The characteristic distance at which quantum gravitational effects are significant

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

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? (1)

G^2hc

(2)

\left(\frac{Gh}{c^3}\right)^{\frac{1}{2}}

(3)

\frac{1}{G^2h^2c}

(4)

Gh^2c^3

Related theory

Dimensional Analysis
Deriving relations using dimensions
Dimensional analysis and its applications

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