NEET (UG) 2024

A logic circuit provides the output $Y$ as per the following truth table :

The expression for the output $Y$ is :

A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is $v$ in the direction shown, which one of the following options is correct ( $P$ and $Q$ are any highest and lowest points on the wheel, respectively)?

In the following circuit, the equivalent capacitance between terminal $A$ and terminal $B$ is :

At any instant of time $t$, the displacement of any particle is given by $2 t-1$ (SI unit) under the influence of force of 5 N . The value of instantaneous power is (in SI unit):

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason $\mathbf{R}$.

Assertion A: The potential $(V)$ at any axial point, at 2 m distance $(r)$ from the centre of the dipole of dipole moment vector $\vec{P}$ of magnitude, $4 \times 10^{-6} \mathrm{C} \mathrm{m}$, is $\pm 9 \times 10^{3} \mathrm{~V}$.

(Take $\frac{1}{4 \pi \epsilon_{0}}=9 \times 10^{9}$ SI units)

Reason R: $V= \pm \frac{2 P}{4 \pi \epsilon_{0} r^{2}}$, where $r$ is the distance of any axial point, situated at 2 m from the centre of the dipole.

In the light of the above statements, choose the correct answer from the options given below:

Two bodies $A$ and $B$ of same mass undergo completely inelastic one dimensional collision. The body $A$ moves with velocity $v_{1}$ while body $B$ is at rest before collision. The velocity of the system after collision is $v_{2}$. The ratio $v_{1}: v_{2}$ is

In a uniform magnetic field of 0.049 T, a magnetic needle performs 20 complete oscillations in 5 seconds as shown. The moment of inertia of the needle is $9.8 \times 10^{-6}\ \mathrm{kg\ m^2}$. If the magnitude of magnetic moment of the needle is $x \times 10^{-5}\ \mathrm{A\ m^2}$, then the value of 'x' is:

An unpolarised light beam strikes a glass surface at Brewster's angle. Then

Consider the following statements $A$ and $B$ and identify the correct answer:

statement A. For a solar-cell, the I-V characteristics lies in the IV quadrant of the given graph.

statement B. In a reverse biased $p n$ junction diode, the current measured in $(\mu \mathrm{A})$, is due to majority charge carriers.

In light of the above statements, choose the most appropriate answer from the options given belo

The graph which shows the variation of $\left(\frac{1}{\lambda^{2}}\right)$ and its kinetic energy, $E$ is (where $\lambda$ is de Broglie wavelength of a free particle):

The terminal voltage of the battery, whose emf is 10 V and internal resistance $1 \Omega$, when connected through an external resistance of $4 \Omega$ as shown in the figure is:

The quantities which have the same dimensions as those of solid angle are:

In the above diagram, a strong bar magnet is moving towards solenoid-2 from solenoid-1. The direction of induced current in solenoid-1 and that in solenoid-2, respectively, are through the directions:

The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is $2400 \mathrm{~g} \mathrm{~cm}^{2}$. The length of the 400 g rod is nearly:

If $x = 5\sin(\pi t + \frac{\pi}{3})\,\text{m}$ represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively, are

The mass of a planet is $\frac{1}{10}^{\text {th }}$ that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is:

A horizontal force 10 N is applied to a block $A$ as shown in figure. The mass of blocks $A$ and $B$ are 2 kg and 3 kg respectively. The blocks slide over a frictionless surface. The force exerted by block $A$ on block $B$ is :

A thermodynamic system is taken through the cycle abcda. The work done by the gas along the path b c is:

Given below are two statements : one is labelled as Statement I and the other is labelled as Statement II :

Statement I: Atoms are electrically neutral as they contain equal number of positive and negative charges.

Statement II: Atoms of each element are stable and emit their characteristic spectrum.

In the light of the above statements, choose the most appropriate answer from the options given below.

${}^{290}_{82}X \xrightarrow{\alpha} Y \xrightarrow{e^+} Z \xrightarrow{\beta^-} P \xrightarrow{e^-} Q$

In the nuclear emission stated above, the mass number and atomic number of the product $Q$ respectively, are

A particle moving with uniform speed in a circular path maintains:

A light ray enters through a right angled prism at point $P$ with the angle of incidence $30^{\circ}$ as shown in figure. It travels through the prism parallel to its base $B C$ and emerges along the face $A C$. The refractive index of the prism is:

In a vernier callipers, $(N+1)$ divisions of vernier scale coincide with $N$ divisions of main scale. If 1 MSD represents 0.1 mm , the vernier constant (in cm ) is:

If the monochromatic source in Young's double slit experiment is replaced by white light, then

If $c$ is the velocity of light in free space, the correct statements about photon among the following are:

A. The energy of a photon is $E=h \nu$.

B. The velocity of a photon is $c$.

C. The momentum of a photon, $p=\frac{h v}{c}$.

D. In a photon-electron collision, both total energy and total momentum are conserved.

E. Photon possesses positive charge.

Choose the correct answer from the options given below:

The output ( $Y$ ) of the given logic gate is similar to the output of an/a

Match List I with List II.

Choose the correct answer from the options given below:

A thin flat circular disc of radius 4.5 cm is placed gently over the surface of water. If surface tension of water is $0.07 \mathrm{~N} \mathrm{~m}^{-1}$, then the excess force required to take it away from the surface is

In an ideal transformer, the turns ratio is $\frac{N_{P}}{N_{S}}=\frac{1}{2}$. The ratio $V_{S}: V_{P}$ is equal to (the symbols carry their usual meaning) :

The maximum elongation of a steel wire of 1 m length if the elastic limit of steel and its Young's modulus, respectively, are $8 \times 10^{8} \mathrm{~N} \mathrm{~m}^{-2}$ and $2 \times 10^{11} \mathrm{~N} \mathrm{~m}^{-2}$, is:

A thin spherical shell is charged by some source. The potential difference between the two points $C$ and $P$ (in V ) shown in the figure is:

(Take $\frac{1}{4 \pi \varepsilon_{0}}=9 \times 10^{9}$ SI units)

A wire of length ' $r$ and resistance $100 \Omega$ is divided into 10 equal parts. The first 5 parts are connected in series while the next 5 parts are connected in parallel. The two combinations are again connected in series. The resistance of this final combination is:

A tightly wound 100 turns coil of radius 10 cm carries a current of 7 A . The magnitude of the magnetic field at the centre of the coil is (Take permeability of free space as $4 \pi \times 10^{-7} \mathrm{SI}$ units):

Match List-I with List-II.

Choose the correct answer from the options given below

A bob is whirled in a horizontal plane by means of a string with an initial speed of $\omega \mathrm{\;rpm}$. The tension in the string is $T$. If speed becomes $2 \omega$ while keeping the same radius, the tension in the string becomes:

A parallel plate capacitor is charged by connecting it to a battery through a resistor. If $l$ is the current in the circuit, then in the gap between the plates:

A $10 \mu \mathrm{~F}$ capacitor is connected to a $210 \mathrm{~V}, 50 \mathrm{~Hz}$ source as shown in figure. The peak current in the circuit is nearly ( $\pi=3.14$ ):

If the mass of the bob in a simple pendulum is increased to thrice its original mass and its length is made half its original length, then the new time period of oscillation is $\frac{x}{2}$ times its original time period. Then the value of $x$ is:

The following graph represents the $T-V$ curves of an ideal gas (where $T$ is the temperature and $V$ the volume) at three pressures $P_{1}, P_{2}$ and $P_{3}$ compared with those of Charles's law represented as dotted lines.

Then the correct relation is:

The minimum energy required to launch a satellite of mass $m$ from the surface of earth of mass $M$ and radius $R$ in a circular orbit at an altitude of $2 R$ from the surface of the earth is:

The property which is not of an electromagnetic wave travelling in free space is that:

A force defined by $F=\alpha t^{2}+\beta t$ acts on a particle at a given time $t$. The factor which is dimensionless, if $\alpha$ and $\beta$ are constants, is:

Two heaters $A$ and $B$ have power rating of 1 kW and 2 kW , respectively. Those two are first connected in series and then in parallel to a fixed power source. The ratio of power outputs for these two cases is:

An iron bar of length $L$ has magnetic moment $M$. It is bent at the middle of its length such that the two arms make an angle $60^{\circ}$ with each other. The magnetic moment of this new magnet is :

A metallic bar of Young's modulus, $0.5 \times 10^{11} \, \text{N m}^{-2}$ and coefficient of linear thermal expansion $10^{-5} \, \text{°C}^{-1}$, length 1 m and area of cross-section $10^{-3} \, \text{m}^2$ is heated from $0^\circ \text{C}$ to $100^\circ \text{C}$ without expansion or bending. The compressive force developed in it is:

The velocity $(v)$ - time $(t)$ plot of the motion of a body is shown below:

The acceleration (a) - time $(t)$ graph that best suits this motion is :

If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then

A. the charge stored in it, increases.

B. the energy stored in it, decreases.

C. its capacitance increases.

D. the ratio of charge to its potential remains the same.

E. the product of charge and voltage increases.

Choose the most appropriate answer from the options given below:

A small telescope has an objective of focal length 140 cm and an eye piece of focal length 5.0 cm . The magnifying power of telescope for viewing a distant object is:

A sheet is placed on a horizontal surface in front of a strong magnetic pole. A force is needed to:

A. hold the sheet there if it is magnetic.

B. hold the sheet there if it is non-magnetic.

C. move the sheet away from the pole with uniform velocity if it is conducting.

D. move the sheet away from the pole with uniform velocity if it is both, non-conducting and non-polar.

Choose the correct statement(s) from the options given below:

Arrange the following elements in increasing order of electronegativity:

N, O, F, C, Si

Choose the correct answer from the options given below:

Identify the correct reagents that would bring about the following transformation.

The compound that will undergo $S_{N} 1$ reaction with the fastest rate is

For the reaction $2 \mathrm{~A} \rightleftharpoons \mathrm{~B}+\mathrm{C}, \mathrm{K}_{\mathrm{c}}=4 \times 10^{-3}$. At a given time, the composition of reaction

mixture is:

$[A]=[B]=[C]=2 \times 10^{-3} \mathrm{M}$.

Then, which of the following is correct?

The highest number of helium atoms is present in:

Match List I with List II.

Choose the correct answer from the options given below:

The energy of an electron in the ground state $(n=1)$ for $\mathrm{He}^{+}$ion is $-x J$, then that for an electron in $n=2$ state for $\mathrm{Be}^{3+}$ ion in J is

Match List I with List II.

Choose the correct answer from the options given below:

Match List I with List II.

Choose the correct answer from the options given below:

The $\mathrm{E}^{\circ}$ value for the $\mathrm{Mn}^{3+} / \mathrm{Mn}^{2+}$ couple is more positive than that of $\mathrm{Cr}^{3+} / \mathrm{Cr}^{2+}$ or $\mathrm{Fe}^{3+} / \mathrm{Fe}^{2+}$ due to change of

In which of the following equilibria, $\mathrm{K}_{\mathrm{p}}$ and $\mathrm{K}_{\mathrm{c}}$ are NOT equal?

Among Group 16 elements, which one does NOT show -2 oxidation state?

Spin only' magnetic moment is same for which of the following ions?

A. $\mathrm{Ti}^{3+}$

B. $\mathrm{Cr}^{2+}$

C. $\mathrm{Mn}^{2+}$

D. $\mathrm{Fe}^{2+}$

E. $\mathrm{Sc}^{3+}$

Choose the most appropriate answer from the options given below.

A compound with a molecular formula of $\ce{C6H14}$ has two tertiary carbons. Its IUPAC name is:

Given below are two statements:

Statement I: The boiling point of three isomeric pentanes follows the order n-pentane > isopentane > neopentane

Statement II : When branching increases, the molecule attains a shape of sphere. This results in smaller surface area for contact, due to which the intermolecular forces between the spherical molecules are weak, thereby lowering the boiling point.

In the light of the above statements, choose the most appropriate answer from the options given below:

The Henry's law constant $K_H$ values of three gases $(A, B, C)$ in water are $145$, $2 \times 10^{-5}$ and $35\, \text{kbar}$, respectively. The solubility of these gases in water follows the order:

Fehling's solution ' $A$ ' is

Given below are two statements:

Statement I: The boiling point of hydrides of Group 16 elements follow the order

$\mathrm{H}_{2} \mathrm{O}>\mathrm{H}_{2} \mathrm{Te}>\mathrm{H}_{2} \mathrm{Se}>\mathrm{H}_{2} \mathrm{~S}$.

Statement II: On the basis of molecular mass, $\mathrm{H}_{2} \mathrm{O}$ is expected to have lower boiling point than the

other members of the group but due to the presence of extensive H -bonding in

$\mathrm{H}_{2} \mathrm{O}$, it has higher boiling point.

In the light of the above statements, choose the correct answer from the options given below:

Given below are two statements :

Statement I: Both $\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right]^{3+}$ and $[\mathrm{CoF}]^{3-}$ complexes are octahedral but differ in their magnetic behaviour.

Statement II: $\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right]^{3+}$ is diamagnetic whereas $\left[\mathrm{CoF}_{6}\right]^{3-}$ is paramagnetic.

In the light of the above statements, choose the correct answer from the options given below:

On heating, some solid substances change from solid to vapour state without passing through liquid state. The technique used for the purification of such solid substances based on the above principle is known as

Match List I with List II. \section*{List I (Complex)} A.

Choose the correct answer from the options given below:

The reagents with which glucose does not react to give the corresponding tests/products are

A. Tollen's reagent

B. Schiff's reagent

C. HCN

D. $\mathrm{NH}_{2} \mathrm{OH}$

E. $\mathrm{NaHSO}_{3}$

Choose the correct options from the given below:

Match List I with List II.

Activation energy of any chemical reaction can be calculated if one knows the value of

Match List I with List II.

Choose the correct answer from the options given below:

Intramolecular hydrogen bonding is present in

Given below are two statements:

Statement I : Aniline does not undergo Friedel-Crafts alkylation reaction.

Statement II : Aniline cannot be prepared through Gabriel synthesis.

In the light of the above statements, choose the correct answer from the options given below:

Which one of the following alcohols reacts instantaneously with Lucas reagent?

Arrange the following elements in increasing order of first ionization enthalpy:

Li, Be, B, C, N

Choose the correct answer from the options given below:

Which reaction is NOT a redox reaction?

Match List I with List II

Choose the correct answer from the options given below :

In which of the following processes entropy increases?

A. A liquid evaporates to vapour.

B. Temperature of a crystalline solid lowered from 130 K to 0 K .

C. $2 \mathrm{NaHCO}_{3(\mathrm{~s})} \rightarrow \mathrm{Na}_{2} \mathrm{CO}_{3(\mathrm{~s})}+\mathrm{CO}_{2(\mathrm{~g})}+\mathrm{H}_{2} \mathrm{O}_{(\mathrm{g})}$

D. $\mathrm{Cl}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{Cl}_{(\mathrm{g})}$

Choose the correct answer from the options given below:

1 gram of sodium hydroxide was treated with 25 mL of 0.75 M HCl solution, the mass of sodium hydroxide left unreacted is equal to

The products $A$ and $B$ obtained in the following reactions, respectively, are

$\mathrm{ROH}+\mathrm{PCl}_{5} \rightarrow \mathrm{RCl}+\mathrm{HCl}+\mathrm{B}$

Identify the major product C formed in the following reaction sequence:

During the preparation of Mohr's salt solution (Ferrous ammonium sulphate), which of the following acid is added to prevent hydrolysis of $\mathrm{Fe}^{2+}$ ion?

Consider the following reaction in a sealed vessel at equilibrium with concentrations of

$\mathrm{N}_{2}=3.0 \times 10^{-3} \mathrm{M}, \mathrm{O}_{2}=4.2 \times 10^{-3} \mathrm{M}$ and $\mathrm{NO}=2.8 \times 10^{-3} \mathrm{M}$.

$2 \mathrm{NO}_{(\mathrm{g})} \rightleftharpoons \mathrm{N}_{2(\mathrm{~g})}+\mathrm{O}_{2(\mathrm{~g})}$

If $0.1 \mathrm{~mol} \mathrm{~L}^{-1}$ of $\mathrm{NO}_{(\mathrm{g})}$ is taken in a closed vessel, what will be degree of dissociation

( $\alpha$ ) of $\mathrm{NO}_{(\mathrm{g})}$ at equilibrium?