Calculate the limit of resolution of a telescope objective having a diameter of 200 cm, if it has to detect light of wavelength 500 nm coming from a star :

Question

Calculate the limit of resolution of a telescope objective having a diameter of 200 cm, if it has to detect light of wavelength 500 nm coming from a star : (A) 305 × 10-9 radian (B) 152.5 × 10-9 radian (C) 610 × 10-9 radian (D) 457.5 × 10-9 radian

Tardigrade Admin · Accepted Answer

Limit of resolution of telescope = (1.22 λ/D) θ = (1.22 × 500 × 10-9/200 × 10-2) = 305 × 10-9 radian

Q. Calculate the limit of resolution of a telescope objective having a diameter of $200 c m$ , if it has to detect light of wavelength $500 nm$ coming from a star :

$305 \times 1 0^{- 9}$ radian

$152.5 \times 1 0^{- 9}$ radian

$610 \times 1 0^{- 9}$ radian

$457.5 \times 1 0^{- 9}$ radian

Limit of resolution of telescope = $\frac{1.22 λ}{D}$
$θ = \frac{1.22 \times 500 \times 1 0 ^{- 9}}{200 \times 1 0 ^{- 2}} = 305 \times 1 0^{- 9}$ radian

Q. Calculate the limit of resolution of a telescope objective having a diameter of 200cm, if it has to detect light of wavelength 500nm coming from a star :

305×10−9 radian

152.5×10−9 radian

610×10−9 radian

457.5×10−9 radian