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Current Electricity question

2002 · Shift 0 · Q120
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Current Electricity question

2002 · Shift 0 · Q120

JEE MainPhysicsCurrent ElectricityMCQ+4 / −1
The mass of product liberated on anode in an electrochemical cell depends on (where ttt is the time period for which the current is passed).
  1. A
    (It)1/2{\left( {It} \right)^{1/2}}(It)1/2
  2. B
    ItItIt
  3. C
    I/tI/tI/t
  4. D
    I2t{I^2}tI2t
View written solutionFree

Correct answer: B

  1. Use Faraday’s first law of electrolysis

    The mass mmm of a substance liberated or deposited at an electrode is directly proportional to the total charge passed through the electrolyte:

    m∝Qm \propto Qm∝Q

  2. Relate charge to current and time

    We know that charge is given by:

    Q=ItQ = ItQ=It

    where:

    • III = current
    • ttt = time

  3. Substitute into Faraday’s law

    Therefore,

    m∝Itm \propto Itm∝It

  4. Match with the given options

    The correct dependence is:

    ItItIt

    So, Option B is correct.

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