When a wave travels in a medium the particles displacement is given by the equation y=0.03 sin π(2 t-0.01 x), where x and y are in seconds. The wavelength of the wave is :

Question

When a wave travels in a medium the particles displacement is given by the equation y=0.03 sin π(2 t-0.01 x), where x and y are in seconds. The wavelength of the wave is : (A) 200 m (B) 100 m (C) 20 m (D) 10 m

Tardigrade Admin · Accepted Answer

Compare the given wave equation with its similar standard wave equation.
The standard wave equation is

y = a sin 2 π (\frac{t}{T} - \frac{x}{λ}) ... (1)

Where

a

is amplitude,

T

is periodic time and

λ

is displacement.
Given, equation is

y = 0.03 sin π (2 t - 0.01 x) ... (2)

Comparing Eqs. (1) and (2), we get

\frac{2}{λ} = 0.01

\Rightarrow λ = \frac{2}{0.01} = 200 m

Q. When a wave travels in a medium the particles displacement is given by the equation y=0.03sinπ(2t−0.01x), where x and y are in seconds. The wavelength of the wave is :

200 m

100 m

20 m

10 m

Q. When a wave travels in a medium the particles displacement is given by the equation $y = 0.03 sin π (2 t - 0.01 x)$ , where $x$ and $y$ are in seconds. The wavelength of the wave is :