NEET 2024 — Physics

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)?

Match List I with List II.

Choose the correct answer from the options given below:

A thermodynamic system is taken through the cycle $abcda$ shown in the $P$–$V$ diagram. The work done by the gas along the path $bc$ is:

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

In an ideal transformer, the turns ratio is $\dfrac{N_P}{N_S} = \dfrac{1}{2}$. The ratio $V_S : V_P$ is equal to (the symbols carry their usual meaning):

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

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

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

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: The potential $V$ at any axial point, at 2 m distance $r$ from the centre of a dipole of dipole moment $\vec{p}$ of magnitude $4 \times 10^{-6}$ C m, is $\pm 9 \times 10^{3}$ V. (Take $\dfrac{1}{4\pi\varepsilon_0} = 9 \times 10^{9}$ SI units.)

Reason R: $V = \dfrac{1}{4\pi\varepsilon_0}\,\dfrac{2p}{r^2}$, 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:

In a uniform magnetic field of 0.049 T, a magnetic needle performs 20 complete oscillations in 5 seconds. The moment of inertia of the needle is $9.8 \times 10^{-6}\ \mathrm{kg\,m^2}$. If the magnitude of the magnetic moment of the needle is $x \times 10^{-5}\ \mathrm{A\,m^2}$, then the value of $x$ is:

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

Given below are two statements:

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:

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

Consider the following statements A and B and identify the correct answer (refer to the given $I$–$V$ graph):

A. For a solar cell, the $I$–$V$ characteristic lies in the IV quadrant of the given graph.

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

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

If $c$ is the velocity of light in free space, the correct statements about a 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 is $p = \dfrac{h\nu}{c}$.

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

E. A photon possesses positive charge.

Choose the correct answer from the options given below:

Two bodies A and B of the same mass undergo a completely inelastic one-dimensional collision. Body A moves with velocity $v_1$ while body B is at rest before the collision. The velocity of the system after the collision is $v_2$. The ratio $v_1 : v_2$ is:

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

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

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

A tightly wound 100-turn 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 the permeability of free space as $4\pi \times 10^{-7}$ SI units):

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

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

Match List I with List II.

Choose the correct answer from the options given below:

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

A horizontal force of 10 N is applied to a block A, which is in contact with a block B on the side away from the force. The masses 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:

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

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

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

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

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

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

The expression for the output $Y$ is:

A wire of length $l$ 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:

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

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 $\dfrac{1}{4\pi\varepsilon_0} = 9 \times 10^{9}$ SI units.)

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

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

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

Two heaters A and B have power ratings of 1 kW and 2 kW, respectively. The 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:

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:

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

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

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

Choose the correct circuit (from the four given) which can achieve the bridge balance.

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:

If the plates of a parallel plate capacitor connected to a battery are moved closer 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:

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

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 of $60^\circ$ with each other. The magnetic moment of this new magnet is:

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 $\dfrac{\sqrt{x}}{2}$ times its original time period. Then the value of $x$ is: