Consider the following statements regarding the fundamental properties of electromagnetic waves: 1. Electromagnetic waves carry both energy and momentum, and therefore exert radiation pressure on any surface they strike. 2. In a vacuum, the ratio of the amplitude of the electric field to the amplitude of the magnetic field is equal to the speed of light. 3. Unlike mechanical waves, electromagnetic waves do not require any material medium for their propagation. Which of the statements given above are correct?
Options:
- A: 1 and 3 only
- B: 1, 2 and 3
- C: 2 and 3 only
- D: 1 and 2 only
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?