Two point charges \( 100 \mu \mathrm{C} \) and \( 5 \mu \mathrm{C} \) are placed at points \( A \) and \( B \) respectively with \( A B=40 \mathrm{~cm} \). The work done by external force in displacing the charge \( 5 \mu \mathrm{C} \) from \( \mathrm{B} \)
\( P \)
to \( \mathrm{C} \), where \( \mathrm{BC}=30 \mathrm{~cm} \), angle \( A B C=\frac{\pi}{2} \) and
W
\[
\frac{1}{4 \pi \varepsilon_{0}}=9 \times 10^{9} \mathrm{Nm}^{2} / \mathrm{C}^{2}
\]
(1) \( 9 \mathrm{~J} \)
(2) \( \frac{81}{20} J \)
(3) \( \frac{9}{25} \mathrm{~J} \)
(4) \( -\frac{9}{4} \mathrm{~J} \)
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