Answer:
y = 0.0199 m
Explanation:
The double slit experiment is described by the expression
d sin θ = m λ
Where d is the separation of the slits, λ the wavelength and m an integer that gives the order of interference.
In this experiment the pattern is registered on a screen.
tan θ = y / x
As the angles are very small
tan θ = sin θ / cos θ = sin θ
We replace
d y / x = m λ
Let's look with the initial data for the distance between the slits
d / x = m λ / y
m = 2
d / x = 2 425 10⁻⁹ / 0.0151
.d / x = 5.629 10⁻⁵ m
Now let's look for the spread if we change the wavelength
λ = 560 nm = 560 10⁻⁹ m
y = m λ 1 (d / x)
Let's calculate
y = 2 560 10⁻⁹ 1/ 5.629 10⁻⁵
y = 1.9897 10⁻² m
y = 0.0199 m
