Electric Field and Charged Particles Quiz

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Questions and Answers

What property of the charge -q moving around the fixed charge +Q in an elliptical orbit remains constant?

  • Linear momentum
  • Linear speed
  • Angular momentum (correct)
  • Angular velocity

In the scenario of a charge -q moving around a fixed charge +Q, which momentum is not constant?

  • Angular momentum
  • Linear momentum (correct)
  • Linear speed
  • Angular velocity

What remains constant in the motion of the charge -q around the fixed charge +Q?

  • Linear momentum
  • Angular velocity
  • Angular momentum (correct)
  • Linear speed

Which parameter is constant for the charge -q moving in an elliptical orbit around the fixed charge +Q?

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

If the net electrical force on charge Q at the corner of a square is zero, what is the ratio Q/q?

<p>-1/2 (B)</p> Signup and view all the answers

In a scenario where a charged ball hangs from a silk thread and makes an angle θ with a large uniformly charged sheet, what is the proportionality between surface charge density σ and cosθ?

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

If a Gaussian surface is symmetrical to the charge distribution, how does this affect the evaluation of the flux integral?

<p>It makes the flux integral easier to evaluate. (A)</p> Signup and view all the answers

What is the net charge inside the closed Gaussian surface if the inward and outward electric fluxes are 8 * 10^3 and 4 * 10^3 units, respectively?

<p>-4 * 10^3 C (A)</p> Signup and view all the answers

In the figure, ABC is an equilateral triangle with a charge +q placed at each corner. What is the electric field intensity at the center point O?

<p>$\frac{3q}{4\pi\epsilon_0r^2}$ (D)</p> Signup and view all the answers

A small sphere carrying a charge 'q' is hanging by a string of length L between two parallel plates. The time period of the pendulum is T0 without the electric field. When the parallel plates are charged, creating a uniform electric field E, the time period changes to T. What is the ratio T/T0?

<p>$\sqrt{\frac{g + \frac{qE}{m}}{g}}$ (A)</p> Signup and view all the answers

In the figure, if charges q1, q2, q3, and q4 are placed at the points shown, and a spherical Gaussian surface of radius R is drawn, what is the net charge inside the Gaussian surface?

<p>The net charge cannot be determined from the information given. (B)</p> Signup and view all the answers

Which of the following statements about Gauss's law is correct?

<p>Gauss's law relates the electric flux through a closed surface to the net charge enclosed by that surface. (D)</p> Signup and view all the answers

According to Gauss's law, which of the following statements is true?

<p>$\oint (E_1 + E_2 + E_3 + E_4).dA = q_1 + q_2 + q_3$ (A)</p> Signup and view all the answers

For a uniform positively charged non-conducting ball with charge $q$ hanging from a rigid support, and another charged ball with charge $q_0$ placed at a distance $r$ from $q$, the ratio of the electric field at $P$ to the force $F$ on $q_0$ is:

<p>Equal to $F/q_0$ (D)</p> Signup and view all the answers

Which of the following patterns of electric field lines is not possible for the field produced by a static charge?

<p>Straight parallel pattern (B)</p> Signup and view all the answers

For three point charges $Q_1$, $Q_2$, and $Q_3$ placed equally spaced along a straight line, where $Q_2$ and $Q_3$ are equal in magnitude but opposite in sign, which of the following statements is true?

<p>The electric field intensity at the middle point is zero (B)</p> Signup and view all the answers

For the electric field lines shown in the figure, which of the following statements is true?

<p>EA = EC &gt; EB (D)</p> Signup and view all the answers

Three positive charges of equal value $q$ are placed at the vertices of an equilateral triangle. The resulting lines of force should be sketched as in:

<p>Figure (1) (C)</p> Signup and view all the answers

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