NEET 2022 Physics Paper: Phase 2

A standard filament lamp consumes 100 W when connected to 200 V ac mains supply. The peak current through the bulb will be:

Given below are two statements

Statement I: In an a.c circuit, the current through a capacitor leads the voltage across it. Statement II: In a.c circuit containing pure capacitance only, the phase difference between the current and voltage is $\pi$.

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

An inductor of inductance 2 mH is connected to a 220 V, 50 Hz ac source. Let the inductive reactance in the circuit is X1. If a 220 V dc source replace the ac source in the circuit, then the inductive reactance in the circuit is X2. X1 and X2 respectively are:

Let R1 be the radius of the second stationary orbit and R2 be the radius of the fourth stationary orbit of an electron in Bohr's model. The ratio $\frac{R_1}{R_2}$ is:

The ratio of Coulomb's electrostatic force to the gravitational force between an electron and a proton separated by some distance is 2.4 $\times$ 1039. The ratio of the proportionality constant, $K = \frac{1}{4\pi\varepsilon_0}$ to the gravitational constant G is nearly (Given that the charge of the proton and electron each = 1.6 $\times$ 10$-$19 C, the mass of the electron = 9.11 $\times$ 10$-$31 kg, the mass of the proton = 1.67 $\times$ 10$-$27 kg):

The effective capacitances of two capacitors are 3 $\mu$F and 16 $\mu$F, when they are connected in series and parallel respectively. The capacitance of two capacitors are:

The distance between the two plates of a parallel plate capacitor is doubled and the area of each plate is halved. If C is its initial capacitance, its final capacitance is equal to

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

Assertion (A): When a fire cracker (rocket) explodes in mid air, its fragments fly in such a way that they continue moving in the same path, which the fire cracker would have followed, had it not exploded.

Reason (R): Explosion of cracker (rocket) occurs due to internal force only and no external force acts for this explosion.

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

A cell of emf 4 V and internal resistance 0.5 $\Omega$ is connected to a 7.5 $\Omega$ external resistance. The terminal potential difference of the cell is

The equivalent resistance of the infinite network given below is:

The sliding contact C is at one fourth of the length of the potentiometer wire (AB) from A as shown in the circuit diagram. If the resistance of the wire AB is R0, then the potential drop (V) across the resistor R is

The reciprocal of resistance is:

The light rays having photons of energy 4.2 eV are falling on a metal surface having a work function of 2.2 eV. The stopping potential of the surface is

The threshold frequency of a photoelectric metal is v0. If light of frequency 4v0 is incident on this metal, then the maximum kinetic energy of emitted electrons will be:

The magnetic flux linked to a circular coil of radius R is

$\phi = 2t^{3} + 4t^{2} + 2t + 5$ Wb

The magnitude of induced emf in the coil at t = 5 s is

The ratio of the magnitude of the magnetic field and electric field intensity of a plane electromagnetic wave in free space of permeability $\mu_0$ and permittivity $\varepsilon_0$ is (Given that c - velocity of light in free space)

The magnetic field of a plane electromagnetic wave is given by

$\vec{B} = 3\times 10^{-8}\cos(1.6\times 10^{3}x + 48\times 10^{10}t)\hat{j}$, then the associated electric field will be:

Six charges +q, $-$q, +q, $-$q, +q, and $-$ q are fixed at the corners of a hexagon of side d as shown in the figure. The work done in bringing a charge q0 to the centre of the hexagon from infinity is ($\varepsilon_0$ - permittivity of free space)

Two copper vessels A and B have the same base area but of different shapes. A takes twice the volume of water as that B requires to fill upto a particular common height. Then the correct statement among the following is:

In a gravitational field, the gravitational potential is given by, $V = -\frac{K}{x}$ (J/Kg). The gravitational field intensity at point (2, 0, 3) m is

A gravitational field is present in a region and a mass is shifted from A to B through different paths as shown. If W1, W2 and W3 represent the work done by the gravitational force along the respective paths, then:

Two rods one made of copper and other made of steel of same length and same cross sectional area are joined together. The thermal conductivity of copper and steel are 385 J s${}^{-1}$ K${}^{-1}$ m${}^{-1}$ and 50 J s${}^{-1}$ K${}^{-1}$ m${}^{-1}$ respectively. The free ends of copper and steel are held at 100$^\circ$C and 0$^\circ$ C respectively. The temperature at the junction is, nearly:

In the diagram shown, the normal reaction force between 2 kg and 1 kg is (Consider the surface, to be smooth):

(Given g = 10 ms${}^{-2}$)

The position-time (x - t) graph for positive acceleration is

The shape of the magnetic field lines due to an infinite long, straight current carrying conductor is

A closely packed coil having 1000 turns has an average radius of 62.8 cm. If current carried by the wire of the coil is 1 A, the value of magnetic field produced at the centre of the coil will be (permeability of free space $= 4\pi \times 10^{-7}$ H/m) nearly

The magnetic field on the axis of a circular loop of radius 100 cm carrying current $I = \sqrt{2}\text{ A}$, at point 1 m away from the centre of the loop is given by:

Two very long, straight, parallel conductors A and B carry current of 5 A and 10 A respectively and are at a distance of 10 cm from each other. The direction of current in two conductors is same. The force acting per unit length between two conductors is: ($\mu$0 = 4$\pi \times$ 10$-$7 SI unit)

Given below are two statements

Statement I: The law of radioactive decay states that the number of nuclei undergoing the decay per unit time is inversely proportional to the total number of nuclei in the sample. Statement II: The half-life of a radionuclide is the sum of the life time of all nuclei, divided by the initial concentration of the nuclei at time t = 0.

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

At any instant, two elements X1 and X2 have same number of radioactive atoms. If the decay constant of X1 and X2 are 10 $\lambda$ and $\lambda$ respectively, then the time when the ratio of their atoms becomes $\frac{1}{e}$ respectively will be:

Match List-I with List-II

Choose the correct answer from the options given below

Identify the function which represents a non-periodic motion.

A cricket ball is thrown by a player at a speed of 20 m/s in a direction 30$^\circ$ above the horizontal. The maximum height attained by the ball during its motion is

(g = 10 m/s2)

An astronomical refracting telescope is being used by an observer to observe planets in normal adjustment. The focal lengths of the objective and eye piece used in the construction of the telescope are 20 m and 2 cm respectively. Consider the following statements about the telescope: (a) The distance between the objective and eye piece is 20.02 m

(a) The magnification of the telescope is ($-$) 1000

(b) The image of the planet is erect and diminished

(c) The aperture of eye piece is smaller than that of objective The correct statements are:

During a cloudy day, a primary and a secondary rainbow may be created, then the:

An energy of 484 J is spent in increasing the speed of a flywheel from 60 rpm to 360 rpm. The moment of inertia of the flywheel is:

The collector current in a common base amplifier using n-p-n transistor is 24 mA. If 80% of the electrons released by the emitter is accepted by the collector, then the base current is numerically:

Identify the equivalent logic gate represented by the given circuit

The incorrect statement about the property of a Zener diode is:

Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains helium (monoatomic), the second contains fluorine (diatomic) and the third contains sulfur hexafluoride (polyatomic). The correct statement, among the following is:

An ideal gas follows a process described by the equation $PV^{2} = C$ from the initial $(P_1, V_1, T_1)$ to final $(P_2, V_2, T_2)$ thermodynamic states, where C is a constant. Then

The percentage error in the measurement of g is: (Given that $g = \frac{4\pi^2 L}{T^2},\ L = (10 \pm 0.1)$ cm, $T = (100 \pm 1)$ s)

The physical quantity that has the same dimensional formula as pressure is

If $\vec{F} = 2\hat{i} + \hat{j} - \hat{k}$ and$\vec{r} = 3\hat{i} + 2\hat{j} - 2\hat{k}$, then the scalar and vector products of $\vec{F}$and$\vec{r}$have the magnitudes respectively as

The terminal velocity of a copper ball of radius 5 mm falling through a tank of oil at room temperature is 10 cm s${}^{-1}$. If the viscosity of oil at room temperature is 0.9 kg m${}^{-1}$ s${}^{-1}$, the viscous drag force is:

An organ pipe filled with a gas at 27$^\circ$C resonates at 400 Hz in its fundamental mode. If it is filled with the same gas at 90$^\circ$C, the resonance frequency at the same mode will be

After passing through a polariser a linearly polarised light of intensity I is incident on an analyser making an angle of 30${}^\circ$ with that of the polariser. The intensity of light emitted from the analyser will be

If the screen is moved away from the plane of the slits in a Young's double slit experiment, then the:

The restoring force of a spring with a block attached to the free end of the spring is represented by