\pi}{2}t+ \phi \right)$$ and $$y_{2}=b\sin \left (\dfrac {2\pi}{3}t+ \phi \right)$$. The phase difference between them at $$t=1\ s$$ is:

The displacement y of a particle varies with time t as $$y = 4 \sin\omega t\ \cos \omega t $$ cm where t is in seconds. The motion of the particle is

Period of a particle performing S.H.M is 4 s. It starts motion from mean position. After 2/3 s, its velocity is 6.28 cm/s. The amplitude of S.H.M is:

A point source emits sound equally in all directions in a non-absorbing medium. Two points $$P$$ and $$Q$$ are at distance of $$2\ m$$ and $$3\ m$$ respectively from the source. The ratio of the intensities of the wave at $$P$$ and $$Q$$ is:

Two coherent transverse waves of amplitude 2A and A of same frequency propagated respectively along $$+ve$$ and $$-ve$$ x-axis are superimposed. The amplitude of the resultant wave at a distance of 5 cm from the origin,$$(given K = \cfrac{\pi}{4}cm^{-1})$$ is

Two particles $$P$$ and $$Q$$ describe SHM of same amplitude $$a$$ and frequency $$f$$ along the same straight line. The maximum distance between two particles is $$a\sqrt{2}$$. The initial phase difference between the particles is:

Two waves of amplitudes $$A_0$$ and $$xA_0$$pass through a region.If $$x>1$$,what is the difference in the maximum and minimum resultant amplitude is :