Q139 / 150 · MHT CET 2020 (12 Oct Shift 1) · Physics

The deflection in a moving coil galvanometer is reduced to half when it is shunted with ' $X^{\prime} \Omega$ coil. The relation between ' $\mathrm{X}^{\prime}$ and resistance of galvanometer ' $\mathrm{G}^{\prime}$ is

  • A
    $2 X=G$
  • B
    $4 X=G$
  • C
    $X=2 G$
  • Correct answer
    D
    $X=G$

Solution

$\mathrm{I}_{\mathrm{G}} \cdot \mathrm{G}=\mathrm{I}_{\mathrm{x}} \cdot \mathrm{X}$ The total current gets equally divided between the galvanometer and the shunt. $\therefore \mathrm{I}_{\mathrm{G}}=\mathrm{I}_{\mathrm{X}}$

Hence, the correct answer is option: 'D'.

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