The human eye has an approximate angular resolution of θ=5.8 × 10-4 rad and typical photo printer prints a minimum of 300 dip (dots per inch, 1 inch =2.54 cm ). At what minimal distance d should a printed page be held so that one does not see the individual dots?

Question

The human eye has an approximate angular resolution of θ=5.8 × 10-4 rad and typical photo printer prints a minimum of 300 dip (dots per inch, 1 inch =2.54 cm ). At what minimal distance d should a printed page be held so that one does not see the individual dots? (A) 20.32 cm (B) 29.50cm (C) 14.59 cm (D) 6.85 cm

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/f7184748b590d6598eb85de420b550ae-.png" /> θ=(x/d) 5.8 × 10-4=(2.54/300) × (1/d) d=14.59 cm θ=(x/d) 5.8 × 10-4=(2.54/300) × (1/d) d=14.59 cm

Q. The human eye has an approximate angular resolution of $θ = 5.8 \times 1 0^{- 4}$ rad and typical photo printer prints a minimum of $300$ dip (dots per inch, 1 inch $= 2.54$ cm ). At what minimal distance $d$ should a printed page be held so that one does not see the individual dots?

20.32 cm

29.50cm

14.59 cm

6.85 cm

$θ = \frac{x}{d}$
$5.8 \times 1 0^{- 4} = \frac{2.54}{300} \times \frac{1}{d}$
$d = 14.59 c m$
$θ = \frac{x}{d}$
$5.8 \times 1 0^{- 4} = \frac{2.54}{300} \times \frac{1}{d}$
$d = 14.59 c m$

Q. The human eye has an approximate angular resolution of θ=5.8×10−4 rad and typical photo printer prints a minimum of 300 dip (dots per inch, 1 inch =2.54 cm ). At what minimal distance d should a printed page be held so that one does not see the individual dots?