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FIGURE P33.49 shows the interference pattern on a screen 1.0mbehind a diffraction grating. The wavelength of the light is 620nm. How many lines per millimeter does the grating have?

Short Answer

Expert verified

The grating hasn=645nmof lines per millimetre.

Step by step solution

01

Step: 1 Derivating:

The bright fringes diffraction grating as

dsinm=md=msinmd=sin1.

02

Step: 2 Finding the angle:

The place of bright fringes as

tan1=y1L1=tan1y1L1=tan143.6cm100cm1=23.56.

03

Step: 3 Calculating grating value:

The spacing and grating value as

d=620109msin23.56d=1.55106md=1.55103mm.

The number of lines is

n=11.55103mmn=645.

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