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  4. Two poles are separated by a distance of 3.14 m. The resolving power of human eye is 1 minute of an arc. The maximum distance from which he can identify the two poles distinctly is

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Q. Two poles are separated by a distance of $3.14\, m$. The resolving power of human eye is $1$ minute of an arc. The maximum distance from which he can identify the two poles distinctly is

KCETKCET 2020

Solution:

Given the lateral separation of the poles $d =3.14\, m$
The resolving power of the eye is
$\theta=1 \min =\pi /(60 \times 180)$ rad
The maximum distance from which poles are distinctly visible is
$D = d / \theta$
$\Rightarrow D =(3.14 \times 60 \times 180) / \pi$
$=10800 \,m =10.8 \,km$