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Current Electricity question

2020 · 5 Sep · Shift 2 · Q40
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  5. /2020 · 5 Sep · Shift 2 · Q40

Current Electricity question

2020 · 5 Sep · Shift 2 · Q40

JEE MainPhysicsCurrent ElectricityMCQ+4 / −1
A galvanometer is used in laboratory for detecting the null point in electrical experiments. If, on passing a current of 6 mA it produces a deflection of 2o, its figure of merit is close to :
  1. A
    6 ×\times× 10–3 A/div
  2. B
    666o A/div
  3. C
    3 ×\times× 10–3 A/div
  4. D
    333o A/div
View written solutionFree

Correct answer: C

  1. Figure of merit of a galvanometer

    The figure of merit kkk is defined as the current required to produce one division deflection: k=Ink = \frac{I}{n}k=nI​ where:

    • III = current through galvanometer
    • nnn = deflection in divisions

  2. Given data

    Current passed: I=6 mA=6×10−3 AI = 6\ \text{mA} = 6 \times 10^{-3}\ \text{A}I=6 mA=6×10−3 A

    Deflection produced: n=2n = 2n=2

    So, k=6×10−32k = \frac{6 \times 10^{-3}}{2}k=26×10−3​

  3. Calculation

    k=3×10−3 A/divk = 3 \times 10^{-3}\ \text{A/div}k=3×10−3 A/div

  4. Matching with options

    • A: 6×10−3 A/div6 \times 10^{-3}\ \text{A/div}6×10−3 A/div
    • B: 666∘ A/div666^\circ\ \text{A/div}666∘ A/div
    • C: 3×10−3 A/div3 \times 10^{-3}\ \text{A/div}3×10−3 A/div
    • D: 333∘ A/div333^\circ\ \text{A/div}333∘ A/div

    Hence, the correct option is: C\boxed{\text{C}}C​

  5. Comparison with stored answer

    Stored correct answer = C

    My derived answer = C

    Therefore, they agree.

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