202160 marks19 questions
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Source: JEE (Advanced) 2021, Paper 2, Physics, published by JEE (Advanced). The official PDF
A source, approaching with speed u towards the open end of a stationary pipe of length L, is emitting a sound of frequency fₛ. The farther end of the pipe is closed. The speed of sound in air is v and f₀ is the fundamental frequency of the pipe. For which of the following combination(s) of u and fₛ, will the sound reaching the pipe lead to a resonance?
A physical quantity S⃗ is defined as S⃗ = (E⃗ × B⃗)/μ₀, where E⃗ is electric field, B⃗ is magnetic field and μ₀ is the permeability of free space. The dimensions of S⃗ are the same as the dimensions of which of the following quantity(ies)?
The distance between two stars of masses 3Mₛ and 6Mₛ is 9R. Here R is the mean distance between the centers of the Earth and the Sun, and Mₛ is the mass of the Sun. The two stars orbit around their common center of mass in circular orbits with period nT, where T is the period of Earth’s revolution around the Sun. The value of n is ___.