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1.Units, Dimensions and Measurement
hard
The characteristic distance at which quantum gravitational effects are significant, the Planck length, can be determined from a suitable combination of the fundamental physical constants $G, h$ and $c$ . Which of the following correctly gives the Planck length?
A
$G^2hc$
B
${\left( {\frac{{Gh}}{{{c^3}}}} \right)^{\frac{1}{2}}}$
C
${G^{\frac{1}{2}}}{h^2}c$
D
$Gh^2c^3$
(JEE MAIN-2018)
Solution
Plank length is a unit of length
$I_p\,= 1.616229\times10^{-35}\,m$
${l_p} = \sqrt {\frac{{hG}}{{{c^3}}}} $
Standard 11
Physics