JEE Main 2022 Physics Paper: 26 Jun, Shift 1

A 110 V, 50 Hz, AC source is connected in the circuit (as shown in figure). The current through the resistance 55 $\Omega$, at resonance in the circuit, will be __________ A.

Two capacitors having capacitance C1 and C2 respectively are connected as shown in figure. Initially, capacitor C1 is charged to a potential difference V volt by a battery. The battery is then removed and the charged capacitor C1 is now connected to uncharged capacitor C2 by closing the switch S. The amount of charge on the capacitor C2, after equilibrium, is:

A ball is released from rest from point P of a smooth semi-spherical vessel as shown in figure. The ratio of the centripetal force and normal reaction on the ball at point Q is A while angular position of point Q is $\alpha$ with respect to point P. Which of the following graphs represent the correct relation between A and $\alpha$ when ball goes from Q to R?

An aluminium wire is stretched to make its length, 0.4% larger. The percentage change in resistance is:

An electron with speed v and a photon with speed c have the same de-Broglie wavelength. If the kinetic energy and momentum of electron are Ee and pe and that of photon are Eph and pph respectively. Which of the following is correct?

The magnetic flux through a coil perpendicular to its plane is varying according to the relation $\phi = (5t^{3} + 4t^{2} + 2t - 5)$ Weber. If the resistance of the coil is 5 ohm, then the induced current through the coil at t = 2 s will be,

A 10 $\Omega$, 20 mH coil carrying constant current is connected to a battery of 20 V through a switch. Now after switch is opened current becomes zero in 100 $\mu$s. The average e.m.f. induced in the coil is ____________ V.

In free space, an electromagnetic wave of 3 GHz frequency strikes over the edge of an object of size $\frac{\lambda}{100}$, where $\lambda$ is the wavelength of the wave in free space. The phenomenon, which happens there will be:

If Electric field intensity of a uniform plane electromagnetic wave is given as

$E = -301.6\sin(kz - \omega t)\hat{a}_x + 452.4\sin(kz - \omega t)\hat{a}_y\,\frac{\text{V}}{\text{m}}$. Then magnetic intensity 'H' of this wave in Am${}^{-1}$ will be:

[Given: Speed of light in vacuum $c = 3\times 10^{8}$ ms${}^{-1}$, Permeability of vacuum $\mu_0 = 4\pi\times 10^{-7}$ NA${}^{-2}$]

Given below two statements: One is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A): Non-polar materials do not have any permanent dipole moment. Reason (R): When a non-polar material is placed in an electric field, the centre of the positive charge distribution of it's individual atom or molecule coincides with the centre of the negative charge distribution.

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

An ideal fluid of density 800 kgm${}^{-3}$, flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to $\frac{a}{2}$. The pressure difference between the wide and narrow sections of pipe is 4100 Pa. At wider section, the velocity of fluid is $\frac{\sqrt{x}}{6}$ ms${}^{-1}$ for x = ___________. (Given g = 10 ms${}^{-2}$)

The variation of acceleration due to gravity (g) with distance (r) from the center of the earth is correctly represented by:

(Given R = radius of earth)

A person is standing in an elevator. In which situation, he experiences weight loss?

The elastic behaviour of material for linear stress and linear strain, is shown in the figure. The energy density for a linear strain of 5 $\times$ 10−4 is __________ kJ/m3. Assume that material is elastic upto the linear strain of 5 $\times$ 10−4.

The elongation of a wire on the surface of the earth is 10−4 m. The same wire of same dimensions is elongated by 6 $\times$ 10−5 m on another planet. The acceleration due to gravity on the planet will be ____________ ms−2. (Take acceleration due to gravity on the surface of earth = 10 ms−2)

A ball of mass 0.5 kg is dropped from the height of 10 m. The height, at which the magnitude of velocity becomes equal to the magnitude of acceleration due to gravity, is ________ m. [Use g = 10 m/s2]

A proton and an alpha particle of the same velocity enter in a uniform magnetic field which is acting perpendicular to their direction of motion. The ratio of the radii of the circular paths described by the alpha particle and proton is:

How many alpha and beta particles are emitted when Uranium 92U238 decays to lead 82Pb206?

Time period of a simple pendulum in a stationary lift is 'T'. If the lift accelerates with $\frac{g}{6}$ vertically upwards then the time period will be:

(Where g = acceleration due to gravity)

A fighter jet is flying horizontally at a certain altitude with a speed of 200 ms${}^{-1}$. When it passes directly overhead an anti-aircraft gun, a bullet is fired from the gun, at an angle $\theta$ with the horizontal, to hit the jet. If the bullet speed is 400 m/s, the value of $\theta$ will be ___________$^\circ$.

A light ray is incident, at an incident angle $\theta$1, on the system of two plane mirrors M1 and M2 having an inclination angle 75$^\circ$ between them (as shown in figure). After reflecting from mirror M1 it gets reflected back by the mirror M2 with an angle of reflection 30$^\circ$. The total deviation of the ray will be _____________ degree.

A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 rads${}^{-1}$ in a horizontal plane about an axis vertical to its plane and passing through the center of the ring. If two objects each of mass m be attached gently to the opposite ends of a diameter of ring, the ring will then rotate with an angular velocity (in rads${}^{-1}$).

The I-V characteristics of a p-n junction diode in forward bias is shown in the figure. The ratio of dynamic resistance, corresponding to forward bias voltage of 2 V and 4 V respectively, is:

As per the given circuit, the value of current through the battery will be ____________ A.

A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats 1.4. Vessel is moving with speed v and is suddenly brought to rest. Assuming no heat is lost to the surrounding and vessel, temperature of the gas increases by:

(R = universal gas constant)

The efficiency of a Carnot's engine, working between steam point and ice point, will be:

An expression for a dimensionless quantity P is given by $P = \frac{\alpha}{\beta}\log_e\left(\frac{kt}{\beta x}\right)$; where $\alpha$ and $\beta$ are constants, x is distance; k is Boltzmann constant and t is the temperature. Then the dimensions of $\alpha$ will be:

In a vernier callipers, each cm on the main scale is divided into 20 equal parts. If tenth vernier scale division coincides with nineth main scale division. Then the value of vernier constant will be _________ $\times$ 10$-$2 mm.