Electric Field and Charge

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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?

Principle of Superposition Signup and view all the answers

What is the dimensional formula for electric field intensity?

MLT-3 A-1 Signup and view all the answers

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

The electric field lines must be normal to the sphere 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?

Towards the line charge Signup and view all the answers

What is the electric flux through an area element ΔS?

E ΔS cos θ Signup and view all the answers

What is the unit of electric flux?

Nm²C-1 Signup and view all the answers

What is the mathematical representation of Gauss's law?

φE = ∫E ⋅ dS = q / ε₀ Signup and view all the answers

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

θ is the angle between E and ΔS Signup and view all the answers

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

Radial direction 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 / (4πε₀R²sinθ) 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?

It decreases 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?

1/r² 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?

3.2 × 10⁵ ms⁻¹ 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?

Q / (2πε₀R) 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?

1/(x - a) + 1/(x + a) 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?

16F/9 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?

10^(-37) C 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?

Repulsive electrostatic force 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?

16F 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?

-F Signup and view all the answers

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

qE0t > 2π Signup and view all the answers

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

ρ-σ / ρ Signup and view all the answers

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

qE0t Signup and view all the answers

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

σR² / ε₀r² Signup and view all the answers

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

√(2Eq / ml) Signup and view all the answers

What is the electric field line configuration in the figure?

Radial electric field lines emanating from point A Signup and view all the answers