Joint Entrance Exam Advanced (JEE Advanced)

Joint Admission Board (JAB-IITs-IISc)

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Fani Warraich PHYSICS   -   Electromagnetism

The Net Magnetic flux from any closed surface is

This is because the net magnetic flux through any closed surface is always zero. This is known as Gauss's law for magnetism. It is a consequence of the fact that there are no magnetic monopoles, meaning that magnetic field lines always form closed loops.
Shalisha Ladawn PHYSICS   -   Classical Mechanics

Electric displacement current through a surface S is by definition proportional to the

Shalisha Ladawn PHYSICS   -   Classical Mechanics

Classical mechanics explains how _______ moves.

Fani Warraich CHEMISTRY   -   Biochemistry

DNA model was presented by Watson and Crick in

Fani Warraich CHEMISTRY   -   Biochemistry

The "energy carrier" ATP is an example of a(n)

Fani Warraich CHEMISTRY   -   Biochemistry

S-adenosyl methionine is a group donor of

Fani Warraich CHEMISTRY   -   Biochemistry

When DNA is heated, the temperature at which ________ of the helical structure is lost is defined as the melting temperature.

Fani Warraich CHEMISTRY   -   Biochemistry

Nucleotides also serve as carriers of activated intermediates in the synthesis of

Fani Warraich MATHEMATICS   -   Algebra

Solve the equation 2/6 (3a + 2b) – 1/2 (2a + 4b) -2(12a – 6b)?

Fani Warraich MATHEMATICS   -   Calculus

The solution set of the inequality |x + 4| ≥ 2 is

Gitofa Shah PHYSICS   -   Quantum Mechanics

Which of the following statements about the Heisenberg Uncertainty Principle is correct?

The Heisenberg Uncertainty Principle specifically quantifies the limits of measurement precision. It states that the product of the uncertainties in position (Δ𝑥) and momentum (Δ𝑝) of a particle is always greater than or equal to ℏ/2, where ℏ is the reduced Planck constant. Mathematically, Δ𝑥 ⋅ Δ𝑝 ≥ ℏ / 2. This principle does not state that position and momentum cannot be measured simultaneously, but rather that there is a fundamental limit to the precision with which they can be known simultaneously.
Gitofa Shah PHYSICS   -   Quantum Mechanics

In the context of quantum mechanics, what does the term "wavefunction collapse" refer to?

Wavefunction collapse refers to the process where a wavefunction, which initially exists in a superposition of multiple eigenstates, abruptly transitions into a single eigenstate as a result of a measurement. This concept is central to the Copenhagen interpretation of quantum mechanics, which posits that the act of measurement causes the system to 'choose' one of the possible outcomes, collapsing the wavefunction to a specific state.
Gitofa Shah PHYSICS   -   Quantum Mechanics

What is the physical significance of the commutator of the position and momentum operators in Quantum Mechanics?

The commutator of the position and momentum operators, [x, p] = iℏ, is a fundamental concept in Quantum Mechanics. It represents the uncertainty principle, which states that certain pairs of physical properties (such as position and momentum) cannot be precisely known at the same time.
Gitofa Shah PHYSICS   -   Quantum Mechanics

A particle is in a superposition of two energy eigenstates, |ψ= a|E1+ b|E2. What is the probability of finding the particle in the energy eigenstate |E1?

The probability of finding the particle in the energy eigenstate |E1is given by the square of the amplitude of the coefficient of |E1, which is |a|^2 / (|a|^2 + |b|^2).
Gitofa Shah PHYSICS   -   Quantum Mechanics

What is the purpose of the wave function renormalization in Quantum Field Theory?

Wave function renormalization is a process in Quantum Field Theory that removes the infinite self-energy of particles, making the theory finite and well-defined.
Gitofa Shah PHYSICS   -   Quantum Mechanics

A beam of particles passes through a Stern-Gerlach apparatus with a magnetic field gradient oriented in the z-direction. What is the effect on the beam?

The Stern-Gerlach apparatus splits the beam into two components with opposite spin components in the direction of the magnetic field gradient, which is the z-direction in this case.
Gitofa Shah PHYSICS   -   Quantum Mechanics

What is the name of the process by which a particle and its antiparticle annihilate into photons?

Pair annihilation is the process by which a particle and its antiparticle (such as an electron and a positron) annihilate into photons, releasing energy in the form of radiation.
Gitofa Shah PHYSICS   -   Statistical Mechanics

What is the name of the statistical ensemble that describes a system with a fixed number of particles, volume, and energy?

The microcanonical ensemble describes a closed system with a fixed number of particles (N), volume (V), and energy (E), and is characterized by a fixed energy and particle number.
Gitofa Shah PHYSICS   -   Statistical Mechanics

A system is in thermal equilibrium with a reservoir at temperature T. What is the probability of finding the system in a microstate with energy E?

The probability of finding a system in a microstate with energy E is given by the Boltzmann distribution, which is proportional to e^(−E/kT) and normalized by the partition function Z(T).
Gitofa Shah PHYSICS   -   Statistical Mechanics

What is the name of the theorem that relates the entropy of a system to the number of possible microstates?

Boltzmann's theorem states that the entropy of a system is proportional to the logarithm of the number of possible microstates, S = k * ln(Ω).
Gitofa Shah PHYSICS   -   Statistical Mechanics

A system undergoes a reversible adiabatic process. What is the change in entropy of the system?

In a reversible adiabatic process, the entropy of the system remains constant, ΔS = 0.
Gitofa Shah PHYSICS   -   Statistical Mechanics

What is the name of the statistical mechanical potential that describes a system at constant temperature and pressure?

The Gibbs free energy is a statistical mechanical potential that describes a system at constant temperature and pressure, and is defined as G = H - TS, where H is the enthalpy and S is the entropy.
Gitofa Shah PHYSICS   -   Electromagnetism

A charged particle moves with a velocity v = 0.6c in a region with a uniform magnetic field B = 2T. What is the magnitude of the force experienced by the particle if its charge is q = 3 × 10^(-6) C?

The force experienced by a charged particle in a magnetic field is given by F = qvB sin(θ), where θ is the angle between the velocity and magnetic field vectors. In this case, since the velocity and magnetic field are perpendicular, sin(θ) = 1, and F = qvB = 3 × 10^(-6) C × 0.6 × 3 × 10^8 m/s × 2 T = 3.6 × 10^(-2) N.
Gitofa Shah PHYSICS   -   Electromagnetism

A parallel-plate capacitor has a capacitance C = 5 μF and is charged to a voltage V = 12 V. If the plates are separated by a distance d = 2 mm, what is the energy density of the electric field between the plates?

The energy density of the electric field between the plates is given by u = (1/2)ε₀E^2, where ε₀ is the permittivity of free space and E is the electric field strength. The electric field strength is given by E = V/d = 12 V / 2 × 10^(-3) m = 6 × 10^3 V/m. Substituting this value, we get u = (1/2) × 8.85 × 10^(-12) C^2/Nm^2 × (6 × 10^3 V/m)^2 = 1.8 × 10^5 J/m^3.
Gitofa Shah PHYSICS   -   Electromagnetism

A coil of 500 turns and cross-sectional area A = 0.02 m^2 is placed in a region with a uniform magnetic field B = 0.1 T. If the coil is rotated at a constant angular velocity ω = 20 rad/s, what is the maximum emf induced in the coil?

The maximum emf induced in the coil is given by ε = N × (dΦ/dt), where N is the number of turns, Φ is the magnetic flux, and d/dt is the derivative with respect to time. The magnetic flux is given by Φ = B × A × cos(ωt), where ω is the angular velocity and t is time. Substituting the values, we get ε = 500 × (0.1 T × 0.02 m^2 × cos(20 rad/s × t))/dt = 6.28 V.
Gitofa Shah PHYSICS   -   Electromagnetism

A beam of light with a wavelength λ = 500 nm is incident on a diffraction grating with 5000 lines per meter. What is the angular separation between the first-order maxima?

The angular separation between the first-order maxima is given by Δθ = λ/d, where d is the grating spacing. The grating spacing is given by d = 1/5000 m = 2 × 10^(-4) m. Substituting the values, we get Δθ = 500 × 10^(-9) m / 2 × 10^(-4) m = 0.1 rad
Gitofa Shah PHYSICS   -   Thermodynamics

A heat engine operates between two reservoirs at temperatures T1 and T2, with T1 > T2. What is the maximum efficiency of the engine?

The maximum efficiency of a heat engine is given by the Carnot efficiency, which is 1 - (T2 / T1), where T1 is the temperature of the hot reservoir and T2 is the temperature of the cold reservoir.
Gitofa Shah PHYSICS   -   Thermodynamics

A system undergoes a reversible isothermal expansion from volume V1 to V2. What is the change in internal energy of the system?

In a reversible isothermal process, the temperature remains constant, and the change in internal energy is zero, ΔU = 0.
Gitofa Shah PHYSICS   -   Thermodynamics

What is the name of the process by which a system transitions from a metastable state to a stable state with a decrease in free energy?

Nucleation is the process by which a system transitions from a metastable state to a stable state with a decrease in free energy, often accompanied by the formation of a new phase.
Gitofa Shah PHYSICS   -   Thermodynamics

A gas is compressed adiabatically from pressure P1 to P2. What is the change in temperature of the gas?

In an adiabatic compression, the temperature of the gas increases according to the relation T2 = T1 * (P2 / P1)^(γ - 1), where γ is the adiabatic index.
Gitofa Shah PHYSICS   -   Thermodynamics

What is the name of the thermodynamic potential that describes a system at constant pressure and temperature?

The Gibbs free energy is a thermodynamic potential that describes a system at constant pressure and temperature, and is defined as G = H - TS, where H is the enthalpy and S is the entropy.
lorrin mike PHYSICS   -   Biophysics

What is the primary reason for the asymmetry of the protein structure?

Hydrophobic interactions play a crucial role in protein folding, leading to an asymmetric distribution of hydrophobic and hydrophilic residues.
lorrin mike PHYSICS   -   Biophysics

Which technique would you use to study the dynamics of a protein-ligand interaction?

Molecular dynamics simulations can provide detailed information on the dynamics of protein-ligand interactions, including binding and unbinding processes.
lorrin mike PHYSICS   -   Biophysics

What is the name of the process by which cells generate force to move or change shape?

Cytoskeleton dynamics involve the generation of force through the interaction of cytoskeletal elements, such as actin and myosin.
lorrin mike PHYSICS   -   Biophysics

Which biophysical technique measures the rotation of a molecule around its axis?

Fluorescence anisotropy measures the rotation of a molecule around its axis, providing information on its dynamics.
lorrin mike PHYSICS   -   Biophysics

What is the term for the minimum energy required for a protein to fold into its native structure?

Activation energy is the minimum energy required for a protein to overcome the energy barrier and fold into its native structure.
lorrin mike PHYSICS   -   Biophysics

Which type of spectroscopy measures the vibrational modes of molecules?

Infrared spectroscopy measures the vibrational modes of molecules, providing information on their structure and dynamics.
lorrin mike PHYSICS   -   Biophysics

What is the name of the process by which cells sense and respond to mechanical forces?

Mechanotransduction is the process by which cells sense and respond to mechanical forces, converting them into biochemical signals.
lorrin mike PHYSICS   -   Biophysics

Which biophysical technique measures the distance between two points in a biomolecule?

FRET measures the distance between two points in a biomolecule, typically in the range of 1-10 nm.
lorrin mike PHYSICS   -   Biophysics

What is the term for the study of the physical principles underlying biological systems?

Biophysics is the study of the physical principles underlying biological systems, aiming to understand the behavior of biological systems in terms of physical laws and principles.
lorrin mike PHYSICS   -   Biophysics

Which type of microscopy uses a focused laser beam to image biological samples?

Confocal microscopy uses a focused laser beam to image biological samples, providing high-resolution images with reduced background fluorescence.
lorrin mike PHYSICS   -   Atomic Physics

Which quantum number specifies the shape of an atomic orbital?

The orbital quantum number (l) determines the shape of an atomic orbital. It ranges from 0 to (n-1), where n is the principal quantum number.
lorrin mike PHYSICS   -   Atomic Physics

Which phenomenon occurs when an electron moves from a higher to a lower energy level within an atom, emitting a photon?

Emission occurs when an electron transitions from a higher energy level to a lower one within an atom, releasing energy in the form of a photon.
lorrin mike PHYSICS   -   Atomic Physics

Which element has the electron configuration 1s² 2s² 2p⁶ 3s² 3p⁶ 3d¹⁰ 4s² 4p⁶ 4d¹⁰ 5s² 5p⁶?

The electron configuration given belongs to Xenon (Xe), a noble gas with atomic number 54.
lorrin mike PHYSICS   -   Atomic Physics

Which of the following transitions in the hydrogen atom results in the emission of the highest energy photon?

The energy of emitted photons in hydrogen atom transitions is highest when the electron falls from a higher energy level to a lower one. The transition from n = 4 to n = 5 corresponds to the highest energy difference among the options provided.
lorrin mike PHYSICS   -   Atomic Physics

What is the term for the minimum amount of energy required to remove an electron from the outermost shell of an atom in its ground state?

Ionization energy is the energy required to completely remove an electron from an atom or ion in its ground state. It is a measure of the atom's ability to hold onto its electrons.
lorrin mike PHYSICS   -   Nuclear Physics

Which of the following particles is emitted during beta-minus decay?

Beta-minus decay involves the emission of an electron (beta particle) from a nucleus. This occurs when a neutron in the nucleus converts into a proton, releasing an electron and an antineutrino.
lorrin mike PHYSICS   -   Nuclear Physics

Which nuclear reaction is responsible for the energy production in the Sun and other stars?

Nuclear fusion is the process where light atomic nuclei combine to form heavier nuclei, releasing a significant amount of energy. It is the primary energy source for stars, including the Sun.
lorrin mike PHYSICS   -   Nuclear Physics

What is the fundamental force responsible for binding protons and neutrons together in the nucleus?

The strong nuclear force is the fundamental force that binds protons and neutrons (nucleons) together in the nucleus. It is a short-range force that overcomes the repulsive electromagnetic force between protons.
lorrin mike PHYSICS   -   Nuclear Physics

Which of the following particles has the same charge as an electron but approximately 1836 times greater mass?

A proton has the same charge as an electron (positive) but is much heavier, with a mass approximately 1836 times greater than that of an electron.
lorrin mike PHYSICS   -   Nuclear Physics

What is the approximate binding energy per nucleon in a typical stable nucleus?

The binding energy per nucleon represents the average energy required to completely separate a nucleus into its individual nucleons. It is approximately 8 MeV for stable nuclei, indicating the stability and compactness of nuclear structure.
Malen Bara CHEMISTRY   -   Organic Chemistry

Which of the following statements about the bonding in ethyne (acetylene, C2H2) is correct?

In ethyne, each carbon atom is sp hybridized, forming a linear molecule with a bond angle of 180 degrees. The carbon atoms are connected by a triple bond consisting of one sigma bond and two pi bonds.
Malen Bara CHEMISTRY   -   Organic Chemistry

Which of the following functional groups can act as both an acid and a base?

Amines contain a nitrogen atom with a lone pair of electrons, which allows them to act as a base by accepting a proton. They can also act as weak acids by donating a proton from the hydrogen atoms attached to the nitrogen, although this is less common compared to their basicity.
Malen Bara CHEMISTRY   -   Organic Chemistry

Which of the following compounds is chiral?

2-Butanol has a carbon atom (the second carbon) attached to four different groups: a hydroxyl group (-OH), a methyl group (-CH3), an ethyl group (-CH2CH3), and a hydrogen atom. This makes it chiral, possessing non-superimposable mirror images (enantiomers).
Malen Bara CHEMISTRY   -   Organic Chemistry

In which of the following reactions does the formation of a carbocation intermediate occur?

The SN1 reaction mechanism involves two steps. The first step is the dissociation of the leaving group, leading to the formation of a carbocation intermediate. This carbocation then reacts with a nucleophile in the second step.
Malen Bara CHEMISTRY   -   Organic Chemistry

What is the first step in the retrosynthetic analysis of 1-bromo-2-phenylethane?

Retrosynthetic analysis involves breaking down the target molecule into simpler precursor structures. For 1-bromo-2-phenylethane, identifying how the phenyl group is attached to the ethane chain is crucial for determining the precursor molecules. In this case, one might consider the synthesis from ethylbenzene or from styrene via bromination.
Malen Bara CHEMISTRY   -   Organic Chemistry

In proton NMR spectroscopy, what splitting pattern would you expect for the protons on the methylene group in ethyl acetate (CH3COOCH2CH3)?

The methylene group (CH2) in ethyl acetate is adjacent to a methyl group (CH3), which causes spin-spin coupling. The three protons of the methyl group split the signal of the two methylene protons into a quartet due to the n+1 rule (n=3).
Malen Bara CHEMISTRY   -   Organic Chemistry

Which of the following compounds is not aromatic?

Benzene, pyridine, and naphthalene all obey Huckel's rule for aromaticity, possessing (4n+2) π-electrons and a planar structure. Cyclooctatetraene, however, does not adopt a planar conformation and does not have (4n+2) π-electrons, making it non-aromatic.
Malen Bara CHEMISTRY   -   Organic Chemistry

In an electrophilic aromatic substitution reaction, which intermediate is formed?

In electrophilic aromatic substitution, the intermediate formed is a sigma complex (also known as an arenium ion or Wheland intermediate). This intermediate features a partially positive charge and a disrupted aromatic system, which is later restored upon deprotonation.
Malen Bara CHEMISTRY   -   Organic Chemistry

Which of the following statements about the polymerization of ethylene to form polyethylene is correct?

The polymerization of ethylene to form polyethylene is typically carried out via a free radical mechanism. This process involves the initiation, propagation, and termination steps, where free radicals mediate the addition of ethylene monomers to the growing polymer chain.
Malen Bara CHEMISTRY   -   Organic Chemistry

Which of the following heterocycles contains nitrogen and is aromatic?

Pyrrole is a five-membered heterocyclic compound containing nitrogen and is aromatic. It has a planar structure with a conjugated system of (4n+2) π-electrons, making it aromatic according to Huckel's rule.
Malen Bara CHEMISTRY   -   Organic Chemistry

Which type of enzyme catalysis involves the formation of a covalent bond between the enzyme and the substrate?

In covalent catalysis, a transient covalent bond is formed between the enzyme and the substrate during the reaction. This temporary covalent intermediate helps stabilize the transition state and lower the activation energy of the reaction.
Malen Bara CHEMISTRY   -   Organic Chemistry

Which of the following principles is not one of the Twelve Principles of Green Chemistry?

Increasing chemical yields is not explicitly one of the Twelve Principles of Green Chemistry. While yield is important, the principles focus on reducing waste, minimizing the use of hazardous substances, and designing environmentally benign processes.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following elements has the highest second ionization energy?

The second ionization energy is the energy required to remove the second electron after the first has been removed. Sodium has a very high second ionization energy because removing the second electron means disrupting a stable noble gas configuration (Ne), making it significantly more difficult than the first ionization.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following molecules has the most polar bond?

Polarity of a bond is determined by the difference in electronegativity between the two bonded atoms. Fluorine is the most electronegative element, and the electronegativity difference between hydrogen and fluorine is the greatest among the given pairs, making HF the most polar bond.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

In a face-centered cubic (fcc) lattice, what is the coordination number of each atom?

In a face-centered cubic (fcc) lattice, each atom is surrounded by 12 nearest neighbors. This coordination number of 12 arises because each atom touches four atoms in its own layer, four atoms in the layer above, and four atoms in the layer below.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following ligands will cause the greatest splitting in the d-orbital energies of a central metal ion according to the spectrochemical series?

According to the spectrochemical series, CN⁻ is a strong field ligand and causes significant splitting of the d-orbitals in a central metal ion. This large splitting can lead to different electronic configurations and affects the color and magnetic properties of the complex.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

In the compound ferrocene (Fe(C5H5)2), what is the oxidation state of the iron center?

In ferrocene, each cyclopentadienyl anion (C5H5⁻) is considered to donate 6 electrons to the iron atom, providing a total of 12 electrons. Iron in the neutral state (Fe) has 8 valence electrons, leading to the 18-electron configuration that stabilizes the complex. Hence, the oxidation state of iron in ferrocene is 0.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which metal ion is at the active site of the enzyme carbonic anhydrase?

Carbonic anhydrase is an enzyme that catalyzes the hydration of carbon dioxide. The active site of this enzyme contains a zinc ion (Zn²⁺) which is coordinated by three histidine residues and a water molecule, playing a crucial role in the enzyme's catalytic function.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following elements forms a stable diatomic molecule in the gas phase?

Nitrogen forms a stable diatomic molecule (N₂) due to the formation of a strong triple bond between the two nitrogen atoms, making it very stable. The other elements listed typically form more complex molecular structures or allotropes.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following transition metals exhibits the highest number of oxidation states?

Manganese exhibits the highest number of oxidation states, ranging from -3 to +7. This wide range of oxidation states is due to its electronic configuration, which allows it to lose or share various numbers of electrons.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following actinides is commonly used as a fuel in nuclear reactors?

Uranium, specifically U-235, is commonly used as a fuel in nuclear reactors due to its ability to undergo fission and release a significant amount of energy. Thorium can also be used in nuclear reactors, but it is less common compared to uranium.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following compounds acts as both a Lewis acid and a Lewis base?

Water (H₂O) can act as both a Lewis acid (accepting a pair of electrons when it forms H₃O⁺) and a Lewis base (donating a pair of electrons when it acts as a solvent or forms coordinate bonds). The other compounds typically act only as Lewis acids or bases.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following is a typical example of an inner-sphere electron transfer reaction?

An inner-sphere electron transfer involves a bridging ligand that temporarily connects the two reactants. In the reduction of MnO₄⁻ by Fe²⁺, an intermediate complex can form where a ligand bridges the Mn and Fe centers, facilitating the electron transfer.
Malen Bara CHEMISTRY   -   Inorganic Chemistry

Which of the following methods is commonly used to synthesize graphene?

Chemical vapor deposition (CVD) is a common method used to synthesize high-quality graphene. This process involves the deposition of carbon atoms onto a substrate from a gas-phase precursor, resulting in the formation of a graphene layer.

Contributor(5)

Fani Warraich
Shalisha Ladawn
Gitofa Shah
Malen Bara
lorrin mike