\[(a)\;66.7 \% \quad (b)\; 33.3\%\quad (c)\;15 \% \quad (d)\;20.3 \%\]

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energy of satellite in the first case

$E_1=\large\frac{GMm}{2r}$

energy in the second case is

$E_2=\large\frac{GMm}{2\bigg(\Large\frac{3}{2}r \bigg)}$

$\Delta E =\large\frac{GMm}{r} \bigg(\frac{1}{2}-\frac{1}{3}\bigg)=\frac{GMm}{6}$

$\%$ increase $=\large\frac{\Large \frac{GMm}{6r}}{\Large \frac{GMm}{2r}}$$ \times 100$

$\qquad= 33.3 \%$

Hence b is the correct answer

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