Question

Write the relation between frequency wave length and velocity of the wave

Answer 1

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Wave velocity of a wave is the distance covered by a wave in one second, while the frequency of the wave is the distance covered by a wave in the time period of one vibration of the particle of the wave.

Both of the wave velocity and frequency are the distance covered by the wave.
It the time period of one vibration of the particle of the wave is one second then we can say that frequency of the wave is the wave velocity.


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Answer 2

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Consider a wave of length λ, frequency f moving with velocity v,

$➩ ᴠ= \frac{ᴅɪនᴛᴀɴᴄᴇ \: ᴛʀᴀᴠᴇʟʟᴇᴅ \: ʙʏ \: ᴡᴀᴠᴇ }{ ᴛɪᴍᴇ \: ᴛᴀᴋᴇɴ }$

$Ꮩ = \frac{λ}{τ} \\ Ꮩ= λ.\frac{1}{τ} \\ ⟹ Ꮩ=λ.f$

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