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The wavelength shortens by 1 / 1.5 or 2/3 (0.667)

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14y ago
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1mo ago

If the frequency is multiplied by 1.5, the wavelength will decrease by a factor of 2/3. This is because wavelength and frequency are inversely proportional to each other in a wave's speed equation (speed = wavelength × frequency).

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Q: How does wavelength change if the frequency of a wave is multiplied by 1.5?
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How is frequency related to wavelength for a given wave?

(frequency) multiplied by (wavelength) = (speed of the wave)


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Wavelength times frequency gives the speed of the wave.


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(frequency) multiplied by (wavelength) = (wave speed)


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velocity of a wave equals wave frequency times wave length.


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Wave speed is equal to the product of wavelength and frequency in a wave. This relationship is described by the equation: wave speed = wavelength x frequency.


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If the frequency of a sound wave is multiplied by ten, the wavelength will decrease by a factor of ten. This is because the speed of sound in a given medium remains constant, so when frequency increases, wavelength decreases proportionally to maintain the speed of sound.


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