Waves Test - 78...

Figure shows two coherent microwave source $$ S_1 and S_2 $$ emitting waves of wavlength $$ \lambda $$ and separated by a distance $$ 3 \lambda $$ For $$ \lambda<< D $$ and $$ y \neq 0 $$ , the minimum value of y point P to be an intensity maximum is 

If two waves, each of intensity $$I_0$$ , having the frequency but differing by a constant phase angle of $$60^o$$ , superimposing at a certain point in space then the intensity of the resultant wave is

A $$4\ kg$$ particle is moving along the x-axis under the action of the force which varies with distance $$'x'$$ given by $$F = -\left (\dfrac {\pi^{2}}{16}\right )x$$ newton. At $$t = 2\sec$$, the particle passes through the origin and at $$t = 10\sec$$, its speed is $$4\sqrt {2}m/s$$. The amplitude of the motion is

If the frequency of ac is $$60\ Hz$$ the time difference corresponding to a phase difference of $${ 60 }^{ \circ  }$$ is 

The distance between two particles in a wave motion vibrating out of phase of $$\pi $$ radians is:

A particle is performing SHM with its position given as X=2+5 $$sin\left( \pi t\dfrac { \pi  }{ 6 }  \right) $$ where x (in m) & t (in sec). Which of the following is/ are correct :-

Elastic waves in solids are

Figure shows a snapshot for a travelling sine wave along a string. Four elemental portion a,b,c and d are indicated on the string. The elemental portion which has maximum potential energy is/are

The path difference two waves $${ y }_{ 1 }={ a }_{ 1 }$$ sin $$\left( \omega t-\dfrac { 2\pi x }{ \lambda  }  \right) $$ and $${ y }_{ 2 }={ a }_{ 2 }$$ cos$$\left( \omega t=\dfrac { 2xy }{ \lambda  }  \right) is$$

Two particle execute $$SHM$$ of the same amplitude and frequency along the same straight line. If they pass one another when going in opposite direction, each time displacement is $${ 1 }/{ \sqrt { 2 }  }$$ times their amplitude, the phase difference between them is