If a galvanometer has full scale deflection current `I_(g)` and resistance G. A shunt resistance `R_(A)` is used to convert it into an ammeter of range `I_(o)` and a resistance `R_(V)` is connected in series to convert it into a voltmeter of range `V_(0)` such that `V_(0)=I_(0)G` then `R_(A)R_(V)` and `(R_(A))/(R_(V))` respectively are:

Options

A. `R_(A)R_(V)=G^(2)((I_(0)-I_(g))/(I_(g)))` and `(R_(A))/(R_(V))=((I_(g))/(I_(0)-I_(g)))^(2)`
B. `R_(A)R_(V)=G^(2)` and `(R_(A))/(R_(v))=(I_(g))/((I_(0)-I_(g)))`
C. `R_(A)R_(v)=G^(2)` and `(R_(A))/(R_(v))=((I_(g))/(I_(0)-I_(g)))^(2)`
D. `R_(A)R_(V)=G^(2)((I_(g))/(I_(0)-I_(g)))` and `(R_(A))/(R_(V))=((I_(0)-I_(g))/(I_(g)))^(2)`

Answer

C