1. What is Huygen\'s principle? 2. AB and AC differ by one half a wavelength. B

Question

1. What is Huygen's principle?

2. AB and AC differ by one half a wavelength. B and C put out the same wavelength i nthe same phase. What is the superposition.?

3. AB is 100 cm, and AC is 120 cm/ The wavelength generated by B and C is in phase, and equal to 5 cm. will the amplitude of the superposition at A be large or small? Why?

4. Interference patterns are stationary. What does that mean?

5. Two laser beams intersect at (say) 60 degrees. Where is there an interference pattern? The laser beams continue on after the intersection. Have they been modified, and if so, how?

6. Do the terms node and anti-node apply to interference patterns?

7. In a spring or a pendulum, where is the spee fastes? Slowest?

8. Understand (what is) the concept of displacement and restoring force. That is the essence of mechanical vibration.

9. In a sound wave, is it pressure or changes in pressure that are essential for the wave.

10. The period of a mechanical wave is longer if there is high inertial resistance to motion (high mass or high density) and shorter if the restoring force is large. Does that make sense for the mass on a spring: T =2 ?

Explain it.

11. Why in a continuous media, does the period depend on the density of the elasic cosntant.

12. Longitudinal waves, transverse waves whoch are in :

a solid, a string, air, water, am organ pipe. What waves are in light?

13. Polarization applies to what type of waves? In what media or mechanical mechanisms can polarized waves exist?

Please show work.

Explanation / Answer

1]Every point on wave front acts as the source of secondary wavelets that spread out in the forward direction with the same speed as the wave. The new wave front is found by constructing the surface tangent to the secondary wavelets.

2] B---------A--------C

AB-AC = lamda /2

= destructive interference takes place at A

3]AB-AC = 20 cm

lamda = 5cm

so the path difference = 4lamda

so a constructive interference takes place which will have a larger amplitude

4]Stationary means that the interference cancels out each other and the resultant wave is a zero wave or a stationary wave

5]yes they can intersect

6]No they relate interference

7]Fastest = mean position

slowest = at maximum displacement

8]the spring force balances the external force onthe object and always tries to restore the objects position to its original one

9]Change in pressure is essential

10]T = 2pi sqrt[m/K]

this equation shows the dependence of tension on m and the restoring force

11]the elastic media is the same as a spring behaving like and it depends on the density of the media

12]solid - transverse

a string -- Longitudinal

water --->transverse

organ pipe ---> transverse

13] A wave is polarized if it oscillates in one direction or plane.

A wave can be polarized by the use of a polarizing filter.

The polarization of a transverse wave describes the direction of oscillation in the plane perpendicular to the direction of travel.

Longitudinal waves such as sound waves do not exhibit polarization. For these waves the direction of oscillation is along the direction of travel.

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