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Consider the three statements in context...

Consider the three statements in context of electrostatic field lines.
STATEMENT-1 `:` Electrostatic field lines are continuous curves in space.
STATEMENTS-2 `:` Electrostatic field lines are always perpendicular to equipotential surface.
STATEMENT-3 `:` A charge when released in electrostatic field moves along electrostatic field lines.

A

T T F

B

T F T

C

F T F

D

T F F

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the three statements regarding electrostatic field lines, we will evaluate each statement one by one. ### Step 1: Evaluate Statement 1 **Statement 1:** Electrostatic field lines are continuous curves in space. **Explanation:** Electrostatic field lines represent the direction of the electric field at various points in space. They originate from positive charges and terminate at negative charges. These lines do not have any breaks or discontinuities; they are continuous curves. Therefore, this statement is **True**. ### Step 2: Evaluate Statement 2 **Statement 2:** Electrostatic field lines are always perpendicular to equipotential surfaces. **Explanation:** By definition, equipotential surfaces are surfaces where the electric potential is constant. The electric field lines, which represent the direction of the force on a positive charge, must be perpendicular to these surfaces. If they were not perpendicular, there would be a component of the electric field along the surface, which would cause charges to move and thus change the potential. Therefore, this statement is also **True**. ### Step 3: Evaluate Statement 3 **Statement 3:** A charge when released in an electrostatic field moves along electrostatic field lines. **Explanation:** The statement suggests that a charge will always move along the direction of the electric field lines when released. However, this is only true for positive charges, which move in the direction of the electric field. Negative charges, on the other hand, will move in the opposite direction of the electric field lines. Therefore, this statement is **False**. ### Conclusion Based on the evaluations: - Statement 1: True - Statement 2: True - Statement 3: False Thus, the correct answer is that the first two statements are true, and the third statement is false. ### Final Answer: **True, True, False** (Option 1 is correct) ---
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Knowledge Check

  • Which of the following statements is not true about electric field lines?

    A
    Electric field lines start from positive charge and end at negative charge.
    B
    Two electric field lines can never cross each other.
    C
    Electrostatic field lines do not form any closed loops.
    D
    Electric field lines cannot be taken as continuous curve.
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