Waves Test - 48...

Potential energy of a string depends on 

A wave travelling on a string as shown in figure gets reflected at an open boundary. Then,

The equation of an incident wave travelling along +X direction is given by $$y= A sin (2t-5x)$$. This wave gets reflected at a rigid boundary. The equation of the reflected wave is

The equation of a progressive wave is given by $$y=10 sin (5t-x)$$. The wave gets reflected from a open boundary. The equation of the reflected wave is

The total energy per unit length for a travelling wave in a string of mass density $$\mu$$ , whose wave function is $$A(x,t) = f(x \pm vt)$$ is given by: 

Two waves represented by $$y_1=10\sin(2000\pi t)$$ and $$y_2=10\sin (2000 \pi t+\pi /2)$$ are superimposed at any point at a particular instant. The resultant amplitude is?

Kinetic energy per unit length for a particle in a standing wave is zero at:

A travelling wave has an equation of the form $$A(x,t)=f(x+vt)$$. The relation connecting positional derivative with time derivative of the function is:

The angular frequency of a particle in a progressive wave in an elastic medium is $$100\pi\ { rads }^{ -1 }$$ and it is moving with a velocity of $$200{ms}^{-1}$$. The phase difference between two particles separated by a distance of $$20m$$ is:

A string vibrates according to equation $$y=\sin { \cfrac { \pi x }{ 3 }  } \cos { 40\pi t } $$. The potential energy of the string will be zero at times