The characteristic distance at which quantum gravitational effect are significant the planck length can be determined form a suitable combination of the fundamental physical constant G h and c which of the followng correctly gives the planck length ?

Options

A. `G^(2)hc`
B. `((Gh)/(c^(3)))^((1)/(2))`
C. `G^((1)/(2))h^(2)c`
D. `Gh^(2)c^(3)`

Answer

B

Explanation

Planck length is a unit of length, `l_(p)=1.616226xx10^(-35)m`
`l_(p)=sqrt((hG)/(c^(3)))`