JEE Main 2024 (Online) 5th April Morning Shift

An alternating voltage of amplitude \(40 \mathrm{~V}\) and frequency \(4 \mathrm{~kHz}\) is applied directly across the capacitor of \(12 \mu \mathrm{F}\). The maximum displacement current between the plates of the capacitor is nearly :

An ac source is connected in given series LCR circuit. The rms potential difference across the capacitor of \(20 \mu \mathrm{F}\) is __________ V.

An electron rotates in a circle around a nucleus having positive charge \(\mathrm{Ze}\). Correct relation between total energy (E) of electron to its potential energy (U) is :

If three helium nuclei combine to form a carbon nucleus then the energy released in this reaction is
________ \(\times 10^{-2} \mathrm{~MeV}\). (Given \(1 \mathrm{u}=931 \mathrm{~MeV} / \mathrm{c}^2\), atomic mass of helium $$=4.002603 \mat...

Three capacitors of capacitances \(25 \mu \mathrm{F}, 30 \mu \mathrm{F}\) and \(45 \mu \mathrm{F}\) are connected in parallel to a supply of \(100 \mathrm{~V}\). Energy stored in the above combination is E. When these capacitors are connect...

The electric field between the two parallel plates of a capacitor of \(1.5 \mu \mathrm{F}\) capacitance drops to one third of its initial value in \(6.6 \mu \mathrm{s}\) when the plates are connected by a thin wire. The resistance of this w...

In the experiment to determine the galvanometer resistance by half-deflection method, the plot of \(1 / \theta\) vs the resistance (R) of the resistance box is shown in the figure. The figure of merit of the galvanometer is _________ $$\tim...

In the given figure \(\mathrm{R}_1=10 \Omega, \mathrm{R}_2=8 \Omega, \mathrm{R}_3=4 \Omega\) and \(\mathrm{R}_4=8 \Omega\). Battery is ideal with emf \(12 \mathrm{~V}\). Equivalent resistant of the circuit and current supplied by battery ar...

Given below are two statements :

Statement I : Figure shows the variation of stopping potential with frequency \((v)\) for the two photosensitive materials \(M_1\) and \(M_2\). The slope gives value of \(\frac{h}{e}\), where \(h\) is Planc...

Two conducting circular loops A and B are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them is:

Following gates section is connected in a complete suitable circuit.

For which of the following combination, bulb will glow (ON) :

In hydrogen like system the ratio of coulombian force and gravitational force between an electron and a proton is in the order of :

Match List I with List II :

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If \(\mathrm{G}\) be the gravitational constant and \(\mathrm{u}\) be the energy density then which of the following quantity have the dimensions as that of the \(\sqrt{\mathrm{uG}}\) :

If the collision frequency of hydrogen molecules in a closed chamber at \(27^{\circ} \mathrm{C}\) is \(\mathrm{Z}\), then the collision frequency of the same system at \(127^{\circ} \mathrm{C}\) is :

The heat absorbed by a system in going through the given cyclic process is :

A wooden block of mass \(5 \mathrm{~kg}\) rests on a soft horizontal floor. When an iron cylinder of mass \(25 \mathrm{~kg}\) is placed on the top of the block, the floor yields and the block and the cylinder together go down with an accele...

Three blocks \(\mathrm{M_1, M_2, M_3}\) having masses \(4 \mathrm{~kg}, 6 \mathrm{~kg}\) and \(10 \mathrm{~kg}\) respectively are hanging from a smooth pully using rope 1, 2 and 3 as shown in figure. The tension in the rope $$\mathrm{1, T_1...

A 2A current carrying straight metal wire of resistance \(1 \Omega\), resistivity \(2 \times 10^{-6} \Omega \mathrm{m}\), area of cross-section \(10 \mathrm{~mm}^2\) and mass \(500 \mathrm{~g}\) is suspended horizontally in mid air by apply...

In a co-axial straight cable, the central conductor and the outer conductor carry equal currents in opposite directions. The magnetic field is zero :

A body moves on a frictionless plane starting from rest. If \(\mathrm{S_n}\) is distance moved between \(\mathrm{t=n-1}\) and \(\mathrm{t}=\mathrm{n}\) and \(\mathrm{S}_{\mathrm{n}-1}\) is distance moved between \(\mathrm{t}=\mathrm{n}-2\) ...

The density and breaking stress of a wire are \(6 \times 10^4 \mathrm{~kg} / \mathrm{m}^3\) and \(1.2 \times 10^8 \mathrm{~N} / \mathrm{m}^2\) respectively. The wire is suspended from a rigid support on a planet where acceleration due to gr...

Given below are two statements :
Statement I : When a capillary tube is dipped into a liquid, the liquid neither rises nor falls in the capillary. The contact angle may be \(0^{\circ}\).
Statement II : The contact angle between a solid and ...

Ratio of radius of gyration of a hollow sphere to that of a solid cylinder of equal mass, for moment of Inertia about their diameter axis \(A B\) as shown in figure is \(\sqrt{8 / x}\). The value of \(x\) is :

A simple pendulum doing small oscillations at a place \(R\) height above earth surface has time period of \(T_1=4 \mathrm{~s}\). \(\mathrm{T}_2\) would be it's time period if it is brought to a point which is at a height \(2 \mathrm{R}\) fr...

Time periods of oscillation of the same simple pendulum measured using four different measuring clocks were recorded as \(4.62 \mathrm{~s}, 4.632 \mathrm{~s}, 4.6 \mathrm{~s}\) and \(4.64 \mathrm{~s}\). The arithmetic mean of these readings...

The angle between vector \(\vec{Q}\) and the resultant of \((2 \vec{Q}+2 \vec{P})\) and \((2 \vec{Q}-2 \vec{P})\) is :

Light emerges out of a convex lens when a source of light kept at its focus. The shape of wavefront of the light is :

In Young's double slit experiment, carried out with light of wavelength \(5000~\mathop A\limits^o\), the distance between the slits is \(0.3 \mathrm{~mm}\) and the screen is at \(200 \mathrm{~cm}\) from the slits. The central maximum is at ...

A body of mass \(50 \mathrm{~kg}\) is lifted to a height of \(20 \mathrm{~m}\) from the ground in the two different ways as shown in the figures. The ratio of work done against the gravity in both the respective cases, will be :