JEE Main 2022 Physics Paper: 29 Jun, Shift 2

An inductor of 0.5 mH, a capacitor of 200 $\mu$F and a resistor of 2 $\Omega$ are connected in series with a 220 V ac source. If the current is in phase with the emf, the frequency of ac source will be ____________ $\times$ 102 Hz.

A capacitor is discharging through a resistor R. Consider in time t1, the energy stored in the capacitor reduces to half of its initial value and in time t2, the charge stored reduces to one eighth of its initial value. The ratio t1/t2 will be

The combination of two identical cells, whether connected in series or parallel combination provides the same current through an external resistance of 2$\Omega$. The value of internal resistance of each cell is

Two resistors are connected in series across a battery as shown in figure. If a voltmeter of resistance 2000 $\Omega$ is used to measure the potential difference across 500 $\Omega$ resistor, the reading of the voltmeter will be ___________ V.

The electric field at a point associated with a light wave is given by

E = 200 [sin (6 $\times$ 1015)t + sin (9 $\times$ 1015)t] Vm${}^{-1}$

Given: h = 4.14 $\times$ 10$-$15 eVs

If this light falls on a metal surface having a work function of 2.50 eV, the maximum kinetic energy of the photoelectrons will be

The displacement current of 4.425 $\mu$A is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of 106 Vs${}^{-1}$. The area of each plate of the capacitor is 40 cm2. The distance between each plate of the capacitor is x $\times$ 10$-$3 m. The value of x is __________.

(Permittivity of free space, $\varepsilon_0$ = 8.85 $\times$ 10$-$12 C2 N${}^{-1}$ m${}^{-2}$).

Two point charges Q each are placed at a distance d apart. A third point charge q is placed at a distance x from mid-point on the perpendicular bisector. The value of x at which charge q will experience the maximum Coulomb's force is:

If the electric potential at any point (x, y, z) m in space is given by V = 3x2 volt. The electric field at the point (1, 0, 3) m will be:

The time period of a satellite revolving around earth in a given orbit is 7 hours. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satellite will be

A block of mass M placed inside a box descends vertically with acceleration 'a'. The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of 'a' will be

A block of mass 40 kg slides over a surface, when a mass of 4 kg is suspended through an inextensible massless string passing over frictionless pulley as shown below.

The coefficient of kinetic friction between the surface and block is 0.02. The acceleration of block is. (Given g = 10 ms${}^{-}$2.)

A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of 10m in t s, the distance travelled by the toy in the next t s will be:

Two long current carrying conductors are placed parallel to each other at a distance of 8 cm between them. The magnitude of magnetic field produced at mid-point between the two conductors due to current flowing in them is 300 $\mu$T. The equal current flowing in the two conductors is:

Given below are two statements:

Statement I: The electric force changes the speed of the charged particle and hence changes its kinetic energy; whereas the magnetic force does not change the kinetic energy of the charged particle.

Statement II: The electric force accelerates the positively charged particle perpendicular to the direction of electric field. The magnetic force accelerates the moving charged particle along the direction of magnetic field.

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

The half life of a radioactive substance is 5 years. After x years a given sample of the radioactive substance gets reduced to 6.25% of its initial value. The value of x is ____________.

In the following nuclear reaction,

$D \xrightarrow{\alpha} D_{1} \xrightarrow{\beta^{-}} D_{2} \xrightarrow{\alpha} D_{3} \xrightarrow{\gamma} D_{4}$

Mass number of D is 182 and atomic number is 74. Mass number and atomic number of D4 respectively will be _________.

The motion of a simple pendulum executing S.H.M. is represented by the following equation. $y = A\sin(\pi t + \phi)$, where time is measured in second. The length of pendulum is

A person can throw a ball upto a maximum range of 100 m. How high above the ground he can throw the same ball?

The speed of light in media 'A' and 'B' are $2.0 \times 10^{10}$ cm/s and $1.5 \times 10^{10}$ cm/s respectively. A ray of light enters from the medium B to A at an incident angle '$\theta$'. If the ray suffers total internal reflection, then

The moment of inertia of a uniform thin rod about a perpendicular axis passing through one end is I1. The same rod is bent into a ring and its moment of inertia about a diameter is I2. If $\frac{I_1}{I_2}$ is $\frac{x\pi^2}{3}$, then the value of x will be ____________.

A potential barrier of 0.4 V exists across a p-n junction. An electron enters the junction from the n- side with a speed of 6.0 $\times$ 105 ms${}^{-1}$. The speed with which electron enters the p side will be $\frac{x}{3} \times 10^{5}$ ms${}^{-1}$ the value of x is _____________.

(Given mass of electron = 9 $\times$ 10$-$31 kg, charge on electron = 1.6 $\times$ 10$-$19 C.)

A vessel contains 16g of hydrogen and 128g of oxygen at standard temperature and pressure. The volume of the vessel in cm3 is:

Starting with the same initial conditions, an ideal gas expands from volume V1 to V2 in three different ways. The work done by the gas is W1 if the process is purely isothermal, W2, if the process is purely adiabatic and W3 if the process is purely isobaric. Then, choose the correct option

At what temperature a gold ring of diameter 6.230 cm be heated so that it can be fitted on a wooden bangle of diameter 6.241 cm? Both the diameters have been measured at room temperature (27$^\circ$C).

(Given: coefficient of linear thermal expansion of gold $\alpha$L = 1.4 $\times$ 10$-$5 K${}^{-1}$)

The Vernier constant of Vernier callipers is 0.1 mm and it has zero error of ( $-$0.05) cm. While measuring diameter of a sphere, the main scale reading is 1.7 cm and coinciding vernier division is 5. The corrected diameter will be _________ $\times$ 10$-$2 cm.

A small spherical ball of radius 0.1 mm and density 104 kg m${}^{-3}$ falls freely under gravity through a distance h before entering a tank of water. If, after entering the water the velocity of ball does not change and it continue to fall with same constant velocity inside water, then the value of h will be ___________ m.

(Given g = 10 ms${}^{-2}$, viscosity of water = 1.0 $\times$ 10$-$5 N-sm${}^{-2}$).

In an experiment to determine the velocity of sound in air at room temperature using a resonance tube, the first resonance is observed when the air column has a length of 20.0 cm for a tuning fork of frequency 400 Hz is used. The velocity of the sound at room temperature is 336 ms${}^{-1}$. The third resonance is observed when the air column has a length of _____________ cm.

In a double slit experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the plane of slits. If the screen is moved by 5 $\times$ 10$-$2 m towards the slits, the change in fringe width is 3 $\times$ 10$-$3 cm. If the distance between the slits is 1 mm, then the wavelength of the light will be ____________ nm.

In the given figure, the block of mass m is dropped from the point 'A'. The expression for kinetic energy of block when it reaches point 'B' is