The amplitude of a transverse wave on a string is 3.0 cm. The ratio of the maximum particle speed to the speed of the wave is 3.9. What is the wavelength (in cm) of the wave?

Therefore the wavelength of the particle is 4.83 m.

Explanation:

Transverse wave: A transverse wave is a moving wave whose direction of wave and oscillation are perpendicular to each other.

Amplitude:The amplitude of a wave is the maximum the distance from its rest position covered by a particle.

Here amplitude (A) = 3.0 cm

The ratio of maximum speed to the speed of the particle is 3.9

The maximum speed of the particle = A×ω

The speed of the particle C= f×λ

Then,

            [∵ω=2πf]

m

Therefore the wavelength of the particle is 4.83 m

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