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The distance of the Sun from Earth is 1.5×10¹¹ m and its angular diameter is 2000 s when observed from the earth. The diameter of the Sun will be

Asked in JEE Main 27th June 2nd Shift 2022 · Units and conversions

Answer: (3) 1.45×10⁹ m

Step-by-step solution

Given: d=1.5×10¹¹ m, angular diameter θ=2000 arcseconds.

Convert: 1 arcsecond =4.85×10⁻⁶ rad, so θ=2000×4.85×10⁻⁶=9.7×10⁻³ rad.

Idea: for a small angle the diameter is D=θ d.

D=9.7×10⁻³×1.5×10¹¹

D=1.45×10⁹ m.

Why the other options are wrong

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