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 2, Physics, published by JEE (Advanced). The official PDF
A particle of mass m is under the influence of the gravitational field of a body of mass M (≫ m). The particle is moving in a circular orbit of radius r₀ with time period T₀ around the mass M. Then, the particle is subjected to an additional central force, corresponding to the potential energy Vc(r) = mα/r³, where α is a positive constant of suitable dimensions and r is the distance from the center of the orbit. If the particle moves in the same circular orbit of radius r₀ in the combined gravitational potential due to M and Vc(r), but with a new time period T₁, then (T₁² − T₀²)/T₁² is given by [G is the gravitational constant.]
A metal target with atomic number Z = 46 is bombarded with a high energy electron beam. The emission of X-rays from the target is analyzed. The ratio r of the wavelengths of the Kα-line and the cut-off is found to be r = 2. If the same electron beam bombards another metal target with Z = 41, the value of r will be
A table tennis ball has radius (3/2) × 10⁻² m and mass (22/7) × 10⁻³ kg. It is slowly pushed down into a swimming pool to a depth of d = 0.7 m below the water surface and then released from rest. It emerges from the water surface at speed v, without getting wet, and rises up to a height H. Which of the following option(s) is(are) correct? [Given: π = 22/7, g = 10 m s⁻², density of water = 1 × 10³ kg m⁻³, viscosity of water = 1 × 10⁻³ Pa-s.]
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 are both measured to be 20.0 cm. The maximum percentage error in the determination of the volume is ______.
A ball is thrown from the location (x₀, y₀) = (0,0) of a horizontal playground with an initial speed v₀ at an angle θ₀ from the +x-direction. The ball is to be hit by a stone, which is thrown at the same time from the location (x₁, y₁) = (L, 0). The stone is thrown at an angle (180 − θ₁) from the +x-direction with a suitable initial speed. For a fixed v₀, when (θ₀, θ₁) = (45°, 45°), the stone hits the ball after time T₁, and when (θ₀, θ₁) = (60°, 30°), it hits the ball after time T₂. In such a case, (T₁/T₂)² is ______.
A spherical soap bubble inside an air chamber at pressure P₀ = 10⁵ Pa has a certain radius so that the excess pressure inside the bubble is ΔP = 144 Pa. Now, the chamber pressure is reduced to 8P₀/27 so that the bubble radius and its excess pressure change. In this process, all the temperatures remain unchanged. Assume air to be an ideal gas and the excess pressure ΔP in both the cases to be much smaller than the chamber pressure. The new excess pressure ΔP in Pa is ______.