End
A of the rod acts as an object for mirror and A' will be its image. By mirror
formula, image distance of A is VA.
VA
= -15cm
Also
image distance of C
Vc= -20 cm
∴ The length of image = | VA-VC
|
= | -15-(20) | = 5cm
Resolution
limit = 1.22 × λ / D
D
- diameter of pupil = 3 mm
λ
- wavelength = 500 nm
Resolution limit = distance between the dots / resolving diameter
=
1mm/d
[
1.22 × λ ] / D = 1mm / d
D
= [1mm × D ] / [ 1.22 × λ ] = [ 1
x 10-3 × 3 x 10-3 ] / [ 1.22 × 500 x10-9 ]
d = 4.918 ≈ 5m
deBroglie
wavelength λ ∝ 1/√V
λ1/λ2 = √(V2/V1)
= √(224/14) = √16 = 4
λ1
= 4λ2
λ2
= λ1/4