JEE Main 2023 (Online) 13th April Morning Shift

In the given figure, an inductor and a resistor are connected in series with a battery of emf E volt. \(\frac{E^{a}}{2 b} \mathrm{~J} / s\) represents the maximum rate at which the energy is stored in the magnetic field (inductor). The nume...

\(_{92}^{238}A \to _{90}^{234}B + _2^4D + Q\)
In the given nuclear reaction, the approximate amount of energy released will be:
[Given, mass of \({ }_{92}^{238} \mathrm{~A}=238.05079 \times 931.5 ~\mathrm{MeV} / \mathrm{c}^{2},\)
mass of $$...

The radius of \(2^{\text {nd }}\) orbit of \(\mathrm{He}^{+}\) of Bohr's model is \(r_{1}\) and that of fourth orbit of \(\mathrm{Be}^{3+}\) is represented as \(r_{2}\). Now the ratio \(\frac{r_{2}}{r_{1}}\) is \(x: 1\). The value of \(x\) ...

A bullet of \(10 \mathrm{~g}\) leaves the barrel of gun with a velocity of \(600 \mathrm{~m} / \mathrm{s}\). If the barrel of gun is \(50 \mathrm{~cm}\) long and mass of gun is \(3 \mathrm{~kg}\), then value of impulse supplied to the gun w...

Match List - I with List - II

.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:norma...

Different combination of 3 resistors of equal resistance \(\mathrm{R}\) are shown in the figures. The increasing order for power dissipation is:

When a resistance of \(5 ~\Omega\) is shunted with a moving coil galvanometer, it shows a full scale deflection for a current of \(250 \mathrm{~mA}\), however when \(1050 ~\Omega\) resistance is connected with it in series, it gives full sc...

A potential \(\mathrm{V}_{0}\) is applied across a uniform wire of resistance \(R\). The power dissipation is \(P_{1}\). The wire is then cut into two equal halves and a potential of \(V_{0}\) is applied across the length of each half. The ...

The difference between threshold wavelengths for two metal surfaces \(\mathrm{A}\) and \(\mathrm{B}\) having work function \(\phi_{A}=9 ~\mathrm{eV}\) and \(\phi_{B}=4 \cdot 5 ~\mathrm{eV}\) in \(\mathrm{nm}\) is:
\(\{\) Given, hc $$=1242 ~...

Which of the following Maxwell's equation is valid for time varying conditions but not valid for static conditions :

For the following circuit and given inputs A and B, choose the correct option for output '\(Y\)'

From the given transfer characteristic of a transistor in \(\mathrm{CE}\) configuration, the value of power gain of this configuration is \(10^{x}\), for \(\mathrm{R}_{\mathrm{B}}=10 ~\mathrm{k} \Omega\), and $$\mathrm{R}_{\mathrm{C}}=1 ~\m...

Two charges each of magnitude \(0.01 ~\mathrm{C}\) and separated by a distance of \(0.4 \mathrm{~mm}\) constitute an electric dipole. If the dipole is placed in an uniform electric field '\(\vec{E}\)' of 10 dyne/C making \(30^{\circ}\) angl...

A thin infinite sheet charge and an infinite line charge of respective charge densities \(+\sigma\) and \(+\lambda\) are placed parallel at \(5 \mathrm{~m}\) distance from each other. Points 'P' and 'Q' are at \(\frac{3}{\pi}\) m and $$\fra...

A vessel of depth '\(d\)' is half filled with oil of refractive index \(n_{1}\) and the other half is filled with water of refractive index \(n_{2}\). The apparent depth of this vessel when viewed from above will be-

A fish rising vertically upward with a uniform velocity of \(8 \mathrm{~ms}^{-1}\), observes that a bird is diving vertically downward towards the fish with the velocity of \(12 \mathrm{~ms}^{-1}\). If the refractive index of water is $$\fr...

A planet having mass \(9 \mathrm{Me}\) and radius \(4 \mathrm{R}_{\mathrm{e}}\), where \(\mathrm{Me}\) and \(\mathrm{Re}\) are mass and radius of earth respectively, has escape velocity in \(\mathrm{km} / \mathrm{s}\) given by:
(Given escap...

The rms speed of oxygen molecule in a vessel at particular temperature is \(\left(1+\frac{5}{x}\right)^{\frac{1}{2}} v\), where \(v\) is the average speed of the molecule. The value of \(x\) will be:
\(\left(\right.\) Take $$\left.\pi=\frac...

The source of time varying magnetic field may be
(A) a permanent magnet
(B) an electric field changing linearly with time
(C) direct current
(D) a decelerating charge particle
(E) an antenna fed with a digital signal
Choose the correct answ...

Two trains 'A' and 'B' of length '\(l\)' and '\(4 l\)' are travelling into a tunnel of length '\(\mathrm{L}\)' in parallel tracks from opposite directions with velocities \(108 \mathrm{~km} / \mathrm{h}\) and $$72 \mathrm{~km} / \mathrm{h}$...

The figure shows a liquid of given density flowing steadily in horizontal tube of varying cross - section. Cross sectional areas at \(\mathrm{A}\) is \(1.5 \mathrm{~cm}^{2}\), and \(\mathrm{B}\) is \(25 \mathrm{~mm}^{2}\), if the speed of ...

Under isothermal condition, the pressure of a gas is given by \(\mathrm{P}=a \mathrm{~V}^{-3}\), where \(a\) is a constant and \(\mathrm{V}\) is the volume of the gas. The bulk modulus at constant temperature is equal to

The elastic potential energy stored in a steel wire of length \(20 \mathrm{~m}\) stretched through \(2 \mathrm{~cm}\) is \(80 \mathrm{~J}\). The cross sectional area of the wire is __________ \(\mathrm{mm}^{2}\).
\(\left(\right.\) Given, $$...

A disc is rolling without slipping on a surface. The radius of the disc is \(R\). At \(t=0\), the top most point on the disc is \(\mathrm{A}\) as shown in figure. When the disc completes half of its rotation, the displacement of point A fro...

A solid sphere is rolling on a horizontal plane without slipping. If the ratio of angular momentum about axis of rotation of the sphere to the total energy of moving sphere is \(\pi: 22\) then, the value of its angular speed will be _______...

Which graph represents the difference between total energy and potential energy of a particle executing SHM vs it's distance from mean position ?

At a given point of time the value of displacement of a simple harmonic oscillator is given as \(\mathrm{y}=\mathrm{A} \cos \left(30^{\circ}\right)\).
If amplitude is \(40 \mathrm{~cm}\) and kinetic energy at that time is $$200 \mathrm{~J}...

A body of mass \((5 \pm 0.5) ~\mathrm{kg}\) is moving with a velocity of \((20 \pm 0.4) ~\mathrm{m} / \mathrm{s}\). Its kinetic energy will be

The ratio of powers of two motors is \(\frac{3 \sqrt{x}}{\sqrt{x}+1}\), that are capable of raising \(300 \mathrm{~kg}\) water in 5 minutes and \(50 \mathrm{~kg}\) water in 2 minutes respectively from a well of \(100 \mathrm{~m}\) deep. The...

Two bodies are having kinetic energies in the ratio 16 : 9. If they have same linear momentum, the ratio of their masses respectively is :