The distance between two plates of a capacitor is $d$ and its capacitance is $C _1$, when air is the medium between the plates. If a metal sheet of thickness $\frac{2 d }{3}$ and of same area as plate is introduced between the plates, the capacitance of the capacitor becomes $C _2$. The ratio $\frac{ C _2}{ C _1}$ is:
  • A$2: 1$
  • B$4: 1$
  • C$3: 1$
  • D$1: 1$
JEE MAIN 2023, Medium
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