Addition of 2vector gives you 1large vector quantity
In the single-slit experiment, the displacement of the minima of the diffraction pattern on the screen is given by

(1)
where
n is the order of the minimum
y is the displacement of the nth-minimum from the center of the diffraction pattern

is the light's wavelength
D is the distance of the screen from the slit
a is the width of the slit
In our problem,


while the distance between the first and the fifth minima is

(2)
If we use the formula to rewrite

, eq.(2) becomes

Which we can solve to find a, the width of the slit:
Explanation:
The nearest star to the Earth is the red dwarf star Proxima Centauri, at a distance of 4.218 light-years.
Light year is the unit of distance covered by the heavenly bodies. 1 light year is equal to :
So,
We need to convert 4.218 light-years barley corns.
Since, 1 barleycorn = 1/3 inch


So, the nearest star to the Earth is at a distance of
. Hence, this is the required solution.
m/s^2 is 39.2266
is the answer If thats what you needed
Do you have the answer choices ?