A) \[\begin{matrix} 1 & 16 \\ \end{matrix}\]
B) \[\begin{matrix} 1 & 4 \\ \end{matrix}\]
C) \[\begin{matrix} 16 & 1 \\ \end{matrix}\]
D) \[\begin{matrix} 4 & 1 \\ \end{matrix}\]
Correct Answer: D
Solution :
: Luminosity of a star\[L=\sigma 4\pi {{R}^{2}}{{T}^{4}}\] \[\therefore \] \[\frac{{{L}_{A}}}{{{L}_{B}}}=\frac{Surface\text{ }area\text{ }of\text{ }star\text{ }A}{Surface\text{ }area\text{ }of\text{ }star\text{ }B}\] \[\therefore \]\[\frac{{{L}_{A}}}{{{L}_{B}}}=\frac{4}{1}\]
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