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  • The sun (diameter D) subtends an angle of  radians at the pole of a concave mirror of focal length <img alt="

The sun (diameter D) subtends an angle of \theta radians at the pole of a concave mirror of focal length \mathrm{f}. The diameter of the image of the sun formed by the mirror is 

Option: 1

\mathrm{f \theta}


Option: 2

\mathrm{\frac{f 2 \theta}{D}}


Option: 3

2 \mathrm{f \theta}


Option: 4

\mathrm{2 \mathrm{f \theta}}


Answers (1)

best_answer

Since the sun is at very large distance, \mathrm{p=\infty}

\mathrm{ \Rightarrow \quad \frac{1}{\infty}+\frac{1}{q}=\frac{1}{f}}
\mathrm{ \Rightarrow \quad g=f}

If the diameter of the image be

\frac{\mathrm{d} / 2}{\mathrm{q}}=\propto \quad \Rightarrow \quad \mathrm{d}=(2 \alpha) \mathrm{q}
\mathrm{Putting \, 2 \alpha=\theta \: and\: q=f}

we obtain

\mathrm{D=f \theta}
\therefore \quad \mathrm{A}
 

Posted by

Devendra Khairwa

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