A rectangular region A B C D contains a unifo | vedclass

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Question

(C)

$\cos 	heta=\frac{(R-x)}{R} \Rightarrow \cos 30^{\circ}=1-\frac{x}{R}$

$\Rightarrow x=R\left(1-\frac{\sqrt{3}}{2}ight)$

Now $\cos 	he

Vedclass · Accepted Answer

$(2+\sqrt{3}) B _0$

Vedclass · Answer

(C)

$\cos 	heta=\frac{(R-x)}{R} \Rightarrow \cos 30^{\circ}=1-\frac{x}{R}$

$\Rightarrow x=R\left(1-\frac{\sqrt{3}}{2}ight)$

Now $\cos 	heta^{\prime}=\left(\frac{R^{\prime}-x}{R^{\prime}}ight)$

$\cos 	heta^{\prime}=1-\frac{x}{R^{\prime}}$

$\cos 60^{\circ}=1-\frac{x}{R^{\prime}}$

$\frac{1}{2}=1-\frac{ R \left(1-\frac{\sqrt{3}}{2}ight)}{ R ^{\prime}}$

$R ^{\prime}=2 R \left(1-\frac{\sqrt{3}}{2}ight)$

$\frac{ mv }{ qB }=\frac{2 mv }{ qB }\left(1-\frac{\sqrt{3}}{2}ight)$

$B ^{\prime}=\frac{ B }{(2-\sqrt{3})}$

$B ^{\prime}=(2+\sqrt{3}) B _0$

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