A ring with a uniform charge distribution with a total charge \( Q \) and radius \( R \) is plac...

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A ring with a uniform charge distribution with a total charge \( Q \) and radius \( R \) is placed in the \( y z \) plane with its centre at the origin then which of the following is/are correct about this situation :
(A) The field at the origin is zero
(B) The potential at the origin is \( \frac{1}{4 \pi \varepsilon_{0}} \frac{Q}{R} \)
(C) The field at the point \( (x, 0,0) \) is \( \frac{1}{4 \pi \varepsilon_{0}} \frac{Q}{x^{2}} \)
(D) The field at the point \( (x, 0,0) \) is \( \frac{1}{4 \pi \varepsilon_{0}} \frac{Q}{R^{2}+x^{2}} \)
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