The equation of a transverse wave is given by y=10sinπ (0.01 x - 2 t) where x and y are in cm and t is in seconds. Its frequency is

Question

The equation of a transverse wave is given by y=10sinπ (0.01 x - 2 t) where x and y are in cm and t is in seconds. Its frequency is (A) 10 s- 1 (B) 2 s- 1 (C) 1 s- 1 (D) 0.01 s- 1

Tardigrade Admin · Accepted Answer

Comparing with the standard equation, y=Asin(k x - ω t) , we have ω =2π rad/s Frequency n=(ω /2 π )=(2 π /2 π )=1s- 1 ⇒ n=1 s- 1

Q. The equation of a transverse wave is given by $y = 10 s inπ (0.01 x - 2 t)$ where $x$ and $y$ are in $c m$ and $t$ is in seconds. Its frequency is

$10 s^{- 1}$

$2 s^{- 1}$

$1 s^{- 1}$

$0.01 s^{- 1}$

Comparing with the standard equation, $y = A s in (k x - ω t)$ , we have
$ω = 2 π r a d / s$
Frequency $n = \frac{ω}{2 π} = \frac{2 π}{2 π} = 1 s^{- 1}$
$\Rightarrow n = 1 s^{- 1}$

Q. The equation of a transverse wave is given by y=10sinπ(0.01x−2t) where x and y are in cm and t is in seconds. Its frequency is

10s−1

2s−1

1s−1

0.01s−1