The equation `y=a sin 2 pi//lamda (vt -x)` is expression for :-

Check the correctness of the equation y=a"sin"(2pi)/(lamda)(vt-x) using dimensional analysis where y is the displacement of a particle at a distance x from the origin at time t, lamda - wavelength v-wave velocity, a- amplitude.

A transverse wave is represented by the equation y = y_(0) sin (2pi)/(lambda) (vt-x) For what value of lambda is the particle velocity equal to two time the wave velocity ?

A transverse wave is represented by the equation y=y_0sin.(2pi)/(lamda)(vt-x) For what value of lamda , the maximum particle velocity equal to two times the wave velocity?

A transverse wave is described by the equation y= A sin 2 pi (vt - x/lambda) . The maximum particle velocity is equal to four times the wave velocity if