Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600 nm. coming from a distant object, the limit of resolution of the telescope is close to :

Question

Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600 nm. coming from a distant object, the limit of resolution of the telescope is close to : (A) 1.5 × 10-7 rad (B) 2.0 × 10-7 rad (C) 3.0 × 10-7 rad (D) 4.5 × 10-7 rad

Tardigrade Admin · Accepted Answer

Limit of resolution = (1.22λ/d) = (1.22 ×600 × 10-9/250 ×10-2 ) = 2.9 ×10-7 textrad

Q. Diameter of the objective lens of a telescope is $250 c m$ . For light of wavelength $600 nm$ . coming from a distant object, the limit of resolution of the telescope is close to :

$1.5 \times 1 0^{- 7} r a d$

$2.0 \times 1 0^{- 7} r a d$

$3.0 \times 1 0^{- 7} r a d$

$4.5 \times 1 0^{- 7} r a d$

Limit of resolution $= \frac{1.22 λ}{d}$
$= \frac{1.22 \times 600 \times 1 0 ^{- 9}}{250 \times 1 0 ^{- 2}}$
$= 2.9 \times 1 0^{- 7} rad$

Q. Diameter of the objective lens of a telescope is 250cm. For light of wavelength 600nm. coming from a distant object, the limit of resolution of the telescope is close to :

1.5×10−7rad

2.0×10−7rad

3.0×10−7rad

4.5×10−7rad