These types of competitive mcqs appear in the exams like MHT-CET, NEET, JEE (Mains), and other Competitive Examinations, etc. We created all the competitive exammcqs into several small posts on our website for your convenience.
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The energy density of a medium varies how with its dielectric constant?
a) Directly proportional to the dielectric constant
b) Directly proportional to the square of the dielectric constant
c) Inversely proportional to the square of the dielectric constant
d) Inversely proportional to the dielectric constant
Explanation: The question focuses on how energy stored per unit volume in a dielectric medium depends on its dielectric constant, which describes how easily a material becomes polarized in an Electric Field. In Electrostatics, energy density is linked to the Electric Field strength and the material’s ability to permit Electric Field formation inside it. A dielectric reduces the effective Electric Field compared to vacuum due to polarization of its molecules. This polarization stores electrical energy within the medium. The dielectric constant acts as a scaling factor that modifies field behavior and energy storage characteristics. When analyzing such relationships, it is important to consider how the medium influences field intensity and how energy density depends on both the applied field and material response. The interplay between polarization and field reduction determines the variation pattern, which is derived from fundamental electrostatic energy expressions involving permittivity and field strength. Overall, the concept connects material properties with electromagnetic energy storage behavior in a dielectric medium, showing how microscopic Molecular alignment impacts macroscopic energy distribution.
Option d – Inversely proportional to the dielectric constant
Which of the following substances is a polar dielectric?
a) H₂
b) N₂
c) CO₂
d) HCl
Explanation: This question deals with classification of molecules based on charge distribution. A polar dielectric consists of molecules where the centers of positive and negative charges do not coincide, creating a permanent dipole moment. Such molecules behave differently in an Electric Field because they tend to align themselves with the field direction. The concept is rooted in Molecular structure and electronegativity differences between atoms. When atoms share electrons unevenly, one side of the Molecule becomes slightly negative while the other becomes slightly positive, resulting in polarity. This permanent separation of charge influences how the material responds to external electric fields and contributes to dielectric behavior. In contrast, nonpolar substances have symmetric charge distribution and no permanent dipole moment, although they may still become polarized under an external field. Understanding this distinction is essential in dielectric theory, as it determines Molecular alignment, polarization strength, and overall electrical behavior of the material in different conditions.
Option d – HCl
The energy per unit volume of a dielectric medium is:
a) Directly proportional to the square of the Electric Field intensity
b) Directly proportional to the square of the surface charge density
c) Directly proportional to the charge
d) Both (a) and (b)
Explanation: The question refers to how electrical energy is stored inside a dielectric material when it is placed in an Electric Field. Energy per unit volume, also called energy density, depends on how strongly the Electric Field acts within the medium and how the material responds through polarization. When a dielectric is introduced, its molecules align partially with the applied field, reducing the effective field inside. This interaction leads to stored electrostatic energy distributed throughout the material’s volume. The concept is derived from the relationship between Electric Field strength and permittivity of the medium. The stronger the field, the greater the energy stored, but the presence of a dielectric modifies this storage due to internal Molecular alignment. This makes energy storage dependent on both field intensity and material properties. The study of this helps in understanding Capacitors and insulating materials where energy is stored in electric fields rather than in moving charges, linking microscopic polarization effects to macroscopic energy behavior in electrical systems.
Option d – Both (a) and (b)
A Molecule whose positive nuclei and revolving electrons’ centers of gravity do not coincide is called:
a) Dielectric
b) Polar dielectric
c) Nonpolar dielectric
d) Cannot be predicted
Explanation: This question is based on Molecular polarity and charge distribution. When the centers of positive nuclear charge and negative electronic charge in a Molecule are not at the same point, the Molecule develops a permanent electric dipole moment. This happens due to unequal sharing of electrons between atoms with different electronegativities, leading to charge separation within the Molecule. Such molecules behave differently in external electric fields because they experience torque that tends to align them with the field direction. This structural asymmetry is a key characteristic used to distinguish types of dielectric materials. The internal separation of charges creates directional electrical properties, making the Molecule responsive even without an external field. Understanding this concept is essential in dielectric theory, as it explains how Molecular structure influences macroscopic electrical behavior such as polarization, alignment, and energy storage in insulating materials under electric influence.
Option b – Polar dielectric
Which of the following represents a nonpolar dielectric?
a) CH₃
b) CH₄
c) OH
d) HCl
Explanation: The question is about identifying materials in which charge distribution within molecules is symmetric. In nonpolar dielectrics, the centers of positive and negative charges coincide, meaning there is no permanent dipole moment present. These molecules do not have inherent charge separation, so they do not naturally align in an external Electric Field unless induced polarization occurs. Their behavior is mainly due to temporary displacement of charge under applied fields rather than permanent Molecular structure. This symmetry results in weaker interaction with electric fields compared to polar molecules. Nonpolar substances often consist of identical atoms or symmetrical Molecular structures where electronegativity differences are negligible. Their dielectric behavior is important in understanding how materials resist electric field penetration while still allowing temporary polarization effects. The distinction between polar and nonpolar dielectrics is crucial for analyzing how different insulating materials behave in Capacitors and other electric field applications.
Option b – CH₄
A dielectric material essentially functions as a:
a) Insulator
b) Conductor
c) Semiconductor
d) Resistor
Explanation: This question addresses the fundamental role of dielectric materials in electric fields. A dielectric is a substance that does not allow free flow of electric charge, meaning it does not conduct Electricity under normal conditions. Instead, it supports electrostatic fields by becoming polarized when exposed to an external electric field. The bound charges within the material slightly shift, creating induced dipoles that oppose the applied field and reduce its effective strength. This ability to store and manage electric field energy without conducting current is what defines its primary function. Dielectrics are widely used in Capacitors to increase energy storage capacity by reducing effective field strength inside the device. Their insulating nature ensures that charge does not flow freely, while their polarization properties allow controlled energy storage in electric fields. This dual behavior makes them essential in electrical and electronic systems where controlled insulation and energy storage are required.
Option a – Insulator
A Molecule in which the centers of gravity of positive nuclei and electrons coincide is known as:
a) Dielectric
b) Polar dielectric
c) Nonpolar dielectric
d) Cannot be predicted
Explanation: This question focuses on Molecular symmetry and electrical neutrality distribution. When the centers of positive nuclear charge and negative electronic charge coincide, the Molecule has no permanent dipole moment. Such molecules are electrically symmetrical, meaning charge distribution is uniform throughout the structure. Because of this symmetry, they do not exhibit inherent polarity and do not align spontaneously in an external electric field. However, they can still become temporarily polarized when exposed to a field due to slight displacement of charges. This behavior distinguishes them from polar molecules, which have permanent separation of charge. The concept is important in understanding dielectric classification, as it determines how materials interact with electric fields at the Molecular level. The absence of intrinsic dipole moment leads to weaker interaction with fields, influencing their dielectric response and role in insulating materials.
Option c – Nonpolar dielectric
The dipole moment per unit volume of a dielectric is called:
a) Polarisation density
b) Dielectric constant
c) Polar dielectrics
d) Nonpolar dielectrics
Explanation: This question refers to a macroscopic measure of how strongly a dielectric material is polarized. When a dielectric is placed in an electric field, its molecules develop or align dipole moments. The combined effect of all these molecular dipoles over a given volume is measured as polarization density. This quantity represents how much dipole moment is present in a unit volume of the material. It is directly related to how effectively the material responds to an external electric field. Higher polarization density indicates stronger alignment or induced dipole formation within the dielectric. This concept connects microscopic molecular behavior with macroscopic electrical properties. It is crucial in understanding how materials behave in Capacitors and electric fields, as it explains how internal molecular alignment contributes to overall field modification and energy storage within insulating substances.
Option a – Polarisation density
An electric charge produces a field of 300 V/m in air. If the air is replaced by a medium of dielectric constant 3, the field intensity at the same point becomes:
a) 300 V/m
b) 100 V/m
c) 900 V/m
d) 50 V/m
Explanation: This question deals with the effect of a dielectric medium on electric field strength. When a dielectric material replaces air, the electric field created by a charge gets reduced due to polarization of the medium. The dielectric constant represents how strongly a material can reduce the effective field inside it compared to vacuum or air. A higher dielectric constant means greater reduction in field intensity because the induced charges within the material oppose the original field. This occurs because molecular dipoles form and align in such a way that they partially cancel the external field. The result is a weakened NET electric field in the medium. This principle is fundamental in Electrostatics and explains why Capacitors with dielectric materials can store more charge at lower field strengths. The reduction factor is directly linked to the dielectric constant, showing the influence of material properties on electric field behavior.
Option b – 100 V/m
A metal sphere of radius 5 cm is charged to 100 V. The electric field intensity at its surface is:
a) 1000 V/m
b) 5000 V/m
c) 2500 V/m
d) 2000 V/m
Explanation: This question relates to electric field behavior at the surface of a charged conductor. For a conducting sphere, charge resides on the surface, and the electric field just outside the surface depends on the potential and radius of the sphere. The relationship between electric field and potential involves spatial variation of electric potential with distance from the center. Smaller radii result in stronger fields for the same potential because the field is related to how rapidly potential changes with distance. In conductors, the field inside is zero, and all the electrostatic effects appear at the surface. The curvature of the sphere plays an important role in determining field intensity. This concept is essential in Electrostatics, especially in understanding how charge distribution affects electric field strength on conducting surfaces and why sharp or small-radius objects produce stronger fields compared to larger ones at the same potential.
Option d – 2000 V/m
We covered all the important Questions for Class 12HSCPhysics chapter wise above in this post for free so that you can practice well for the exam.
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