Given below are some functions of x and t to represent the displacement of an elastic wave.
`y=10cos[(252-250)pit]cos[(252+250)pit]`

Given below are some functions of x and t to represent the displacement of an elastic wave. y=4 cos (5x-t/2)+3 cos (5x-t/2). State which of these represent (a) a travelling wave along (−x) direction (b) a stationary wave (c) beats (c) a travelling wave along (+x) direction. Give reasons for the answers.

Given below are some functions of x and t to represent the displacement of an elastic wave. y=100cos(100pit+0.5x) State which of these represent a travelling wave along -x direction a stationary wave beats a travelling wave along +_(x) directions. Given reason for your answers.

Given below are some functions of x and t to represent the displacement of an elastic wave. y= 5 cos (4x) sin (20t) State which of these represent (a) a travelling wave along (−x) direction (b) a stationary wave (c) beats (c) a travelling wave along (+x) direction. Give reasons for the answers.

Given below are some functions of xand t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a travelling wave, (ii) a stationary wave or (iii) none at all: y = cos x sin t+cos 2x sin 2t.

Given below are some functions of xand t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a travelling wave, (ii) a stationary wave or (iii) none at all: y = 2cos (3x)sin(10t)

Given below are some functions of xand t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a travelling wave, (ii) a stationary wave or (iii) none at all: y = 3 sin (5x-0.5t)+4cos(5x-0.5t)

Given below are some functions of xand t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a travelling wave, (ii) a stationary wave or (iii) none at all: y = 2sqrt(x-vt) .

Differentiate w.r.t. x the function : cos(acosx+bsinx) , for some constant a and b.

A book with many printing errors contains four different formulas for the displacement y of a particle undergoing a certain periodic motion :- y=(asqrt2)(sin2pit//T+cos2pit//T) (a = maximum displacement of the particle, v = speed of the particle. T= time-period of motion). Rule out the wrong formulas on dimensional grounds.

Find the equations of the tangent and the normal to the following curves at the given point: x = sin 3t, y = cos 2 t at t = pi/4