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Which of the following is the correct relation between wavelength, frequency, and velocity?

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v = λ / f

λ = v \times f

f = λ \times v

v = f \times λ

answer is D.

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Detailed Solution

The relation between wavelength, frequency, and velocity is given by

v = f \times λ

.
The number of vibrations in one second is called frequency

(f)

.
The wavelength is the shortest distance over which the wave repeats itself.

(λ)

The velocity is the distance travelled in one second

(v)

.
Wavelength is defined as the distance travelled in one time period

(t)

.
Therefore,

Wavelength = Velocity \times time period

\Rightarrow λ = v \times t

\Rightarrow λ = v \times (1 / f)

, since

t = 1 / f

Hence,

v = f \times λ .

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