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A particle of mass \( \mathrm{m} \) and charge \( \mathrm{q} \) is located midway between two fixed charged particles each having a charge \( \mathrm{q} \) and a distance \( 2 \ell \) apart. If it is displaced along the line connecting them and released. Also find its time period for SHM.
a. \( 4 \pi \sqrt{\frac{\mathrm{m} \pi \in_{0} \ell^{3}}{\mathrm{q}^{2}}} \)
b. \( \pi \sqrt{\frac{m \pi \epsilon_{0} \ell^{3}}{2 q^{2}}} \)
c. \( 2 \pi \sqrt{\frac{\mathrm{m} \pi \in_{0} \ell^{3}}{\mathrm{q}^{2}}} \)
d. \( \pi \sqrt{\frac{2 \mathrm{~m} \pi \in_{0} \ell^{3}}{\mathrm{q}^{2}}} \)
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