Question

A normal human eye can distinguish two objects separated by 0.35 m when viewed from a distance of 1.0 km. The angular resolution of eye is _________ seconds (Round off to the nearest integer).

Answer 1

Correct Answer: 71

To determine the angular resolution of the eye, we can use the formula for angular resolution in radians: θ = s/d, where s is the separation between the objects, and d is the distance from the observer to the objects. Here, s = 0.35 m and d = 1000 m.

Calculating: θ = 0.35 m / 1000 m = 0.00035 rad.

To convert this angular resolution from radians to seconds (since 1 rad = 206265 arcseconds), we multiply by 206265:

0.00035 × 206265 ≈ 72.193 arcseconds.

Rounded to the nearest integer, the angular resolution is 72 arcseconds.