“2021年IOAA理论第1题-LIGO”的版本间的差异
Jingsong Guo（讨论 | 贡献） （创建页面，内容为“==英文题目== ==中文翻译== ==解答==”） |
Jingsong Guo（讨论 | 贡献） |
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==英文题目== | ==英文题目== | ||
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| + | '''LIGO (5 points)''' | ||
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| + | 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 $$𝐸_{𝑆𝑁} = 2 × 10^{44} 𝐽$$ . | ||
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| + | To find out which of these two events (SN, GW) releases more energy, estimate | ||
| + | the energy ratio $$\dfrac{𝐸_{𝑆𝑁}} | ||
| + | {𝐸_{𝐺𝑊}}$$. | ||
==中文翻译== | ==中文翻译== | ||
==解答== | ==解答== | ||
2022年3月9日 (三) 21:52的最新版本
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 $$\dfrac{𝐸_{𝑆𝑁}} {𝐸_{𝐺𝑊}}$$.
