The equation of travelling wave is y=60 cos (1800t-6x) y where y in microns, in seconds and x in metres. The ratio of maximum particle velocity to velocity of wave propagation is :

Question

The equation of travelling wave is y=60 cos (1800t-6x) y where y in microns, in seconds and x in metres. The ratio of maximum particle velocity to velocity of wave propagation is : (A)  3.6  (B)  3.6× 10-6  (C)  3.6× 10-1  (D)  3.6× 10-4

Tardigrade Admin · Accepted Answer

Comparing the given equation to the standard equation of wave upsilon 0=ω A and c=(ω /k) ( upsilon 0/c)=(ω A/ω text/k)=kA=6× 60× 10-6 =3.6× 10-4

Q. The equation of travelling wave is $y = 60 cos$ $(1800 t - 6 x)$ y where y in microns, in seconds and x in metres. The ratio of maximum particle velocity to velocity of wave propagation is :

$3.6$

$3.6 \times 10^{- 6}$

$3.6 \times 10^{- 1}$

$3.6 \times 10^{- 4}$

Comparing the given equation to the standard equation of wave $υ_{0} = ω A$ and $c = \frac{ω}{k}$ $\frac{υ _{0}}{c} = \frac{ω A}{ω / k} = k A = 6 \times 60 \times 10^{- 6}$ $= 3.6 \times 10^{- 4}$

Q. The equation of travelling wave is y=60cos (1800t−6x) y where y in microns, in seconds and x in metres. The ratio of maximum particle velocity to velocity of wave propagation is :

3.6

3.6×10−6

3.6×10−1

3.6×10−4