Question

Example 10.6 Assume that light of wavelength 6000Ả is coming from
a star. What is the limit of resolution of a telescope whose objective
has a diameter of 100 inch?​

Answer 1

QUESTION :-

Assume that light of wavelength 6000Ả is coming from

a star. What is the limit of resolution of a telescope whose objective

has a diameter of 100 inch?

ANSWER :-

GIVEN:-

$\huge\bold\rightarrow$Diameter = 100 inch = 2.54 m

$\huge\bold\rightarrow$λ =6000 Angstrom = 6 × 10⁻¹⁰ m

$\huge\bold\rightarrow$Limit of resolution = 1$\theta$=D\1.22λ

$\huge\bold\rightarrow$2.54\1.22 ×6 ×10^-10

$\huge\bold\red\rightarrow$2.9 × 10⁻⁷ radians.

Answer 2

QUESTION :-

Assume that light of wavelength 6000Ả is coming from

a star. What is the limit of resolution of a telescope whose objective

has a diameter of 100 inch?

ANSWER :-

GIVEN:-

→ Diameter = 100 inch = 2.54 m

→ λ =6000 Angstrom = 6 × 10⁻¹⁰ m

→ Limit of resolution = 1\thetaθ =D\1.22λ

→ 2.54\1.22 ×6 ×10^-10

→ 2.9 × 10⁻⁷ radians.