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Chapter 33: Q1P (page 1001)

A certain helium鈥搉eon laser emits red light in a narrow band of wavelengths centered at632.8nm and with a 鈥渨avelength width鈥� (such as on the scale of Fig. 33-1) of0.0100nm. What is the corresponding 鈥渇requency width鈥� for the emission?

Short Answer

Expert verified

The frequency width of the emission is7.49脳109Hz

Step by step solution

01

Step 1: Listing the given quantities

Wavelength, 位=623.8nm=623.8脳10-9m.

Wavelength width,螖位=0.0100nm=0.0100脳10-9m.

Speed of light, c=3脳108m/s.

02

Step 2: Understanding the concepts of frequency and wavelength

In wavelength scale Fig. 33-1, each scale marker represents a change in wavelength and corresponding frequency. A certain scale denotes the electromagnetic spectrum. In this problem, we will calculate the frequency width of the He-Ne laser required for the emission using the formula for the change in frequency in terms of velocity of light and wavelength.

Formula:

螖f=螖c位

03

Step 3: Calculations of the frequency width of the emission

Since 螖位鈮�位, we will find 螖fas,

螖f=螖c位=c螖位位2

Substitute the values in the above expression, and we get,

螖f=3脳108623.8脳10-9(0.0100脳10-9)2=7.49脳109Hz

The frequency width of the emission is7.49脳109Hz.

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Most popular questions from this chapter

In Fig. 33-76, unpolarized light is sent into a system of three polarizing sheets with polarizing directions at angles, 胃1=20掳, 胃2=60掳and胃3=40掳.What fraction of the initial light intensity emerges from the system?

In Fig. 33-47a, a light ray in an underlying material is incident at an angleon a boundary with water, and some of the light refracts into the water. There are two choices of the underlying material. For each, the angle of refractionversus the incident angleis given in Fig. 33-47b.The horizontal axis scale is set by胃1s=90掳.Without calculation, determine whether the index of refraction of

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(d) material 2?

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In Fig. 33-41, unpolarized light is sent into a system of two polarizing sheets. The anglesof the polarizing directions of the sheets are measured counterclockwise from the positive direction of the y-axis (they are not drawn to scale in the figure). The angle 胃1 is fixed but the angle 胃2can be varied. Figure 33-45 gives the intensity of the light emerging from sheet 2 as a function of 胃2 . (The scale of the intensity axis is not indicated.) What percentage of the light鈥檚 initial intensity is transmitted by the two-sheet system when?

a.

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