2021年IOAA理论第1题-LIGO

英文题目

LIGO (5 points)

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 $$35𝑀_⊙$$ and $$30𝑀_⊙$$, which when joined formed a black hole of $$62𝑀_⊙$$. 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 $$𝐸_{𝑆𝑁} = 2 × 10^{44} 𝐽$$ .

To find out which of these two events (SN, GW) releases more energy, estimate the energy ratio $$\dfrac{𝐸_{𝑆𝑁}} {𝐸_{𝐺𝑊}}$$.