Question

The wave described by y = 0.35 sin (27πt - 10πx), where x and y are in metre and tin second, is a wave travelling along the ______.

Options

• negative x-direction with amplitude 0.35 m and wavelength λ = 0.5 m

• positive x-direction with frequency 1 Hz and wavelength λ = 0.2 m

• positive x-direction with frequency 1 Hz and amplitude 3.5 m

• negative x-direction with frequency π Hz and wavelength λ = 0.5 m

Answer 1

The wave described by y = 0.35 sin (27πt - 10πx), where x and y are in metre and tin second, is a wave travelling along the positive x-direction with frequency 1 Hz and wavelength λ = 0.2 m.

Explanation:

y = 0.35 sin (27πt - 10πx)

ω = 2π

`(2pi)/"T" = 2pi`

T = 1

`therefore 1/"f" = 1`

`(2pi)/lambda = 10 pi`

`lambda = 1/5`m = 0.2 m

It is moving in +ve direction.