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Two tangent galvanometers having coils o...

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

A

`(4//3)`

B

`(sqrt(3)+1)`

C

`((sqrt(3)+1)/(sqrt(3)-1))`

D

`sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
In series, current is same in tangent galvanometer. `B=B_(H)tan theta implies (mu_(0)ni)/(2R)=B_(H)tan theta`
`because` I is same `therefore n alpha tan theta implies (n_(1))/(n_(2))=(tan 60^(@))/(tan 45^(@))= sqrt(3)/(1)`
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