Two charged spherical conductors of radius R 1 and R 2 R1 and R2 are connected by a wire. Then the ratio of surface charge densities of the spheres ( σ 1 / σ 2 ) σ1/σ2 is: 1. √ ( R 1 R 2 ) R1R2 2. R 2 1 R 2 2 R12R22 3. R 1 R 2 R1R2 4. R 2 R 1 R2R1

 Question:  From NCERT  | NEET 2021   || [Difficult level:Medium] Subtopic: Electric Potential || 

:Two charged spherical conductors of radius 

$R^{}$${}_1$$\mathrm{and}$$R^{}$${}_2$${\mathrm{R}}_1 \mathrm{and} {\mathrm{R}}_2$ are connected by a wire. Then the ratio of surface charge densities of the spheres $($${\sigma }^{}$${}_1$$/$${\sigma }^{}$${}_2$$)$$\left({\mathrm{\sigma }}_1/{\mathrm{\sigma }}_2\right)$ is:

1. $\sqrt{\left(\frac{R_1}{R_2}\right)}$

2. $\frac{R_1^2}{R_2^2}$

3. $\frac{R_1}{R_2}$

4. $\frac{R_2}{R_1}$

Answer:4. 

$\frac{R_2}{R_1}$

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