Final answer:
The statements regarding interference, vector addition, and wave-particle duality in physics are true or false as follows: There are constructive and destructive interference (True), vector resultant angle cannot be found with only angles (False), Pythagorean theorem can be used for vectors at right angles (True), different frequency waves can superimpose (True), a vector can form a right angle triangle with components (True), and wave-particle duality is not for macroscopic objects (False).
Step-by-step explanation:
True or False: The two types of interference are constructive and destructive interferences. The statement is true. Constructive interference occurs when two waves meet in phase and their amplitudes add together, while destructive interference happens when they meet out of phase and their amplitudes partially or completely cancel each other out.
True or False: If only the angles of two vectors are known, we can find the angle of their resultant addition vector. This statement is false. Knowing only the angles without the magnitude of the vectors does not provide enough information to determine the resultant vector's angle.
True or False: We can use Pythagorean theorem to calculate the length of the resultant vector obtained from the addition of two vectors which are at right angles to each other. This statement is true. When vectors are at a right angle, their magnitudes form the sides of a right-angled triangle, and the Pythagorean theorem can be used to find the length of the resultant vector, which is the hypotenuse.
True or False: Waves can superimpose if their frequencies are different. The statement is true. Waves of different frequencies can indeed superimpose, although the resulting pattern may be complex and not periodic.
True or False: A vector can form the shape of a right angle triangle with its x and y components. This statement is true. Any vector in two dimensions can be broken down into its x (horizontal) and y (vertical) components, forming a right-angled triangle.
True or False: Wave-particle duality exists for objects on the macroscopic scale. The statement is false. Wave-particle duality is a property observed at the quantum level for particles such as electrons and photons, and it is not typically observed in macroscopic objects.