Waves Test - 37...

An SHM is represented by $$x=5\sqrt{2}(sin\, 2\pi t+cos\, 2\pi t)$$. The amplitude of the SHM is:

A pulse of a wave train travels along a stretched string and reaches the fixed end of the string. It will be reflected back with :

The amplitude of two waves are in ratio 5 : 2. If all other conditions for the two waves are same, then what is the ratio of their energy densities?

A progressive wave of frequency $$500\  Hz$$ is travelling with a speed of $$330\  m/s$$ in air. The distance between the two points which have a phase difference of $$\displaystyle { 30 }^{ \circ  }$$ is:

The displacement of a particle varies according to the relation $$x=4(\cos {\pi t}+\sin {\pi t})$$. The amplitude of the particle is:

If two waves of same frequency and amplitude respectively on superposition produce a resultant disturbance of the same amplitude, the wave differ in phase by :

Two progressive waves having equation $$x_{1} = 3\sin \omega \tau$$ and $$x_{2} = 4\sin (\omega \tau = 90^{\circ})$$ are super imposed. The amplitude of the resultant wave is

In a medium in which, a transverse progressive wave travelling, the phase difference between the points with a separation of $$1.25\  cm$$ is $$\displaystyle { \pi  }/{ 4 }$$. If the frequency of wave $$1000\  Hz$$, the velocity in the medium is :

Five sinusoidal waves have the same frequency $$500Hz$$ but their amplitudes are in the ratio $$2:\cfrac{1}{2}:\cfrac{1}{2}:1:1$$ and their phase angles $$0,\cfrac{\pi}{6},\cfrac{\pi}{3},\cfrac{\pi}{2}$$ and $$\pi$$ respectively. The phase angle of resultant wave obtained by the superposition of these five waves is:

If n represents the order of a half period zone the area of this zone is approximately proportional to $$n^{m}$$ where m is equal to