Question

Consider the waves represented by the following functions.
(a)
y = 4 sin (3x − 15t)

(b)
y = 6 cos (3x + 15t − 2)

(c)
y = 8 sin (2x + 15t)

(d)
y = 8 cos (4x + 20t)

(e)
y = 7 sin (6x − 24t)

Rank the waves represented by the above functions from the largest to the smallest according to the following conditions. (Use only ">" or "=" symbols. Do not include any spaces or parenthesis around the letters or symbols.)

(i) their amplitudes

(ii) their wavelengths


(iii) their frequencies


(iv) their periods


(v) their speeds

Answer 1

(1)--c=d>e>b>a
(2)--c>b=a>d>e
(3)--e>a>b=c>d
(4)--d>c=b>a>e
(5)--a>e>b=d>c
:)

Answer 2

(3) an (4) are not correct. (5) would be correct if velocity was concerned, but "speed" implies a different answer.

Answer 3

yes for (5) you r correct but (3) and(4) are correct as it just depends uppon the coefficient of x:)

Answer 4

Both depend only on the coefficient of t :)

Answer 5

no as standard one is A cos(kx-wt)
where k=2*pi/wavelength andwavelength=v/f=velocity/frequencyand period is inversly proportional to frequency:)

Answer 6

This logical chain is wrong because when you write λ=v/f, you are assuming that all waves travel with the same velocity.

It is simpler: ω = 2π/T , so period and frequency depend only on ω.

Answer 7

oh i just forgot to take that into consideration my fault sry:)

Answer 8

yw :))