The Sun's angular diameter is measured to be | vedclass

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Question

(A) The angular diameter $\alpha$ is given as $1920^{\prime \prime}$.First,convert the angular diameter from arcseconds to radians:$\alpha = 1920 	im

Vedclass · Accepted Answer

$1.39 	imes 10^{9} \ m$

Vedclass · Answer

(A) The angular diameter $\alpha$ is given as $1920^{\prime \prime}$.First,convert the angular diameter from arcseconds to radians:$\alpha = 1920 	imes 4.85 	imes 10^{-6} \ rad = 9.312 	imes 10^{-3} \ rad$.The diameter $d$ of the Sun is related to the angular diameter $\alpha$ and the distance $D$ by the formula $d = \alpha D$.Substituting the values:$d = (9.312 	imes 10^{-3} \ rad) 	imes (1.496 	imes 10^{11} \ m)$.$d \approx 1.393 	imes 10^{9} \ m$.

Substance	Atomic Mass $(u)$	Density $(10^3\,kg\,m^{-3})$
Carbon (diamond)	$12.01$	$2.22$
Gold	$197.00$	$19.32$
Nitrogen (liquid)	$14.01$	$1.00$
Lithium	$6.94$	$0.53$
Fluorine (liquid)	$19.00$	$1.14$

The Sun's angular diameter is measured to be $1920^{\prime \prime}$. The distance $D$ of the Sun from the Earth is $1.496 \times 10^{11} \ m$. What is the diameter of the Sun?

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