Question

The wave of wavelength 5900 A emitted by any atom or molecule must have some finite total length which is known as the coherence length. For sodium light, this length is $2.4 \mathrm{~cm}$. The number of oscillations in this length will be (a) $4.068 \times 10^{8}$ (b) $4.068 \times 10^{7}$ (c) $4.068 \times 10^{6}$ (d) $4.068 \times 10^{\circ}$

Name: Problem 25, Chapter 22: Master Resource Book in JEE Main Physics
Uploaded: 2022-01-16T05:35:17-08:00
Duration: 1 min 15 s
Channel: Amita Prajapat
Description: The wave of wavelength 5900 A emitted by any atom or molecule must have some finite total length which is known as the coherence length. For sodium light, this length is 2.4 cm. The number of oscillations in this length will be (a) 4.068 ×10^8 (b) 4.068 ×10^7 (c) 4.068 ×10^6 (d) 4.068 ×10^∘

   The wave of wavelength 5900 A emitted by any atom or molecule must have some finite total length which is known as the coherence length. For sodium light, this length is $2.4 \mathrm{~cm}$. The number of oscillations in this length will be
(a) $4.068 \times 10^{8}$
(b) $4.068 \times 10^{7}$
(c) $4.068 \times 10^{6}$
(d) $4.068 \times 10^{\circ}$

Master Resource Book in JEE Main Physics

D. B. Singh 1st Edition

Chapter 22, Problem 25

Instant Answer

Solved by Expert Amita Prajapat

01/16/2022

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The coherence length $L$ is given as $2.4$ cm. Show more…

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The wave of wavelength 5900 A emitted by any atom or molecule must have some finite total length which is known as the coherence length. For sodium light, this length is $2.4 \mathrm{~cm}$. The number of oscillations in this length will be (a) $4.068 \times 10^{8}$ (b) $4.068 \times 10^{7}$ (c) $4.068 \times 10^{6}$ (d) $4.068 \times 10^{\circ}$

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Key Concepts

Number of Oscillations

The number of oscillations (or cycles) in a given length is determined by dividing that length by the wavelength of the wave. This concept is fundamental in understanding periodic phenomena and is used to quantify the number of complete cycles a wave undergoes over a specific distance.

Wavelength

Wavelength is the distance between two successive points of equal phase in a wave, such as the distance between two peaks or troughs of a light wave. It is a fundamental property of waves and determines many of their characteristics, including their color in the case of visible light.

Coherence Length

Coherence length is the distance over which a wave (or several waves) maintains a predictable phase relationship. It is a measure of the 'purity' of a light source in terms of its phase and is crucial in applications like interferometry, where maintaining consistent phase is necessary for generating clear interference patterns.

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