The angular resolution of a 10 cm diameter telescope at a wavelength of 5000 mathringA is of the order of

Question

The angular resolution of a 10 cm diameter telescope at a wavelength of 5000 mathringA is of the order of (A) 106 rad (B) 10-2 rad (C) 10-4 rad (D) 10-6 rad

Tardigrade Admin · Accepted Answer

Angular resolution =(1.22 λ/d) =(1.22 × 5000 × 10-10/10 × 10-2) =6.1 × 10-6 =10-6 rad

Q. The angular resolution of a $10 c m$ diameter telescope at a wavelength of $5000 \overset{˚}{A}$ is of the order of

$1 0^{6}$ rad

$1 0^{- 2}$ rad

$1 0^{- 4}$ rad

$1 0^{- 6}$ rad

Angular resolution $= \frac{1.22 λ}{d}$
$= \frac{1.22 \times 5000 \times 1 0 ^{- 10}}{10 \times 1 0 ^{- 2}}$
$= 6.1 \times 1 0^{- 6}$
$= 1 0^{- 6}$ rad

Q. The angular resolution of a 10cm diameter telescope at a wavelength of 5000A˚ is of the order of

106 rad

10−2 rad

10−4 rad

10−6 rad