Waves Test - 43...

A string of mass $$m$$ and length $$l$$ is hanging from ceiling as shown in the figure. Wave in string move upward. $$v_{A}$$ and $$v_{B}$$ are the speed of wave at $$A$$ and $$B$$ respectively. Then $$v_{B}$$ is

With propagation of longitudinal waves through a medium, the quantity transmitted is : 

Two simple harmonic motions are represented by
$${ y }_{ 1 }=5\left( \sin { 2\pi t } +\sqrt { 3 } \cos { 2\pi t }  \right) $$
$${ y }_{ 2 }=5\left( \sin { 2\pi t } +\cfrac { \pi  }{ 4 }  \right) $$
The ratio of the amplitude of two S.H.M's is

A particle moves according to the law $$x = r\cos \dfrac {\pi t}{2}$$. The distance covered by it in the time interval between $$t = 0$$ and $$t = 3s$$ is

Two particle executing SHM of same frequency meet at $$x=+A/2$$, while moving in opposite direction. Phase difference between the particles is ($$A \rightarrow$$ Amplitude of both)

Two wires made of the same material, one thick and the other thin, are connected to form a composite wire. The composite wire is subjected to some tension. A wave travelling along the wire crosses the junction point. The characteristic that doesn't undergoes a change at the junction point is

Equations of a stationary wave and a travelling wave are $$y_1=1\,sin(kx)\,cos (\omega t)$$ and $$y_2=a\,sin\,(\omega t-kx)$$.The phase difference between two points $$x_1=\dfrac{\pi}{3k}$$ and $$x_2=\dfrac{3 \pi}{2k}$$ is $$\phi_1$$ for the first wave and $$\phi_2$$ for the second wave.The ratio $$\dfrac{\phi_1}{\phi_2}$$ is

How long after the beginning of motion is the displacement of a harmonically oscillating particle equal to one half its amplitude if the period is $$24\ s$$ and particle starts from rest

A string of length 'l' is fixed at both ends. It is vibrating in its 3^rd overtone with maximum amplitude 'a'.The amplitude at a distance l/3 from one end is?

A particle executes SHM with time period $$T$$ and amplitude $$A$$. The maximum possible average velocity in time $${T}/{4}$$ is: