A sinusoidal progressive wave is generated in a string. It's equation is given by `y = (2mm) sin (2 pi x - 100 pi t + pi//3)` The time when particle at `x = 4 m` first passes through mean position, will be :-

The displacement of a particle is given by x = 3 sin ( 5 pi t) + 4 cos ( 5 pi t) . The amplitude of particle is

A longitudinal progressive wave is given by the equation Y=5*10^(-2)sin pi(400t+x)m .Find the wavelength in metre.

The displacement of a particle from its mean position (in metre) is given by y=0.2 "sin" (10 pi t+ 1.5 pi) "cos" (10 pi t+1.5 pi) The motion of the particle is

The equation of a wave is given as y= 0.07 sin ( 12pi x -3000pi t ), where x is in metre and t is in x,then the correct value is

A particle is executing a motion in which its displacement as a function of time is given by x = 3 sin (5 pi t + pi//3) + cos (5pi + pi//3) where x is in m and t is in s . Then the motion is

A sound wave is travelling in a medium.If equation of displacement wave in the medium is given by y = 2cos ( 2 pi x - 100 pi t + pi/2 ) then equation of pressure waves will be (B rarr Bulk modulus of medium) (А) P = 4B pi sin ( 2 pi x - 100 pi t ) (В) P = 4B pi sin ( 2 pi x + 100 pi t ) (C) P = 4B pi cos ( 2 pi x - 100 pi t ) (D) P = 4B pi cos ( 2 pi x + 100 pi t )

Equation of standing waves in a string under tension T=10N is given by Y=2sin(10 pi x)sin(100 pi t) cm where x is in m and t is in second). Linear mass density of string is