$A$ small amplitude progressive wave in a stretched string has a speed of $100 \ cm/s$ and a frequency of $100 \ Hz$. The phase difference between two points $2.75 \ cm$ apart on the string,in radians,is

The figure shows a sinusoidal wave at a given instant. Which points are in the same phase?

$A$ travelling harmonic wave is represented by the equation $y(x, t) = 10^{-3} \sin(50t + 2x)$,where $x$ and $y$ are in meters and $t$ is in seconds. Which of the following is a correct statement about the wave?

$A$ wave is represented by the equation: $y = a \sin(0.01x - 2t)$,where $a$ and $x$ are in $cm$. The velocity of propagation of the wave is .... $cm/s$.

$A$ simple wave motion is represented by $y=5(\sin 4 \pi t+\sqrt{3} \cos 4 \pi t)$. Its amplitude is

For a travelling harmonic wave $y(x, t) = 2.0 \cos 2\pi(10 t - 0.0080 x + 0.35)$, where $x$ and $y$ are in $\text{cm}$ and $t$ in $\text{s}$. The phase difference between oscillatory motion of two points separated by a distance of $0.5 \text{ m}$ is: (in $\pi \text{ rad}$)