A simple harmonic wave of amplitude `8` units travels along positive x-axis. At any given instant of time, for a particle at a distance of `10 cm` from the origin, the displacement is `+ 6 units`, and for a particle at a distance of `25 cm` from the origin, the displacement is `+ 4` units. Calculate the wavelength.

A particle starts from the origin with a velocity of 2cm/s and moves along a straight line.If the acceleration of the particle at a distance xcm from the origin be (2x-(3)/(2))(cm)/(s^(2)), find the velocity of the particle at a distance 7cm from the origin.

A simple harmonic wave train of amplitude 1 cm and frequency 100 vibration is travelling along positive x-direction with a velocity ov 15ms^(-1) . Calculate displacement y , the particle velocity and particle acceleration at x=180cm from the origin at t=5 s.

A simple harmonic wave of amplitude "2mm" is travelling along positive x-axis.At a given instant, displacement for two different particles on the wave is 1mm and sqrt(2) mm along positive Y direction.If wave length of wave is 48mm then find minimum separation between positions of the particles (in mm)

The distance of point (-6,8) from the origin is . . . . units.

A simple harmonic wave-train is travelling in a gas in the positive direction of the X-axis.Its amplitude is 2 cm, velocity 45 ms^(-1) and frequency 75 s^(-1) .Write down the equation of the wave Find the displacement of the particle of the medium at a distance of 135 cm from the origin in the direction of the wave at the instant t=3 s.

A particle executes simple harmonic motion with an amplitude of 4cm At the mean position the velocity of the particle is 10 cm/s. distance of the particle from the mean position when its speed 5 cm/s is

A particle executes simple harmonic motion with an amplitude of 4cm At the mean position the velocity of tge particle is 10 earth distance of the particle from the mean position when its speed 5 point is

The equation of a simple harmonic progressive wave is given by y = 4 sin (pi) [ t / 0.02 - x / 75] cm.Find the displacement and velocity of the particle at a distance of 50 cm from the origin and at the instant 0.1 second (all quantities are in c.g.s. units)

A is a point on the positive x-axis at a distance 3 units from the origin and B is a point on the positive y-axis at a distance 4 units from the origin. If P divides AB in the ratio 1 : 2, the coordinates of P are