Difficulty: Easy
Correct Answer: A is true but R is false
Explanation:
Introduction / Context:
This question distinguishes the material-dependent relative permittivity εr from the universal constant ε0 (vacuum permittivity). It tests whether learners can identify which parameter reflects microstructure.
Given Data / Assumptions:
Concept / Approach:
ε0 is a physical constant of vacuum and does not depend on any material. By contrast, εr depends on how bound charges in matter polarize under an applied field; it is set by electronic, ionic, and orientational polarizabilities governed by atomic and molecular structure. Therefore, A is true and R is false.
Step-by-Step Solution:
Write ε = ε0 εr.Recognize ε0 as constant (property of free space).Connect εr to polarization P via P = ε0(εr − 1)E → material microstructure determines εr.
Verification / Alternative check:
Clausius–Mossotti and Debye relations explicitly tie εr to number density and polarizability, confirming the material dependence of εr.
Why Other Options Are Wrong:
(a) and (b) incorrectly attribute material dependence to ε0. (d) flips truth values. (e) denies the well-established facts.
Common Pitfalls:
Final Answer:
A is true but R is false
Discussion & Comments