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  4. Two small spheres each of mass m and charge q are tied from the same rigid support with the help of silk threads of length L . They make angle θ with the vertical as shown in the figure. If length L is decreased, then angle θ with the vertical <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-xfpij0nxtpetjau7.jpg />

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Q. Two small spheres each of mass $m$ and charge $q$ are tied from the same rigid support with the help of silk threads of length $L$ . They make angle $\theta $ with the vertical as shown in the figure. If length $L$ is decreased, then angle $\theta $ with the vertical

Question

NTA AbhyasNTA Abhyas 2022

Solution:

Let tension in the string is $T$ . Then $Tcos\theta =mg$ & $Tsin\theta =\frac{k q^{2}}{\left(L sin \theta \right)^{2}}$
When length is decreased, distance between two charges decreases and so, the force of repulsion increases. So for equilibrium, $\theta $ also increases.