What is the distance, in meters, between adjacent fringes produced by a diffraction grating having 125 lines per centimeter

Respuesta :

Answer:

The correct answer will be "9×10⁻³ m".

Explanation:

The given values are:

Number of lines

N = 125

As we know

The distance between the adjacent fringes is:

⇒ [tex]\frac{\lambda x}{d}[/tex]

Where, λx = Screen distance

              d = slit width

and,

⇒ [tex]dSin \theta=m \lambda[/tex]

Where, [tex]d = \frac{1}{N}[/tex]

Hence,

⇒ [tex]\Delta\gamma=\frac{\lambda x}{d}[/tex]

          [tex]=\lambda x\times N[/tex]

On substituting the values, we get

⇒ [tex]\Delta\gamma=575\times 10^{-9}\times 1.25\times \frac{125}{10^{-2}}[/tex]

⇒ [tex]\Delta\gamma=9\times 10^{-3} \ m[/tex]

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