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Assuming the earth to be a sphere of uni...

Assuming the earth to be a sphere of uniform density the acceleration due to gravity:

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`(1)/(4piepsilon_(0))[(3q)/(3a)+(6q)/(3a)+(q_(1))/(3a)+(12q)/(4a)]=0`
`rArr q_(1)= -18q`
`|Deltaq_(1)|=9q`
`(1)/(4piepsilon_(0))[(3q)/(3a)+(q_(2))/(3a)+(q_(1))/(3a)+(12q)/(4a)]=0`
`(1)/(4piepsilon_(0))[(3q)/(2a)+(q_(2))/(2a)+(q_(1))/(3a)+(12q)/(4a)]=0`
Solving
`q_(2)=-3q`
`|Deltaq_(2)|=9q`
`(|Deltaq_(2)|)/(|Deltaq_(1)|)=1`
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