This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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You're on a roll — Here are the detailed solutions for the questions: Question 1: The magnitude of the charge on an electron is approximately: Step 1: Recall the standard value for the elementary charge. The magnitude of the charge on a single electron is a fundamental physical constant, known as the elementary charge. Its value is approximately 1.602 × 10^-19 Coulombs (C). Step 2: Compare this value with the given options. We are looking for an approximation, specifically the correct order of magnitude. 10^23 C is incorrect. 10^-21 C is incorrect. 10^19 C is incorrect. 10^-19 C matches the correct order of magnitude. The final answer is D) 10^-19 C. --- Question 2: The total negative charge on the electrons in 1 mol of helium (atomic number 2, molar mass 4) is: Step 1: Determine the number of electrons per helium atom. Helium (He) has an atomic number of 2. In a neutral atom, the number of electrons is equal to the atomic number. Therefore, each helium atom has 2 electrons. Step 2: Calculate the total number of electrons in 1 mol of helium. One mole of any substance contains Avogadro's number (N_A) of particles. N_A = 6.022 × 10^23 atoms/mol Since each helium atom has 2 electrons, the total number of electrons in 1 mol of helium is: Total electrons = (Number of electrons per atom) × N_A Total electrons = 2 × (6.022 × 10^23) Total electrons = 1.2044 × 10^24 electrons Step 3: Calculate the total negative charge. The charge of a single electron (e) is approximately 1.602 × 10^-19 C. The total negative charge is the product of the total number of electrons and the charge of one electron: Total charge = (Total electrons) × e Total charge = (1.2044 × 10^24) × (1.602 × 10^-19 C) Total charge ≈ 1.929 × 10^5 C Step 4: Compare the calculated value with the given options. A) 4.8 × 10^4 C B) 9.6 × 10^4 C C) 1.9 × 10^5 C D) 3.8 × 10^5 C The calculated value 1.929 × 10^5 C is closest to 1.9 × 10^5 C. The final answer is C) 1.9 × 10^5 C. --- Question 3: An electrical insulator is a material: Step 1: Understand the definition of an electrical insulator. An electrical insulator is a material that resists the flow of electric current. This means that electrons within the material are not free to move easily from atom to atom. Step 2: Evaluate each option based on this definition. A) containing no electrons*: All matter contains electrons. This statement is incorrect. B) through which electrons do not flow easily*: This accurately describes an electrical insulator. The electrons are tightly bound to their atoms and require a large amount of energy to become mobile. C) cannot be a pure chemical element*: Many pure chemical elements, such as sulfur or phosphorus, are excellent insulators. Diamond (a form of carbon) is also an insulator. This statement is incorrect. D) must be a crystal*: Insulators can be amorphous (non-crystalline) solids, such as glass or rubber. This statement is incorrect. The final answer is B) through which electrons do not flow easily. Got more? Send 'em!