Two tangent galvanometers having coils of the same radius are connected in series. A current flowing in them produces deflections of `60^(@)` and `45^(@)` respectively. The ratio of the number of turns in the coils is

Options

A. `4//3`
B. `(sqrt(3)+1)//1`
C. `sqrt(3)//1`
D. `(sqrt(3)+1)//(sqrt(3)-1)`

Answer

C

Explanation

For tangent galvanometer
`(mu_(0)ni)/(2r)=Htan theta`
`n propH tan theta`
`(n_(1))/(n_(2))=(tantheta_(1))/(tantheta_(2))`
`(n_(1))/(n_(2))=(tan60^(@))/(tan45^(@))=(sqrt(3))/(1)`