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Statement I: If an electric field is app...

Statement I: If an electric field is applied to a metallic conductor, the free electrons experience a force but do not accelerate, they only drift at a constant speed.
Statement II: The force exerted by the electric field is completely balanced by the Coulomb force between electrons and protons .

A

Statement I is true, Statement II is True, Statement II is a correct explanation for Statement I.

B

Statement I is True, Statement II is True, Statement II is not a correct explanation for Statement I.

C

Statement I is True, Statement II is False.

D

Statement I is False, Statement II is True.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements provided in the question, let's break them down step by step. ### Step-by-Step Solution: **Step 1: Understanding Statement I** - Statement I claims that when an electric field is applied to a metallic conductor, the free electrons experience a force but do not accelerate; they only drift at a constant speed. - In a metallic conductor, free electrons are subjected to an electric field, which exerts a force on them. However, due to frequent collisions with the lattice ions of the metal, these electrons do not continuously accelerate. Instead, they attain a constant average drift velocity over time. **Conclusion for Statement I: True** - The statement is true because while the electrons do experience a force due to the electric field, their motion is influenced by collisions, resulting in a constant drift speed rather than continuous acceleration. --- **Step 2: Understanding Statement II** - Statement II asserts that the force exerted by the electric field is completely balanced by the Coulomb force between electrons and protons. - While it is true that electrons are influenced by the attractive force from protons in the atomic nucleus, this does not imply that the electric field force is balanced by the Coulomb force. The electric field causes the electrons to drift, and the balance of forces does not mean that the net force is zero. Instead, the electrons experience a net force that results in their drift motion. **Conclusion for Statement II: False** - The statement is false because the electric field does not balance the Coulomb force in a way that prevents the electrons from drifting. Instead, the electric field causes a net force that results in the drift of electrons. --- ### Final Conclusion: - Statement I is true, and Statement II is false. Therefore, the correct answer is that Statement I is true and Statement II is false. ---

To analyze the statements provided in the question, let's break them down step by step. ### Step-by-Step Solution: **Step 1: Understanding Statement I** - Statement I claims that when an electric field is applied to a metallic conductor, the free electrons experience a force but do not accelerate; they only drift at a constant speed. - In a metallic conductor, free electrons are subjected to an electric field, which exerts a force on them. However, due to frequent collisions with the lattice ions of the metal, these electrons do not continuously accelerate. Instead, they attain a constant average drift velocity over time. ...
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Knowledge Check

  • When electric field (vec(E)) is applied on the ends of a conductor, the free electrons starts moving in direction

    A
    similar `vecE`
    B
    Opposite `vecE`
    C
    perpendicular to `vecE`
    D
    cannot be predicted
  • When electric field is applied inside a conductor then free electron are accelerated. Their average velocity in time interval t is proportional to

    A
    `t^(1)`
    B
    `t^(2)`
    C
    `sqrt(t)`
    D
    `t^(0 )`
  • An electron experiences a force equal to its weight, when placed in an electric field. The intensity of the field will be

    A
    `1.7xx10^(-11)N//C`
    B
    `5.0xx10^(-11)N//C`
    C
    `5.5xx10^(-11)N//C`
    D
    `56N//C`