A sine wave has an amplitude A and wavelength λ . Let V be the wave velocity and maximum velocity of a particle in the medium. Then

Question

A sine wave has an amplitude A and wavelength λ . Let V be the wave velocity and maximum velocity of a particle in the medium. Then (A) V= upsilon I 2πλ (B) V= upsilon if λ=(3A/2π) (C) V cannot be equal to upsilon (D) V= upsilon if A=(λ/2π)

Tardigrade Admin · Accepted Answer

Using upsilonp = (2π A/λ) upsilonω when upsilonp = upsilonω, we get, A = (λ/2 π).

Q. A sine wave has an amplitude A and wavelength $λ$ . Let V be the wave velocity and maximum velocity of a particle in the medium. Then

$V = υ I 2 πλ$

$V = υ i f λ = \frac{3 A}{2 π}$

V cannot be equal to $υ$

$V = υ i f A = \frac{λ}{2 π}$

Using $υ_{p} = \frac{2 π A}{λ} υ_{ω}$ when $υ_{p} = υ_{ω}$ ,
we get, A = $\frac{λ}{2 π}$ .

Q. A sine wave has an amplitude A and wavelength λ . Let V be the wave velocity and maximum velocity of a particle in the medium. Then

V=υI2πλ

V=υifλ=2π3A​

V cannot be equal to υ

V=υifA=2πλ​