202460 marks17 questions
6 of its 17 questions are here. The rest have a figure or are still being checked, so for now they're only in the official PDF.
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Source: JEE (Advanced) 2024, Paper 1, Physics, published by JEE (Advanced). The official PDF
A dimensionless quantity is constructed in terms of electronic charge e, permittivity of free space ε₀, Planck’s constant h, and speed of light c. If the dimensionless quantity is written as eᵅ ε₀ᵝ hᵞ cᵟ and n is a non-zero integer, then (α, β, γ, δ) is given by
An infinitely long wire, located on the z-axis, carries a current I along the +z-direction and produces the magnetic field B⃗. The magnitude of the line integral ∫ B⃗ · dl⃗ along a straight line from the point (−√3a, a, 0) to (a, a, 0) is given by [μ₀ is the magnetic permeability of free space.]
Two beads, each with charge q and mass m, are on a horizontal, frictionless, non-conducting, circular hoop of radius R. One of the beads is glued to the hoop at some point, while the other one performs small oscillations about its equilibrium position along the hoop. The square of the angular frequency of the small oscillations is given by [ε₀ is the permittivity of free space.]
A block of mass 5 kg moves along the x-direction subject to the force F = (−20x + 10) N, with the value of x in metre. At time t = 0 s, it is at rest at position x = 1 m. The position and momentum of the block at t = (π/4) s are
The specific heat capacity of a substance is temperature dependent and is given by the formula C = kT, where k is a constant of suitable dimensions in SI units, and T is the absolute temperature. If the heat required to raise the temperature of 1 kg of the substance from −73 °C to 27 °C is nk, the value of n is _____. [Given: 0 K = −273 °C.]
Two large, identical water tanks, 1 and 2, kept on the top of a building of height H, are filled with water up to height h in each tank. Both the tanks contain an identical hole of small radius on their sides, close to their bottom. A pipe of the same internal radius as that of the hole is connected to tank 2, and the pipe ends at the ground level. When the water flows from the tanks 1 and 2 through the holes, the times taken to empty the tanks are t₁ and t₂, respectively. If H = (16/9)h, then the ratio t₁/t₂ is ____.