Ex11 : The equation of a simple harmonic progressive wave is Y = 4 sin 2n %3D 0.002 35 where x and y are in cm and t in second. Calculate (1) frequency (2) wave length and (3 period of the wave.
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- 1. A certain transverse wave is describe by y(x, t) = (6.50 mm) cos 2n \28.0 cm (b) angular frequency 0.0360 s/ Determine the wave's (a) amplitude , (d) wavelength (c) angular wave number , (e) wave speed and (f) direction of motionHow do i solve this questionA sinusoidal wave is given by: y= 5 sin (2x - 8t) cm determine the velocity of this wave in cm/s with two decimal places please.
- 2. A very narrow slit of width a = 2.50µm is illuminated with light of wavelength 1 = 540.0 nm and a diffraction pattern is observed on a screen D=1.25 m from the slit. At the screen, how far from the optical axis, y2 , is the second minimum that appears on а. either side of the central maximum? b. At the screen, how far from the optical axis, ymax is the furthest minimum that appears on either side of the central maximum?The wave propagates at a speed of 12 m/s from A to B with the equation of "difference": y = 0.06 sin 20xt and the initial deviation is upwards (y and t are SI base units). The distance AB is 2.5 m. Exactly when B has 3/4 phase, point A deviates by... а. 3 ст, down b. 3 cm, up С. 3V3 ст, ир d. 3v3 cm, down е. б ст, downThe equation for the displacement of a stationary wave on a string is given by y = 2 (sin 5πt)(cos 6πx), where x and y are in meters, and t is in seconds. Determine: b. the amplitude of the point P which lies at a distance of 75 cm from the end of the reflection!
- A sinusoidal wave is given by: y= 8 sin (2x - 5t) cm determine the transverse velocity vy of a point on this wave in cm/s at point x =8 cm for t=3 s.2π.χ. λι -₁), 1. In the geometry of the following figure, the wave in region 1 is given by y₁(x)=C₁sin (5 where ₁ = 4.97 cm, and ₁ = -65.3°. In region 2, the wavelength is ₂ = 10.5 cm. The boundary A is located at x = 0, and the boundary B is located at x = L, where L = 20.0 cm. Find the wave functions in regions 2 and 3. [2] Incident A B Transmitted wave wave и Reflected wave Glass Air (region 1) (region 2) Air (region 3) (a)Vw t = 0.00 s NAJA t = 3.00 s y(cm) 4 8 6 4 2 -2 -4 -6 -8 0 1 2 3 4 5 6 7 8 9 10 11 12 13 A transverse wave shown at two instants of time. (a) Determine the wavelength and amplitude of the wave. (b) Find the wave velocity vw. (c) Calculate the period I and frequency fof the wave. 14 15 16 17 18 19 20 x(cm)