Correct Answer - Option 4 : 3.14 m
CONCEPT :
- A progressive wave is one which travels continuously in medium without a change in amplitude and direction and is given by equation is given by
⇒ Y = A Sin(Kx - ωt)
Where A = Amplitude K = Wave vector, t = time and x = distance
-
Wave vector is the quantity used to represent the direction of motion and magnitude, which is given by
\(⇒ K = \frac{2\pi}{λ}\)
Where λ = Wavelength
CALCULATION :
Given y = 2 sin (314t - 2x + π/2)
- The equation of progressive wave is given by
⇒ Y = A Sin(Kx - ωt)
Comparing the given equation to the above equation
⇒ K = 2
- The wave vector is given by
\(⇒ \frac{2\pi}{\lambda} = 2\)
\(\lambda = \frac{2\pi}{2} = \pi = 3.14 m \)
- Hence, option 4 is the answer
