IOAA 2022, Теория — Задача 1. Planck’s units

International Olympiad on Astronomy and Astrophysics 2022 Georgia — Theoretical Competition · 16 август 2022 г. · 10 т.

Условие

In Max Planck’s system of natural units of measurements, commonly used in cosmology, all units are expressed in terms of 4 fundamental constants: speed of light ($c$), universal gravitational constant ($G$), reduced Planck constant ($\hbar = \frac{h}{2\pi}$) and Boltzmann constant ($k_B$). Also, ($4\pi\epsilon_0$) is included in this list of constants.

Using dimensional analysis, find expressions for

• Planck length ($L_p$),
• Planck time ($t_p$),
• Planck mass ($m_p$),
• Planck temperature ($T_p$) and
• the Planck charge ($q_p$).

(10pt)

Отговори

Решение

Оригинал в Архива: Theory Problems.pdf · официални решения: Theory Solutions.pdf