JEE Main 2024 (Online) 9th April Evening Shift

A capacitor of reactance \(4 \sqrt{3} \Omega\) and a resistor of resistance \(4 \Omega\) are connected in series with an ac source of peak value \(8 \sqrt{2} \mathrm{~V}\). The power dissipation in the circuit is __________ W.

A hydrogen atom in ground state is given an energy of \(10.2 \mathrm{~eV}\). How many spectral lines will be emitted due to transition of electrons?

A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of \(2: 1\). After disintegration they will move :

The energy released in the fusion of \(2 \mathrm{~kg}\) of hydrogen deep in the sun is \(E_H\) and the energy released in the fission of \(2 \mathrm{~kg}\) of \({ }^{235} \mathrm{U}\) is \(E_U\). The ratio \(\frac{E_H}{E_U}\) is approximate...

At room temperature \((27^{\circ} \mathrm{C})\), the resistance of a heating element is \(50 \Omega\). The temperature coefficient of the material is \(2.4 \times 10^{-4}{ }^{\circ} \mathrm{C}^{-1}\). The temperature of the element, when it...

To determine the resistance (R) of a wire, a circuit is designed below. The \(V\)-\(I\) characteristic curve for this circuit is plotted for the voltmeter and the ammeter readings as shown in figure. The value of $R$ is _________ \(\Omega\)...

The effective resistance between \(A\) and \(B\), if resistance of each resistor is \(R\), will be :

UV light of \(4.13 \mathrm{~eV}\) is incident on a photosensitive metal surface having work function \(3.13 \mathrm{~eV}\). The maximum kinetic energy of ejected photoelectrons will be:

A square loop of side \(15 \mathrm{~cm}\) being moved towards right at a constant speed of \(2\mathrm{~cm} / \mathrm{s}\) as shown in figure. The front edge enters the \(50 \mathrm{~cm}\) wide magnetic field at \(t=0\). The value of induced...

The magnetic field in a plane electromagnetic wave is \(\mathrm{B}_{\mathrm{y}}=\left(3.5 \times 10^{-7}\right) \sin \left(1.5 \times 10^3 x+0.5 \times 10^{11} t\right) \mathrm{T}\). The corresponding electric field will be :

The \(I\)-\(V\) characteristics of an electronic device shown in the figure. The device is :

In the truth table of the above circuit the value of X and Y are :

Five charges \(+q,+5 q,-2 q,+3 q\) and \(-4 q\) are situated as shown in the figure. The electric flux due to this configuration through the surface \(S\) is :

An electric field \(\vec{E}=(2 x \hat{i}) N C^{-1}\) exists in space. A cube of side \(2 \mathrm{~m}\) is placed in the space as per figure given below. The electric flux through the cube is ______ \(\mathrm{Nm}^2 / \mathrm{C}\).

The following figure represents two biconvex lenses \(L_1\) and \(L_2\) having focal length \(10 \mathrm{~cm}\) and \(15 \mathrm{~cm}\) respectively. The distance between \(L_1\) & \(L_2\) is :

A satellite of \(10^3 \mathrm{~kg}\) mass is revolving in circular orbit of radius \(2 R\). If \(\frac{10^4 R}{6} \mathrm{~J}\) energy is supplied to the satellite, it would revolve in a new circular orbit of radius
(use $$g=10 \mathrm{~m} ...

The temperature of a gas is \(-78^{\circ} \mathrm{C}\) and the average translational kinetic energy of its molecules is \(\mathrm{K}\). The temperature at which the average translational kinetic energy of the molecules of the same gas becom...

A real gas within a closed chamber at \(27^{\circ} \mathrm{C}\) undergoes the cyclic process as shown in figure. The gas obeys \(P V^3=R T\) equation for the path \(A\) to \(B\). The net work done in the complete cycle is (assuming $$R=8 \m...

A \(1 \mathrm{~kg}\) mass is suspended from the ceiling by a rope of length \(4 \mathrm{~m}\). A horizontal force '\(F\)' is applied at the mid point of the rope so that the rope makes an angle of \(45^{\circ}\) with respect to the vertical...

A proton and a deutron \((q=+\mathrm{e}, m=2.0 \mathrm{u})\) having same kinetic energies enter a region of uniform magnetic field \(\vec{B}\), moving perpendicular to \(\vec{B}\). The ratio of the radius \(r_d\) of deutron path to the radi...

A straight magnetic strip has a magnetic moment of \(44 \mathrm{~Am}^2\). If the strip is bent in a semicircular shape, its magnetic moment will be ________ \(\mathrm{Am}^2\).
(given \(\pi=\frac{22}{7}\))

Two cars are travelling towards each other at speed of \(20 \mathrm{~m} \mathrm{~s}^{-1}\) each. When the cars are \(300 \mathrm{~m}\) apart, both the drivers apply brakes and the cars retard at the rate of $$2 \mathrm{~m} \mathrm{~s}^{-2}$...

A spherical ball of radius \(1 \times 10^{-4} \mathrm{~m}\) and density \(10^5 \mathrm{~kg} / \mathrm{m}^3\) falls freely under gravity through a distance \(h\) before entering a tank of water, If after entering in water the velocity of the...

The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the second bubble is:

A circular disc reaches from top to bottom of an inclined plane of length \(l\). When it slips down the plane, if takes \(t \mathrm{~s}\). When it rolls down the plane then it takes \(\left(\frac{\alpha}{2}\right)^{1 / 2} t \mathrm{~s}\), w...

A particle of mass \(0.50 \mathrm{~kg}\) executes simple harmonic motion under force \(F=-50(\mathrm{Nm}^{-1}) x\). The time period of oscillation is \(\frac{x}{35} s\). The value of \(x\) is _________.
(Given \(\pi=\frac{22}{7}\))

The de-Broglie wavelength associated with a particle of mass \(m\) and energy \(E\) is \(h / \sqrt{2 m E}\). The dimensional formula for Planck's constant is :

The resultant of two vectors \(\vec{A}\) and \(\vec{B}\) is perpendicular to \(\vec{A}\) and its magnitude is half that of \(\vec{B}\). The angle between vectors \(\vec{A}\) and \(\vec{B}\) is _________\(^\circ\).

Monochromatic light of wavelength \(500 \mathrm{~nm}\) is used in Young's double slit experiment. An interference pattern is obtained on a screen. When one of the slits is covered with a very thin glass plate (refractive index \(=1.5\)), th...

A force \((3 x^2+2 x-5) \mathrm{N}\) displaces a body from \(x=2 \mathrm{~m}\) to \(x=4 \mathrm{~m}\). Work done by this force is ________ J.