Assume that light of wavelength 600 nm is coming from a star. The limit of resolution of telescope whose objective has a diameter of 2 m is :

Question

Assume that light of wavelength 600 nm is coming from a star. The limit of resolution of telescope whose objective has a diameter of 2 m is : (A) 3.66 × 10-7 rad (B) 1.83 × 10-7 rad (C) 7.32 × 10-7 rad (D) 6.00 × 10-7 rad

Tardigrade Admin · Accepted Answer

Limit of resolution, θR=1.22 (λ/d); λ=600 × 10-9 m d=2 m θR=(1.22 × 600 × 10-9/2) θR=3.66 × 10-7 rad

Q. Assume that light of wavelength $600 nm$ is coming from a star. The limit of resolution of telescope whose objective has a diameter of $2 m$ is :

$3.66 \times 1 0^{- 7} r a d$

$1.83 \times 1 0^{- 7} r a d$

$7.32 \times 1 0^{- 7} r a d$

$6.00 \times 1 0^{- 7} r a d$

Limit of resolution,
$θ_{R} = 1.22 \frac{λ}{d}$ ;
$λ = 600 \times 1 0^{- 9} m$
$d = 2 m$
$θ_{R} = \frac{1.22 \times 600 \times 1 0 ^{- 9}}{2}$
$θ_{R} = 3.66 \times 1 0^{- 7}$ rad

Q. Assume that light of wavelength 600nm is coming from a star. The limit of resolution of telescope whose objective has a diameter of 2m is :

3.66×10−7rad

1.83×10−7rad

7.32×10−7rad

6.00×10−7rad