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Question: Two spheres of radii 2 cm and 3 cm are charged to same potential. If s<sub>1</sub> and s<sub>2</sub>...

Two spheres of radii 2 cm and 3 cm are charged to same potential. If s1 and s2 be respectively the value of surface charge density on the conductors, then the ratio σ1σ2\frac{\sigma_{1}}{\sigma_{2}}will be-

A

49\frac{4}{9}

B

23\frac{2}{3}

C

32\frac{3}{2}

D

94\frac{9}{4}

Answer

32\frac{3}{2}

Explanation

Solution

V = = σ1×2ε0\frac { \sigma _ { 1 } \times 2 } { \varepsilon _ { 0 } } V ==σ2×3ε0\frac { \sigma _ { 2 } \times 3 } { \varepsilon _ { 0 } }

\ σ1×2ε0\frac { \sigma _ { 1 } \times 2 } { \varepsilon _ { 0 } } =σ2×3ε0\frac { \sigma _ { 2 } \times 3 } { \varepsilon _ { 0 } } \ σ1σ2\frac { \sigma _ { 1 } } { \sigma _ { 2 } }= 32\frac { 3 } { 2 }