The table below describes four waves by their equations, in whichall distances a

Question

The table below describes four waves by their equations, in whichall distances are measured in centimeters and all times aremeasured in seconds. For each wave, answer the following "yes-no"questions:

(a) Does it travel in the +x direction?
(b) Does it travel in the -x direction?
(c) Does it wave has the highest frequency (of the four waves)?
(d) Does it have the greatest wavelength (of the four waves)?
(e) Does it have the greatest speed (of the fourwaves)?

wave




9cos(-17x - 29t)




8cos(-5x + 13t)




7cos(-2x - 19t)




3cos(11x - 3t)




wave




9cos(-17x - 29t)




8cos(-5x + 13t)




7cos(-2x - 19t)




3cos(11x - 3t)




wave




9cos(-17x - 29t)




8cos(-5x + 13t)




7cos(-2x - 19t)




3cos(11x - 3t)

Explanation / Answer

the equation of the wave given byA(cosorsin)[kx-t]

travels in the positive direction and that of the formkx+t travels in negative direction

a)is true for options b and d as cos-theta can bewritten as costheta

we haveb)true for options a and c

c)from the general form of the equation that we have writtenabove is known

and frequency=/2

so frequency highest for option a

d)2/k is the wave length option c has greatest wavelength

e)speed = /k   

on comparing we have option c having greatest speed

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.