Physics MCQs for NEET — Practice Questions with Answers

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Which of the following statements is TRUE regarding the behavior of a conductor and a dielectric when placed in an external electric field?

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Explanation

According to the NCERT text, 'In a dielectric, this free movement of charges is not possible. It turns out that the external field induces dipole moment by stretching or re-orienting molecules of the dielectric. The collective effect of all the molecular dipole moments is net charges on the surface of the dielectric which produce a field that opposes the external field. Unlike in a conductor, however, the opposing field so induced does not exactly cancel the external field. It only reduces it.' For a conductor, 'the electric field due to induced charges opposes the external field within the conductor. This happens until, in the static situation, the two fields cancel each other and the net electrostatic field in the conductor is zero.'

For a non-polar molecule placed in an external electric field, what is the primary mechanism leading to its polarization?

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Explanation

The NCERT states: 'In an external electric field, the positive and negative charges of a non-polar molecule are displaced in opposite directions. The displacement stops when the external force on the constituent charges of the molecule is balanced by the restoring force (due to internal fields in the molecule). The non-polar molecule thus develops an induced dipole moment.'

Which of the following commonly describes molecules like oxygen ($\text{O}_2$) and hydrogen ($\text{H}_2$) due to their symmetry, in the context of dielectrics?

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Explanation

The text states: 'In a non-polar molecule, the centres of positive and negative charges coincide. The molecule then has no permanent (or intrinsic) dipole moment. Examples of non-polar molecules are oxygen (O$_2$) and hydrogen (H$_2$) molecules which, because of their symmetry, have no dipole moment.'

The dipole moment per unit volume of a dielectric material is defined as:

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Explanation

The NCERT states: 'The dipole moment per unit volume is called polarisation and is denoted by P.'

For linear isotropic dielectrics, the relationship between Polarization (P), electric susceptibility ($\chi_e$), and external electric field (E) is given by:

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Explanation

The NCERT explicitly states the formula: 'For linear isotropic dielectrics, $P = \epsilon_0 \chi_e E$ (2.37)' where $\chi_e$ is the electric susceptibility.

When a dielectric slab is placed in a uniform external electric field, the net charges observed at its surfaces normal to the field are:

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Explanation

The NCERT explains: 'However, at the surfaces of the dielectric normal to the electric field, there is evidently a net charge density... The unbalanced charges are the induced charges due to the external field. Thus, the polarised dielectric is equivalent to two charged surfaces with induced surface charge densities... We should note that the surface charge density $\pm \sigma_p$ arises from bound (not free charges) in the dielectric.'

How does the electric field inside a polarized linear dielectric slab, subjected to an external electric field ($E_0$), compare to the external field?

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Explanation

The text states: 'The field produced by these surface charges opposes the external field. The total field in the dielectric is, thereby, reduced from the case when no dielectric is present.'

The dielectric constant (K) of a substance is defined as the ratio of its permittivity ($\epsilon$) to the permittivity of free space ($\epsilon_0$). Based on the provided context, for any dielectric (K > 1), how does the capacitance (C) of a capacitor with the dielectric relate to its capacitance in vacuum (C$_0$)?

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Explanation

The NCERT provides the relationship: '$C = K C_0$ (2.54)'. It also states: 'Thus, the dielectric constant of a substance is the factor (>1) by which the capacitance increases from its vacuum value, when the dielectric is inserted fully between the plates of a capacitor.'

For polar molecules in the absence of an external electric field, their permanent dipoles are oriented randomly. What causes this random orientation?

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Explanation

The text explains for polar molecules: 'In the absence of any external field, the different permanent dipoles are oriented randomly due to thermal agitation; so the total dipole moment is zero.'

When an external electric field is applied to a dielectric composed of polar molecules, what two factors determine the extent of polarization?

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Explanation

As per the NCERT: 'The extent of polarisation depends on the relative strength of two mutually opposite factors: the dipole potential energy in the external field tending to align the dipoles with the field and thermal energy tending to disrupt the alignment.'

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