Intro to Simple Harmonic Motion (Horizontal Springs) Video Lessons

Concept

# Problem:  An oscillator creates periodic waves on a stretched string.1.  If the period of the oscillator doubles, what happens to the wavelength and wave speed?a) The wavelength doubles but the wave speed is unchanged.b) The wavelength is halved but the wave speed is unchanged.c) The wavelength is unchanged but the wave speed doubles.2.  If the amplitude of the oscillator doubles, what happens to the wavelength and wave speed?a) Both wavelength and wave speed are unchanged.b) The wavelength is unchanged but the wave speed doubles.c) The wavelength doubles but the wave speed is unchanged.

###### FREE Expert Solution

1.

The wavelength in terms of speed and frequency:

$\overline{){\mathbf{\lambda }}{\mathbf{=}}\frac{\mathbf{v}}{\mathbf{f}}}$

Frequency, f = 1/T

Therefore, λ = vT.

Doubling the period of the oscillator gives λ = 2vT

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###### Problem Details

An oscillator creates periodic waves on a stretched string.

1.  If the period of the oscillator doubles, what happens to the wavelength and wave speed?

a) The wavelength doubles but the wave speed is unchanged.

b) The wavelength is halved but the wave speed is unchanged.

c) The wavelength is unchanged but the wave speed doubles.

2.  If the amplitude of the oscillator doubles, what happens to the wavelength and wave speed?

a) Both wavelength and wave speed are unchanged.

b) The wavelength is unchanged but the wave speed doubles.

c) The wavelength doubles but the wave speed is unchanged.