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5. Magnetism and matter — Physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 SciencePhysics5. Magnetism and matter1 Mark
MCQ
Two tangent galvanometer coils of same radius connected in series. The current flowing produces deflection of $60^o$ and $45^o$. The ratio of number of turns in coil is
  • A
    $\frac{4}{3}$
  • B
    $\frac{{\left( {\sqrt 3  + 1} \right)}}{1}$
  • C
    $\frac{{\sqrt 3  + 1}}{{\sqrt 3  - 1}}$
  • ✓
    $\frac{{\sqrt 3 }}{1}$
✓

Answer

Correct option: D.
$\frac{{\sqrt 3 }}{1}$
d
Tangent galvanometers are connected in series so current will be same in both.

${\mathrm{k}_{1} \text { tan } \theta_{1}=\mathrm{K}_{2} \tan \theta_{2}} $

${\frac{\mathrm{k}_{1}}{\mathrm{k}_{2}}=\frac{\tan \theta_{2}}{\tan \theta_{1}}=\frac{1}{\sqrt{3}}}$

$\mathrm{k} \propto \frac{\mathrm{R}}{\mathrm{N}}$ (radius is same for both)

$\frac{\mathrm{K}_{1}}{\mathrm{K}_{2}}=\frac{\mathrm{N}_{2}}{\mathrm{N}_{1}}$

$\Rightarrow \frac{\mathrm{N}_{1}}{\mathrm{N}_{2}}=\frac{\mathrm{K}_{2}}{\mathrm{K}_{1}}=\frac{\sqrt{3}}{1}$

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