A wave has frequency f and wavelength λ. The speed is v = fλ. If f doubles and λ halves, the speed becomes

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Multiple Choice

A wave has frequency f and wavelength λ. The speed is v = fλ. If f doubles and λ halves, the speed becomes

Explanation:
The speed of a wave is set by the product of its frequency and wavelength, v = fλ. If the frequency doubles and the wavelength halves, the two changes cancel because (2f) × (λ/2) equals fλ. For example, with f = 10 Hz and λ = 3 m, v = 30 m/s. If f becomes 20 Hz and λ becomes 1.5 m, v = 20 × 1.5 = 30 m/s. So the speed remains unchanged.

The speed of a wave is set by the product of its frequency and wavelength, v = fλ. If the frequency doubles and the wavelength halves, the two changes cancel because (2f) × (λ/2) equals fλ. For example, with f = 10 Hz and λ = 3 m, v = 30 m/s. If f becomes 20 Hz and λ becomes 1.5 m, v = 20 × 1.5 = 30 m/s. So the speed remains unchanged.

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