Waves Test - 53...

A simple harmonic oscillation is represented by the equation y $$= 0.4 sin \left ( \frac{440t}{7}+0.61x \right )$$. Where 'Y' and 'X' are in m and time 't' in seconds respectively. The value of time period in seconds

If a body of mass 36gm moves with S.H.M of amplitude A =13 cm and period T= 12 sec. At a time t= ) the displacement is x = +13 cm.The shortest time of passage from x = +6.5 cm to x = -6.5 is:

Three waveforms travelling along a straight line have the forms:
$$2A\sin \left (kx - \omega t + \dfrac {\pi}{3}\right ), \sqrt {3}A \cos \left (kx - \omega t - \dfrac {\pi}{3}\right ), 2\sqrt {3} \cos \left (kx - \omega t + \dfrac {\pi}{3}\right )$$. The amplitude of the resulting waveform is :

Two waves having equation $$x _ { 1 } = a \sin \left( \omega t + \phi _ { 1 } \right)$$ and $$x _ { 2 } = a \sin \left( \omega t + \phi _ { 2 } \right)$$ If in the resultant wave the frequency and amplitude remains equals to amplitude of superimposing waves. Then phase difference between them-

Three simple harmonic motions in the same direction having the same amplitude A and same period are superposed. If each differs in phase from the next by $$45^0$$, then

Two waves $$E _ { 1 } = E _ { 0 } \sin \omega t$$  and $$E _ { 2 } = E _ { 0 } \sin ( \omega t + 60 )$$ superimpose each other. Find out initial phase of resultant wave?

Two particles are executing simple harmonic motion of the same amplitude $$A$$ and frequency $$\omega$$ along the $$x-axis.$$ Their mean position is separated by distance $$X_0(X_0 > A)$$. If the maximum separation between them is $$(X_0 + A ),$$ the phase difference between their motion is :-

Two $$SHMs$$ are given by $$Y_{1}= a\left[ \sin { \left( \dfrac { \pi  }{ 2 }  \right)  } t+\varphi  \right]$$ and $$Y_{2}= b\sin { \left[ \left( \dfrac { 2\pi t }{ 3 }  \right) +\varphi  \right]  }$$ . The phase difference between these two after $$'1'\ sec$$ is:

The distance between two consecutive crests in a wave train produced in string is 5 m. If two complete waves pass through any point per second, the velocity of wave is:

A body is on a rough horizontal surface which is moving horizontally in $$SHM$$ of frequency $$2\ Hz$$. The coefficient of static friction between the body and the surface is $$0.5$$. The maximum value of the amplitude for which the body will not slip along the surface is approximately