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Planck 's constant (h) speed of length i...

Planck 's constant (h) speed of length in vaccum (C) and newton 's gravitational constant (G) are three fundamental constant .Which of the following combinations of these has the dimension of length?

A

`(sqrt(hG))/c^(3//2)`

B

`(sqrt(hG))/c^(5//2)`

C

`sqrt((hc)/G)`

D

`sqrt((Gc)/h^(3//2))`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If velocity of light c, planck's constant h and gravitational constnat G are taken as fundamental quantities then the dimensions of the length will be

    A
    `sqrt((ch)/(G))`
    B
    `sqrt((hG)/(c^(5)))`
    C
    `sqrt((hG)/(c^(3)))`
    D
    `sqrt((hc^(3))/(G))`

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