List of top Questions asked in CUET (PG)

Which statement correctly describes Gauss law for magnetism
• The net Magnetic flux through any closed surface is Zero
• Magnetic field lines always form closed loops
• Isolated magnetic monopole exists.
• The source of magnetic field are electric currents or changing electric fields. Choose the correct answer from the options given below:

Arrange the following in terms of their increasing electrical resistance value
• Semiconductors
• Superconductors
• Metals
• Insulators Choose the correct answer from the options given below:

Arrange the following electromagnetic radiations in increasing order of their frequency
• X-rays
• Infrared rays
• Visible rays
• Gamma rays Choose the correct answer from the options given below:

Intensity the correct order for electric field due to Electric dipole at a point P along the dipole axis at distance \(Z\) from dipole's midpoint when
• \(Z\) is halved
• \(Z\) is doubled
• \(Z\) remains same
• \(Z\) is made three times Choose the correct answer from the options given below:

The first law of thermodynamics is a statement of
• Conservation of momentum
• Conservation of energy
• Conservation of mass
• The law of entropy

Assertion A: Electrons exist in sharp and specific orbits Reason R: The Schr\"odinger equation describes orbits as probability distributions In the light of the above statements, choose the most appropriate answer from the options given below
• Both A and R are correct and R is the correct explanation of A
• Both A and R are correct but R is NOT the correct explanation of A
• A is correct but R is not correct
• A is not correct but R is correct

Arrange the following in terms of increasing dimension of quantum confinement of electrons at nanoscale
• Quantum Dot
• Bulk Material
• Quantum Well
• Quantum Wire Choose the correct answer from the options given below:

Assertion A: Entropy is a state function Reason R: Its value is independent of initial and final states and depends on path taken In the light of the above statements, choose the most appropriate answer from the options given below
• Both A and R are correct and R is the correct explanation of A
• Both A and R are correct but R is NOT the correct explanation of A
• A is correct but R is not correct
• A is not correct but R is correct

Assertion A: Superconductivity arises from electrons forming Cooper pairs due to electron phonon interaction Reason R: Cooper pairs have lower energy and move without scattering leading to zero resistance In the light of the above statements, choose the most appropriate answer from the options given below
• Both A and R are correct and R is the correct explanation of A
• Both A and R are correct but R is NOT the correct explanation of A
• A is correct but R is not correct
• A is not correct but R is correct

Zero point energy is a direct consequence of
• Pauli's exclusion principle
• Heisenberg uncertainty principle
• Conservation of energy
• The Schr\"odinger equation's linearity

Find the ground state energy (in eV) of a harmonic oscillator with \(\omega=10^{15}\ \text{rad/s}\)
• \(0.5\ \text{eV}\)
• \(0.33\ \text{eV}\)
• \(0.25\ \text{eV}\)
• \(0.66\ \text{eV}\)

The displacement current term was added to Ampere's law by Maxwell to ensure
• Conservation of energy
• Consistency with the continuity equation
• The speed of light is constant
• Magnetic fields are circular

The radial part of Hydrogen atom wavefunction depends on which quantum number
• \(n\) only
• \(n\) and \(l\)
• \(l\) and \(m\)
• \(n\), \(l\) and \(m\)

The Poynting vector \( \vec S=\vec E\times\vec H \) represents
• Charge density
• Energy flow per unit area per unit time
• Momentum density
• Magnetic force

The missing order in a double slit diffraction pattern occurs when
• Slit width equal slit separation
• The condition for interference maxima and diffraction minima coincide
• The wavelength is very small
• The screen is too far

For a particle in a 1D infinite square well of width \(L\), the energy levels are proportional to
• \(n\)
• \(n^2\)
• \(\dfrac{1}{n}\)
• \(\dfrac{1}{n^2}\)

What is the meaning of coherent sources of light?
• Sources that emit light with high intensity
• Sources that emit light at the same color only
• Sources that maintain a constant phase difference between them
• Sources that emit light continuously without interruption

In Young's double slit experiment, if the distance between the slits is halved and the distance to the screen is doubled, then the fringe width becomes
• Halved
• Doubled
• Four times
• Remain the same

Select the correct statement about enthalpy
• Enthalpy is a state function
• For a reaction carried out at constant pressure, the heat absorbed or released is equal to the enthalpy change
• The enthalpy change of a reaction depends on the path followed by the reaction
• Breaking chemical bonds always requires absorption of energy Choose the correct answer from the options given below:
• B, C & D Only
• A, B & D Only
• A & B Only
• A, C & D Only

Arrange the following in order of their increasing atomic number \[ A.\ \mathrm{V} \] \[ B.\ \mathrm{Sc} \] \[ C.\ \mathrm{Mn} \] \[ D.\ \mathrm{Ni} \] Choose the correct answer from the options given below:
• \( \mathrm{C < D < A < B} \)
• \( \mathrm{A < B < C < D} \)
• \( \mathrm{B < C < A < D} \)
• \( \mathrm{B < A < C < D} \)

Choose the molecular compound only, from the following: \[ A.\ \mathrm{KI} \] \[ B.\ \mathrm{H_2O_2} \] \[ C.\ \mathrm{CHCl_3} \] \[ D.\ \mathrm{Li_2CO_3} \] Choose the correct answer from the options given below:
• A, B & C Only
• B & C Only
• B, C & D Only
• A, B & D Only

Identify the correct statements regarding organometallic compounds
• Organometallic compounds contain at least one direct metal-carbon bond
• Grignard reagents behave as strong nucleophiles and bases
• Organolithium compounds are generally more reactive than Grignard reagents
• Organometallic compounds are stable in the presence of moisture and air Choose the correct answer from the options given below:
• B, C & D Only
• A, B, C & D Only
• A, B & C Only
• B & C Only

Choose the correct statements
• Nanomaterials show tunable band gap energies
• Nanomaterials offers enhanced catalytic properties compared to their bulk counterparts
• Nanomaterials have fixed band gap energies
• At nanoscale, color will tell you the size or vice-versa Choose the correct answer from the options given below:
• A, B, C & D Only
• A, B, & D Only
• B, C & D Only
• A & D Only

Arrange the following steps in the correct sequence to calculate the electrode potential of a polymer electrolyte system using the Nernst equation. \[ A.\ \text{Substitute value into the Nernst equation} \] \[ B.\ \text{Write the balanced electrode reaction} \] \[ C.\ \text{Identify the ionic species and their concentration in polymer electrolyte} \] \[ D.\ \text{Calculate the electrode potential under non-standard conditions} \] Choose the correct answer from the options given below:
• \( \mathrm{C \rightarrow B \rightarrow A \rightarrow D} \)
• \( \mathrm{B \rightarrow C \rightarrow A \rightarrow D} \)
• \( \mathrm{B \rightarrow A \rightarrow C \rightarrow D} \)
• \( \mathrm{A \rightarrow B \rightarrow C \rightarrow D} \)

Arrange the following carbocations in increasing stability order \[ A.\ \mathrm{CH_3^+} \] \[ B.\ 1^\circ \] \[ C.\ 2^\circ \] \[ D.\ 3^\circ \] Choose the correct answer from the options given below:
• \( \mathrm{B < A < C < D} \)
• \( \mathrm{A < B < C < D} \)
• \( \mathrm{D < C < B < A} \)
• \( \mathrm{C < B < A < D} \)