# 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

93% (68 ratings) ###### 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.

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Our tutors have indicated that to solve this problem you will need to apply the Intro to Simple Harmonic Motion (Horizontal Springs) concept. You can view video lessons to learn Intro to Simple Harmonic Motion (Horizontal Springs). Or if you need more Intro to Simple Harmonic Motion (Horizontal Springs) practice, you can also practice Intro to Simple Harmonic Motion (Horizontal Springs) practice problems.