Electric Field and Charge
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Questions and Answers

What is the direction of force experienced by a positive charge in an electric field?

  • Independent of the electric field
  • In the direction of the electric field (correct)
  • Perpendicular to the electric field
  • Opposite to the direction of the electric field

What is the unit of electric field intensity?

  • Newton per Coulomb
  • Volt per Meter
  • Joule per Coulomb
  • All of the above (correct)

If a point charge Q is placed in vacuum, what is the direction of the electric field at a point P?

  • Perpendicular to the line OP
  • Tangential to the charge
  • Independent of the charge
  • Radial from the charge (correct)

What is the principle used to find the resultant electric field intensity when there are multiple charges?

<p>Principle of Superposition (C)</p> Signup and view all the answers

What is the dimensional formula for electric field intensity?

<p>MLT-3 A-1 (A)</p> Signup and view all the answers

What is the condition for a metal sphere to be in equilibrium in an uniform electric field?

<p>The electric field lines must be normal to the sphere (C)</p> Signup and view all the answers

What is the direction of the force experienced by the electric dipole when placed perpendicular to an infinite line of charge?

<p>Towards the line charge (A)</p> Signup and view all the answers

What is the electric flux through an area element ΔS?

<p>E ΔS cos θ (C)</p> Signup and view all the answers

What is the unit of electric flux?

<p>Nm²C-1 (A)</p> Signup and view all the answers

What is the mathematical representation of Gauss's law?

<p>φE = ∫E ⋅ dS = q / ε₀ (A)</p> Signup and view all the answers

What is the angle between the electric field E and the area element ΔS?

<p>θ is the angle between E and ΔS (C)</p> Signup and view all the answers

What is the direction of the electric field due to an infinitely long charged wire?

<p>Radial direction (C)</p> Signup and view all the answers

What is the electric field at a point due to an oscillating dipole if it is rotated by 90° about its perpendicular axis?

<p>P / (4πε₀R²sinθ) (A)</p> Signup and view all the answers

How does the frequency of a positively charged pendulum oscillating in a uniform electric field compare to its frequency when uncharged?

<p>It decreases (C)</p> Signup and view all the answers

What is the variation of the electric field with distance from the centre of a uniformly charged non-conducting sphere of radius R?

<p>1/r² (D)</p> Signup and view all the answers

An α-particle of mass 6.4 × 10⁻²⁷ kg and charge 3.2 × 10⁻¹⁹ C is situated in a uniform electric field of 1.6 × 10⁵ V/m. What is its velocity at the end of a 2 × 10⁻² m path when it starts from rest?

<p>3.2 × 10⁵ ms⁻¹ (B)</p> Signup and view all the answers

A circular wire of radius R carries a total charge Q distributed uniformly over its circumference. If a small length of the wire subtending an angle θ at the centre is cut off, what is the electric field at the centre due to the remaining portion?

<p>Q / (2πε₀R) (D)</p> Signup and view all the answers

How does the electric field vary with distance x along the x-axis for a two-point charge system separated by 2a?

<p>1/(x - a) + 1/(x + a) (C)</p> Signup and view all the answers

If the charges on the two point charges A and B are +Q and -Q respectively, and the force between them is F, what would be the force between them if 25% of the charge of A is transferred to B?

<p>16F/9 (D)</p> Signup and view all the answers

If the charge of a proton is -e and that of an electron is e + ∆e, what would be the order of ∆e if the net of electrostatic force and gravitational force between two hydrogen atoms at a distance d apart is zero?

<p>10^(-37) C (B)</p> Signup and view all the answers

Two identical charged spheres suspended from a common point by two massless strings of lengths l are initially at a distance d apart. What is the nature of the force between them?

<p>Repulsive electrostatic force (B)</p> Signup and view all the answers

If the force between two point charges is F, what would be the force between them if their charges are both doubled?

<p>16F (B)</p> Signup and view all the answers

Two point charges of +Q and -Q are placed at a certain distance apart, resulting in a force F between them. What would be the force between them if the charges are interchanged?

<p>-F (B)</p> Signup and view all the answers

What is the condition for the time period of the pendulum bob to be greater than 2π?

<p>qE0t &gt; 2π (C)</p> Signup and view all the answers

What is the dielectric constant k of the liquid if the angle θ remains the same?

<p>ρ-σ / ρ (D)</p> Signup and view all the answers

What is the change in momentum Dp of the particle during any time interval t?

<p>qE0t (D)</p> Signup and view all the answers

What is the electric intensity outside a charged sphere of radius R at a distance r(r > R)?

<p>σR² / ε₀r² (C)</p> Signup and view all the answers

What is the velocity acquired by the electron as it travels a distance l?

<p>√(2Eq / ml) (B)</p> Signup and view all the answers

What is the electric field line configuration in the figure?

<p>Radial electric field lines emanating from point A (C)</p> Signup and view all the answers
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