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What is the necessary condition on the path length difference between 2 waves that interfere

(a) constructively

(b) destructively


Explain why two flashlights held close together do not produce an interference pattern on a distant screen


Suppose Young's double-slit experiment is performed in air using red light and then the apparatus is immersed in water. What happens to the interference pattern on the screen?



Calculate the wave and group velocities of water waves at (a) A = 2 cm, (b) A =

8.0 cm, and (c) A = 20.0 cm. The wave velocity of short waves such as these are

given by

where A is the wavelength in meters, T is the surface tension in newtons per meter,

which at room temperature is 0.073N/m, g isthe acceleration due to gravity, 9.80m/s2

,

and d is the density of the liquid in kilograms per cubic meter.


List 5 differences between sound and light waves


An electromagnetic wave with a peak magnetic field of magnitude 1.50 x 10^(-7) T has an associated peak electric field of what magnitude?

A. 0.500 x 10^(-15) N/C

B. 2.00 x 10^(-5) N/C

C. 2.20 x 10^(4) N/C

D. 45.0 N/C

E. 22.0 N/C


Which of the following statements are true regarding electromagnetic waves traveling through a vacuum? More than one statement may be correct.

A. All waves travel at 3.00 x 10^8 m/s

B. All waves have the same frequency

C. All waves have the same wavelength

D. The electric and magnetic fields associated with the waves are perpendicular to each other and to the direction of wave propagation.


Two traveling sinusoidal waves are described by the wave function y1 = 5.00 sin ([pie(4.00x = 1200t)] , y2 = 5.00 sin [pie(4.00x - 1200t - 0.250)] where x, y1, and y2 are in meters and t is in seconds.

(a) what is the amplitude of the resultant wave function y1 + y2?

(b) what is the frequency of the resultant wave function?


Two waves on one string are described by the wave functions y1 = 3.0 cos (4.0x - 1.6t), y2 = 4.0 sin (5.0x - 2.0t) where x and y are in centimeters and t is in seconds. Find the superposition of the waves y1 + y2 at the points x = 1.00, t = 1.00; Remember that arguments of the trigonometric functions are in radians.


Two wave pulses A and B are moving in opposite directions, each with a speed v = 2.00cm/s. The amplitude of A is twice the amplitude of B. At t = 0, displacement A lies between( 5 and 9units cm moving to the right) and that of B between ( 11 and 17 units cm to the left). Sketch the resultant waves at 1.00s, 1.50s, 2.00s, 2.50s, and 3.00s.


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