White light is passed through a diffraction grating that has the spacing between the slits of 4x10^6m. On each side of the white central maximum, a spectrum of colors is observed. What is the wavelength of the light observed at an angle of 7.00° in the first-order bright fringes?

Respuesta :

Answer:

The wavelength of the light is 487477.37 m.

Explanation:

Given that,

Spacing between the slits [tex]d= 4\times10^{6}\ m[/tex]

Angle = 7.00°

We need to calculate the wavelength

Using formula of wavelength

[tex]d\sin\theta=n\lambda[/tex]

Where, d = distance between the slits

n = order bright fringes

Put the value into the formula

[tex]\lambda=\dfrac{d\sin\theta}{n}[/tex]

[tex]\lambda=\dfrac{4\times10^{6}\times\sin7.00}{1}[/tex]

[tex]\lambda=487477.37\ m[/tex]

Hence, The wavelength of the light is 487477.37 m.

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