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In a double-slit experiment, the slit spacing is 0.120 mm and the screen is 2.00 m from the slits. Find the wavelength (in nm) if the distance between the central bright region and the third bright fringe on a screen is 2.75 cm.

Sagot :

Okpalawalter8idn

Answer:

[tex]\lambda=550nm[/tex]

Explanation:

From the question we are told that:

The slit spacing [tex]d_s=0.120mm=>0.120*10^{-3}[/tex]

Screen distance [tex]d_{sc}=2.0m[/tex]

Third Distance  [tex]X=2.75cm=>2.75*10^{-2}[/tex]

Generally the equation for Wavelength is mathematically given by

[tex]\lambda=\frac{Xd_s}{n*d_{sc}}[/tex]

Where

n=number of screens

[tex]n=3[/tex]

Therefore

[tex]\lambda=\frac{2.75*10^{-2}*0.120*10^{-3}}{3*2}[/tex]

[tex]\lambda=0.055*10^{-5}[/tex]

[tex]\lambda=550nm[/tex]

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