JEE Advanced 2024 - Paper 2

A region in the form of an equilateral triangle (in the $x-y$ plane) of height $L$ has a uniform magnetic field $\vec{B}

A particle of mass $m$ is under the influence of the gravitational field of a body of mass $M$ ($M \gg m$). The particle

A metal target with atomic number $Z = 46$ is bombarded with a high energy electron beam. The emission of X-rays from th

A thin stiff insulated metal wire is bent into a circular loop with its two ends extending tangentially from the same po

A small electric dipole $\vec{p}_0$, having a moment of inertia $I$ about its center, is kept at a distance $r$ from the

A table tennis ball has radius $(3/2) \times 10^{-2}$ m and mass $(22/7) \times 10^{-3}$ kg. It is slowly pushed down in

A positive, singly ionized atom of mass number $A_M$ is accelerated from rest by the voltage $192\text{ V}$. Thereafter,

The dimensions of a cone are measured using a scale with a least count of 2 mm. The diameter of the base and the height

A ball is thrown from the location $(x_0, y_0) = (0,0)$ of a horizontal playground with an initial speed $v_0$ at an ang

A charge is kept at the central point P of a cylindrical region. The two edges subtend a half-angle $\theta$ at P, as sh

Two equilateral-triangular prisms $P_1$ and $P_2$ are kept with their sides parallel to each other, in vacuum, as shown

An infinitely long thin wire, having a uniform charge density per unit length of $5$ nC/m, is passing through a spherica

A spherical soap bubble inside an air chamber at pressure $P_0 = 10^5$ Pa has a certain radius so that the excess pressu

The $8^{th}$ bright fringe above the point O oscillates with time between two extreme positions. The separation between

The maximum speed in $\mu$m/s at which the $8^{th}$ bright fringe will move is __________.

If the collision occurs at time $t_0 = 0$, the value of $v_{cm}/(a\omega)$ will be __________.

If the collision occurs at time $t_0 = \pi/(2\omega)$, then the value of $4b^2/a^2$ will be ________.