A travelling wave pulse is given by y=(4/3 x2 + 48 t2 + 24 x t + 2) where x and y are in metre and t is in second. The speed of wave in ms- 1 is :-

Question

A travelling wave pulse is given by y=(4/3 x2 + 48 t2 + 24 x t + 2) where x and y are in metre and t is in second. The speed of wave in ms- 1 is :- (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

y=(4/3 x2 + 48 t2 + 24 x t + 2) =(4/3 [x2 + 16 t2 + 8 x t] + 2) y=(4/3 (x + 4 t)2 + 2) here the value of, ω =4 unit k=1 unit then wave speed, v=(ω /k)=(4/1)=4 ms- 1

Q. A travelling wave pulse is given by $y = \frac{4}{3 x ^{2} + 48 t ^{2} + 24 x t + 2}$ where $x$ and $y$ are in metre and $t$ is in second. The speed of wave in $m s^{- 1}$ is :-

$y = \frac{4}{3 x ^{2} + 48 t ^{2} + 24 x t + 2}$
$= \frac{4}{3 [ x ^{2} + 16 t ^{2} + 8 x t ] + 2}$
$y = \frac{4}{3 ( x + 4 t ) ^{2} + 2}$
here the value of, $ω = 4$ unit & $k = 1$ unit
then wave speed,
$v = \frac{ω}{k} = \frac{4}{1} = 4 m s^{- 1}$

Q. A travelling wave pulse is given by y=3x2+48t2+24xt+24​ where x and y are in metre and t is in second. The speed of wave in ms−1 is :-

y=3x2+48t2+24xt+24​ =3[x2+16t2+8xt]+24​ y=3(x+4t)2+24​ here the value of, ω=4 unit & k=1 unit then wave speed, v=kω​=14​=4ms−1

Q. A travelling wave pulse is given by $y = \frac{4}{3 x ^{2} + 48 t ^{2} + 24 x t + 2}$ where $x$ and $y$ are in metre and $t$ is in second. The speed of wave in $m s^{- 1}$ is :-

$y = \frac{4}{3 x ^{2} + 48 t ^{2} + 24 x t + 2}$
$= \frac{4}{3 [ x ^{2} + 16 t ^{2} + 8 x t ] + 2}$
$y = \frac{4}{3 ( x + 4 t ) ^{2} + 2}$
here the value of, $ω = 4$ unit & $k = 1$ unit
then wave speed,
$v = \frac{ω}{k} = \frac{4}{1} = 4 m s^{- 1}$