This question has Statement 1 and Statement 2 . Of the four choices given after the Statements, choose the one that best describes the two Statements. Statement 1: It is not possible to make a sphere of capacity 1 farad

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Correct answer: D. Statement 1 is true, Statement 2 is false.

Capacitance of sphere is given by: C=4 π _0 r If, C=1 ~F then radius of sphere needed: r=(C)/(4 π _0)= 1 4 π × 8.85 × 10^ -12 or, r= 10^ 12 4 π × 8.85 =9 × 10^9 ~m 9 × 10^9 ~m is very large, it is not possible to obtain such a large sphere. Infact earth has radius 6.4 × 10^6 ~m only and capacitance of earth is 711 μ F .

This question has Statement 1 and Statement 2 . Of the four choices...

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