Waves Test - 70...

A man $$x$$ can hear only upto $$10 kHz$$ and another man y upto $$20 Hz$$. A note of frequency $$500 Hz$$ is produced before them from a stretched string. Then

In a plane progressive wave given by $$y= 25 \cos \left (2\pi t - \pi x \right )$$, the amplitude and frequency are respectively                              [BCECE 2003]

The phase difference between the two particles situated on both the side of a node is

Three waves of equal frequency having amplitudes $$10 \mu m, 4 \mu m$$ and $$7 \mu m$$  arrive at a given point with successive phase difference of $$\dfrac{\pi}{2}$$ The amplitude of the resulting wave in $$\mu m$$is given by 

When a longitudinal wave propagates through a medium, the particles of the medium execute simple harmonic oscillations about their mean positions. These oscillations of a particle are characterised by an invariant           [SCRA 1998]

Two waves having sinusoidal waveforms have different wavelengths and different amplitude. They will be having

A transverse progressive wave on a stretched string has a velocity of $$10ms^{-1}$$ and a frequency of 100 Hz. The phase difference between two particles of the string which are 23 cm apart will be

Equation of motion in the same direction are given by 
$$y_1 = 2a \sin \left (\omega t - kx  \right )$$ and $$y_1 = 2a \sin \left (\omega t - kx - \theta \right )$$
The amplitude of the medium particle will be    [CPMT 2004]

In a wave, the path difference corresponding to a phase difference of $$\phi$$ is

Given in the graph above, the points $$A, B, C, D$$ represents state of vibration of a sound wave. From the below-mentioned options which represent the wavelength.