Comprehension \( \quad \) Max Planck noted in 1899 the existence of a system of units based on t...
0Comprehension \( \quad \) Max Planck noted in 1899 the existence of a system of units based on the three fundamental constants \( G, c \), and \( h \). These constants are dimensionally independent in the sense that no combination is dimensionless and a length, a time, and a mass may be constructed from them.
Specifically, with \( \hbar \equiv \frac{h}{2 \pi}=1.05 \times 10^{-34} \) SI units in preference to \( h \), the Planck scale is represented by \( \ell_{P}, T_{P}, M_{P} \)
Which of the following formula can represent length in terms of \( \hbar, c \) and \( G \) ?
(a) \( \sqrt{\frac{\hbar G}{c^{3}}} \)
(b) \( \sqrt{\frac{\hbar c}{G}} \)
(c) \( \sqrt{\frac{G c}{\hbar}} \)
(d) \( \sqrt{G \hbar c} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live