A moving coil galvanometer, having a resistance `G`, produces full scale deflection when a current `I_(g)` flows through it. This galvanometer can be converted into (i) an ammeter of range `0` to `I_(0)(I_(0) gt I_(g))` by connecting a shunt resistance `R_(A)` to it and (ii) into a voltmeter of range `0` to `V(V = GI_(0))` by connecting a series resistance `R_(V)` to it. Then,
A
`R_(A)R_(V)=G^(2)((I_(0)-I_(g))/(I_(g)))` and `(R_(A))/(R_(V))=((I_(g))/(I_(0)-I_(g)))`
B
`R_(A)R_(V)=G^(2)` and `(R_(A))/(R_(V))=((I_(g))/(I_(0)-I_(g)))^(2)`
C
`R_(A)R_(V)=G^(2)((I_(g))/(I_(0)-I_(g)))` and `(R_(A))/(R_(V))=((I_(0)-I_(g))/(I_(g)))`
D
`R_(A)R_(V)=G^(2)` and `(R_(A))/(R_(V))=(I_(g))/((I_(0)-I_(g)))`
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