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Question

At any instant

$T \cos 	heta=m g.........(i)$

$T \sin 	heta=F_{e}.........(ii)$

$\Rightarrow \quad \frac{\sin 	heta}{\cos 	heta}=\frac{F_

Vedclass · Accepted Answer

$v$ $ \propto \;{x^{ - \frac{1}{2}}}\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;$

Vedclass · Answer

At any instant

$T \cos 	heta=m g.........(i)$

$T \sin 	heta=F_{e}.........(ii)$

$\Rightarrow \quad \frac{\sin 	heta}{\cos 	heta}=\frac{F_{e}}{m g} \Rightarrow \mathrm{F}_{\mathrm{e}}=\mathrm{mg} 	an 	heta$

$\Rightarrow \quad \frac{k q^{2}}{x^{2}}=m g 	an 	heta \Rightarrow q^{2} \propto x^{2} 	an 	heta$

$\sin 	heta =\frac{x}{2 l} $

For small  $	heta$, $\sin 	heta \approx 	an 	heta  $

$	herefore q^{2} \propto x^{3}$

$\Rightarrow \quad q \frac{d q}{d t} \propto x^{2} \frac{d x}{d t}$

$	herefore \quad \frac{d q}{d t}=$ const.

$	herefore \quad q \propto x^{2}, v \Rightarrow x^{3 / 2} \alpha x^{2}, v\left[\because q^{2} \propto x^{3}ight]$

$\Rightarrow v \propto x^{-1 / 2}$

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