Arrange the following steps in the correct sequence to charge a single metal sphere positively by electrostatic induction using a negatively charged plastic rod: 1. Bring the negatively charged rod close to the uncharged metal sphere without touching it. 2. Disconnect the ground connection while keeping the charged rod in place. 3. Connect the metal sphere to the ground (earthing) while the rod is held near. 4. Remove the negatively charged rod, allowing the positive charge to distribute uniformly over the sphere. Select the correct sequence from the options given below:
Options:
- A: 1 -> 2 -> 3 -> 4
- B: 1 -> 3 -> 2 -> 4
- C: 3 -> 1 -> 2 -> 4
- D: 1 -> 3 -> 4 -> 2
Related Practice Questions:
- Let $S_1$ and $S_2$ be two disjoint, non-empty convex sets in $\mathbb{R}^n$. Under which of the following conditions is there guaranteed to exist a hyperplane that strictly separates $S_1$ and $S_2$?
- Let the primal linear programming problem be: Maximize $Z = c^T x$ subject to $Ax \le b, x \ge 0$. If this primal problem has an unbounded optimal objective value, then which of the following statements is always true regarding its dual problem?
- Let $S = \{(x, y) \in \mathbb{R}^2 \mid x^2 + y^2 \le 9\}$ be a convex set in $\mathbb{R}^2$. The set of all extreme points of $S$ is given by:
- In a linear programming problem with $3$ independent equality constraints and $5$ variables (including slack/surplus variables), what is the maximum possible number of basic solutions?