JEE Mains · Physics · STD 12 - Electric charges and fields
- JEE Mains 2022
- Hard
- MCQ
Two identical positive charges \(Q\) each are fixed at a distance of ' \(2 a\) ' apart from each other. Another point charge qo with mass ' \(m\) ' is placed at midpoint between two fixed charges. For a small displacement along the line joining the fixed charges, the charge \(q_{0}\) executes \(SHM\). The time period of oscillation of charge \(q_{0}\) will be.
Pick an option to check your answer.
Answer & Solution
Correct Answer
(A) \(\sqrt{\frac{4 \pi^{3} \varepsilon_{0} m a^{3}}{q_{0} Q}}\)
Step-by-step Solution
Detailed explanation
\(m \operatorname{acc}^{ n }=\frac{ KQq _{0}[2 a ][2 x ]}{\left( a ^{2}- x ^{2}\right)^{2}}\)
\(\Rightarrow \operatorname{acc}^{ n } \approx\left(\frac{4 kQq _{0}}{ ma ^{3}}\right) x\)
\(T =2 \pi \sqrt{\frac{\pi \varepsilon_{0} ma ^{3}}{ Qq _{0}}}\)
\(T =\sqrt{\frac{4 \pi^{3} \varepsilon_{0} ma ^{3}}{ Qq _{0}}}\)
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