Respuesta :
Answer:
The distance from the central bright spot are [tex]156.8\times10^{-3}\ mm[/tex] and [tex]142.9\times10^{-3}\ mm[/tex].
Explanation:
Given that,
Wavelength = 490 nm
Distance y= 15 mm
Length L=1.6 m
New wavelength = 670
We need to calculate the distance from the central bright spot
Using formula of distance
[tex]y= \dfrac{m\lambda L}{d}[/tex]
[tex]d=\dfrac{m\lambda L}{y}[/tex]
Put the value into the formula
[tex]d=\dfrac{3\times490\times10^{-9}\times1.6}{15\times10^{-3}}[/tex]
[tex]d=156.8\times10^{-6}\ m[/tex]
[tex]d=156.8\times10^{-3}\ mm[/tex]
We need to calculate the distance from the central bright spot for new wavelength
Using formula of distance
[tex]d=\dfrac{m\lambda L}{y}[/tex]
Put the value into the formula
[tex]d=\dfrac{2\times670\times10^{-9}\times1.6}{15\times10^{-3}}[/tex]
[tex]d=142.9\times10^{-6} m[/tex]
[tex]d=142.9\times10^{-3}\ mm[/tex]
Hence, The distance from the central bright spot are [tex]156.8\times10^{-3}\ mm[/tex] and [tex]142.9\times10^{-3}\ mm[/tex].
