Physics Oil Drop Experiment and Charges Quiz

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Which path do the lines of force follow in the figure shown?

4 4 2

3 4 4

2 3 3

1 1 2 1 2 (correct)

In Millikan's oil drop experiment, if the potential difference required to hold a drop of half the radius stationary is 600 V, what is the charge on the second drop?

$2Q$

$\frac{3Q}{4}$ (correct)

$\frac{Q}{2}$

Q

Equal charges $q$ are placed at the vertices A and B of an equilateral triangle ABC of side $a$. What is the magnitude of the electric field at the point C?

$\frac{3q}{4\pi\epsilon_0a^2}$

$\frac{q}{4\pi\epsilon_0a^2}$

$\frac{2q}{4\pi\epsilon_0a^2}$ (correct)

$\frac{q}{2\pi\epsilon_0a^2}$

An electron of mass $m_e$ and a proton of mass $m_p$ are both initially at rest and move through the same distance in a uniform electric field. If the time taken by the electron is $t_1$ and the time taken by the proton is $t_2$, the ratio $\frac{t_1}{t_2}$ is nearly equal to:

$\sqrt{\frac{m_p}{m_e}}$ Signup and view all the answers

Which of the following statements about the electric field lines shown in the figure is correct?

E_A = E_C ≠ E_B Signup and view all the answers

Three identical point charges are placed at the vertices of an isosceles right-angled triangle. What can be concluded about the electric field at the vertex of the right angle?

The electric field is zero at the vertex of the right angle. Signup and view all the answers

What are the coordinates of point R?

(a, −b, 0) Signup and view all the answers

Which expression represents the work done by the field in the process?

qE[(2a)² + b²] Signup and view all the answers

What does the graph of the electric field due to a uniformly charged sphere of radius R as a function of distance look like?

R/r Signup and view all the answers

How is the electrical field along a line (passing through the centre) of two concentric conducting spherical shells A and B with charges QA and -QB?

(rA/rB)x Signup and view all the answers

If a solid conducting sphere of radius a has a net positive charge 2Q and a conducting spherical shell around it has a net charge -Q, what is the surface charge density on the outer surface of the shell?

-Q / (4πc²) Signup and view all the answers

If two charges in air repel each other with a force of 10^(-4) N and in oil with a force of 2.5 × 10^(-5) N, what is the dielectric constant of oil?

4.0 Signup and view all the answers

If two metallic spheres of the same radii, one solid and one hollow, are given equal charges, which statement is correct?

The solid sphere will have a higher surface charge density. Signup and view all the answers

If a charge $q$ is placed at the center of a line joining two equal charges $Q$, for the system to be in equilibrium, the value of $q$ must be:

$q = -Q/4$ Signup and view all the answers

In the diagram showing electric field lines emerging from a charged body, if the electric field strengths at points A and B are $E_A$ and $E_B$, respectively, and the displacement between A and B is $r$, which relationship is correct?

$E_A = E_B/r$ Signup and view all the answers

To produce an electric field of $0.036 N/C$ just above the surface of a spherical conductor with a radius of $0.1 m$, the number of electrons that need to be placed on the conductor is approximately:

$2.6 \times 10^5$ Signup and view all the answers

In the diagram showing an uncharged metal sphere between two charged plates, the lines of force indicate that the metal sphere will:

Acquire a negative charge Signup and view all the answers

When an uncharged capacitor is connected to a battery, what happens initially?

Charges flow from the battery to the capacitor plates, creating an electric field. Signup and view all the answers