Question

*PLEASE HELP*
WILL MARK BRAINLIEST

Light passing through a double slit with
separation d = 6.42x10-5 m creates its
first maximum (m=1) at an angle of
0.396 deg. What is the wavelength of
the light, IN NANOMETERS?
(Hint: The answer will be between 400 and
700.) (Unit = nm)

Answer 1

Answer:

443.8 nm

Explanation:

mλ = yd/D = d(y/D)

m = 1

d = 6.42 x 10-5 m

θ = 0.396°

y/D = tanθ = tan(0.396°) ≅ 6.912 x 10-3

λ = (6.42 x 10-5 m) tan(0.396°) = (6.42 x 10-5 m)(6.912 x 10-3) ≅ 4.438 x 10-7 m = 443.8 nm

I JUST WANT TO MAKE CLEAR THAT  d=6.42*10^-5 NOT d = 6.42x10-5 right?