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AIIMS 2014
Exam
AIIMS
Year
2014
Subject
Physics
Chapter
Capacitance

AIIMS 2014 · Physics · Capacitance

The diameter of the plate of a parallel plate condenser is 6 ~cm ....

The diameter of the plate of a parallel plate condenser is 6 cm6 \mathrm{~cm}. If its capacity is equal to that of a sphere of diameter 200 cm200 \mathrm{~cm}, the separation between the plates of the condenser is

Options

  1. A4.5×10−4 m4.5 \times 10^{-4} \mathrm{~m}
  2. B2.25×10−4 m2.25 \times 10^{-4} \mathrm{~m}
  3. C6.75×10−4 m6.75 \times 10^{-4} \mathrm{~m}
  4. D9×10−4 m9 \times 10^{-4} \mathrm{~m}

Correct answer

B. 2.25×10−4 m2.25 \times 10^{-4} \mathrm{~m}

Step-by-step solution

As ε0Ad=4πε0R\frac{\varepsilon_0 A}{d}=4 \pi \varepsilon_0 R d=A4πR=π(6/2)24π(100)=2.25×10−2 cmd=\frac{A}{4 \pi R}=\frac{\pi(6 / 2)^2}{4 \pi(100)}=2.25 \times 10^{-2} \mathrm{~cm} =2.25×10−4 m=2.25 \times 10^{-4} \mathrm{~m}
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