IOAA 2021, Теория — Задача 1. LIGO

Theory — Q1-1 — English (Official) · 5 т.

Standard Table of Constants — values used in this problem

Quantity	Value
Speed of light in vacuum, $c$	$2.998\times10^8\ \mathrm{m\,s^{-1}}$

Solar System — value used in this problem

Sun: mass $1.988\times10^{30}\ \mathrm{kg}$.

Условие

The first detection of gravitational waves GW150414 was announced in 2016 by the collaboration LIGO (Laser Interferometer Gravitational-Wave Observatory). The detected signal corresponds to the merger of two black holes with masses of $35M_{\odot}$ and $30M_{\odot}$, which when joined formed a black hole of $62M_{\odot}$. Ignoring the rotational energies of the black holes, you may assume that the energy released by this process ($E_{GW}$) is emitted solely in the form of gravitational waves, that were observed by the interferometer in 2015. You are given that the explosion of a supernova (SN) releases $E_{SN} = 2 \times 10^{44}\ J$.

1.1 To find out which of these two events (SN, GW) releases more energy, estimate the energy ratio $\frac{E_{SN}}{E_{GW}}$. [5 т.]

Отговори

Решение

Official-source discrepancies

The question prints GW150414; the solution prints GW150914. The solution gives both an energy ratio of 3.7 × 10⁻⁴ and a concluding factor of 2865. These printed values are retained.

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Оригинал в Архива: TQ-1-Q.pdf · официални решения: TQ1.pdf · допълнителни данни: TQ-1-A.pdf · допълнителни данни: Standard-Table-of-constants.docx.pdf · допълнителни данни: TQ-G.pdf · допълнителни данни: data.pdf