Answer:
λ = 8.716 mm
Step-by-step explanation:
Given:
- d = 10 cm
- Q >= 5 degrees
Find:
- Find the shortest wavelength of light for which this apparatus is useful
Solution:
- The formula that relates the split difference and angle of separation between successive fringes is given by:
d*sin(Q) = n*λ
Where,
λ: wavelength
d: split separation
Q: angle of separation between successive fringes
m: order number.
- Since this apparatus only shows the first order light so m =1
- the shortest possible wavelength corresponds to:
d*sin(Q) = λ
λ = 0.1*sin(5)
λ = 8.716 mm