Question

Choose the y-equation for a wave traveling in the negative x-direction with wavelength 50 cm , speed 3.0 m/s , and amplitude 6.0 cm .

Choose the y-equation for a wave traveling in the negative x-direction with wavelength 50 {\rm \;cm} , speed 3.0 {\rm \;m/s} , and amplitude 6.0 {\rm \;cm} .

1)    y=( 6.0 cm )sin(2π(x/( 50 cm )+( 6.00 s−1 )t))

2)    y=( 6.0 cm )sin(2π( 50 cm )x−( 6.00 s−1 )t))

3)    y=( 6.0 cm )sin(2π(x/( 50 cm )+ t/( 6.00 s−1 )))

4)    y=( 6.0 cm )sin(2π(( 50 cm )x− t/( 6.00 s−1 )))

Answer 1

The general wave equation for a wave moving along the x-axis with displacement along the y-axis is given by

where A is the amplitude, is the wavelength and is the frequency of the wave. The sign is positive when the wave is moving in the negative x-direction, and negative when the wave is moving in the positive x-direction.

Given amplitude A=6cm

Wavelength

Frequency

Given the wave is moving in the negative x-direction, so the sign between the two phase terms is positive.

Therefore  

Hence the correct option is (1)