The angle of 1′ (minute of arc) in radian is nearly equal to (a) 1.75 × 10⁻² rad (b) 2.91 × 10⁻⁴ rad (c) 4.85 × 10⁻⁴ rad (d) 4.80 × 10⁻⁶ rad

Answer: (b). 1' = (1/60)° and 1° = (π)/(180) rad. 1' = (π)/(180 × 60) = (3.1416)/(10800) rad 1' ≈ 2.91 × 10⁻⁴ rad So the answer is (b) 2.91 × 10⁻⁴ rad.

The angle of 1′ (minute of arc) in radian is nearly equal to | NEET 2020 (Phase 2)

Q66NEET 2020 · PHASE 2Easy

Units & Dimensions

The angle of 1′ (minute of arc) in radian is nearly equal to

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Answer: (b)

$1' = \left(\frac{1}{60}\right)^\circ$ and $1^\circ = \frac{\pi}{180}\text{ rad}$ .
$1' = \frac{\pi}{180 \times 60} = \frac{3.1416}{10800}\text{ rad}$
$1' \approx 2.91 \times 10^{-4}\text{ rad}$
So the answer is (b) $2.91 \times 10^{-4}\text{ rad}$ .

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