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What is the relation between the speed of the sound wave $(S)$ , Frequency $(N),$ and wavelength $(λ)$ ?

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S = N \times λ

N = S \times λ

λ = N \times S

None of the above

answer is A.

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Detailed Solution

The relation between the speed of the sound wave

(S)

, Frequency

(N)

, and wavelength

(λ)

is given by

S = N \times λ

.
The number of vibrations per second is known as frequency. It is denoted by

N

. The wavelength can be defined as the distance between two consecutive troughs or crests. It is denoted by

λ

. The velocity of a wave would be the distance it may travel in one second. It is represented by

S

.
According to the above definitions,

Wavelength = Distance traveled by the wave in one time period that is in T second

Or,

Wavelength = Wave velocity \times Time period

Or,

L = S \times T

Or,
we know

T = \frac{1}{N}

\Rightarrow

L = S \times \frac{1}{N}

So,

\Rightarrow

L = \frac{S}{N}

\Rightarrow

L \times N = S

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