The waves of wavelength 5900 A emitted by any atom or...

The waves of wavelength 5900 A emitted by any atom or molecule must have some finite total length which is known as coherent length. For sodium light, this length is $2.4 \mathrm{~cm}$. The number of oscillations in this length will be(a) $4.068 \times 10^{5}$ (b) $4.068 \times 10^{6}$ (c) $4.068 \times 10^{7}$ (d) $4.068 \times 10^{4}$

The waves of wavelength 5900 A emitted by any atom or molecule must have some finite total length which is known as coherent length. For sodium light, this length is $2.4 \mathrm{~cm}$. The number of oscillations in this length will be(a) $4.068 \times 10^{5}$
(b) $4.068 \times 10^{6}$
(c) $4.068 \times 10^{7}$
(d) $4.068 \times 10^{4}$

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Key Concepts

Unit Conversion

Unit conversion is crucial when dealing with physical quantities expressed in different units. In problems like these, converting measurements (for example, from angstroms to centimeters) ensures consistency in calculations and accurate results.

Coherence Length

The coherence length is the distance over which a wave (or light wave) maintains a predictable and constant phase relationship. This concept is important in optics and wave physics, as it determines how well a wave can interfere with itself or other waves over a distance.

Wavelength

Wavelength is the spatial period of a wave—the distance over which the wave's shape repeats. It is a fundamental property of waves and directly relates to their frequency and energy, and it is critical in calculations where the size scale of the wave is involved.

Number of Oscillations (Cycles)

The number of oscillations in a given distance is computed by dividing that distance by the wavelength. This concept is essential in understanding how many full wave cycles occur within the coherence length of the light, indicating how the phase of the wave evolves over that span.

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