The equation of longitudinal wave represented as y = 20 cos π (50 t - x) cm. Then its wavelength is

Question

The equation of longitudinal wave represented as y = 20 cos π (50 t - x) cm. Then its wavelength is (A) 120 cm (B) 50 cm (C) 2 cm (D) 5 cm

Tardigrade Admin · Accepted Answer

The standard equation of a wave of amplitude a is given by y = a cos (ω t - kx) ...(i) where, ω is angular veiocity, k the wave number and t there time. Wavelength λ = (2 π/k) = (2 π/π) = 2 cm

Q. The equation of longitudinal wave represented as $y = 20 cos π (50 t - x) c m .$ Then its wavelength is

120 cm

50 cm

2 cm

5 cm

The standard equation of a wave of amplitude a is given by
$y = a cos (ω t - k x) ... (i)$
where, $ω$ is angular veiocity, k the wave number and t there time.
Wavelength $λ = \frac{2 π}{k} = \frac{2 π}{π} = 2 c m$

Q. The equation of longitudinal wave represented as y=20cosπ(50t−x)cm. Then its wavelength is