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Plank's constant (h), speed of light in ...

Plank's constant (h), speed of light in vacuum (c) and Newton's gravitational constant (G) are taken as three fundamental constants.
Which of the following combinations of these has the dimensions 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

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • Plank 's constant (h) speed of length in vacium (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((hc)/(G))`
    B
    `sqrt((Gc)/(h^(3//2)))`
    C
    `sqrt((hG)/(c^(3//2)))`
    D
    `sqrt((hG)/(c^(5//2)))`

  • Plannk's constant (h),speed of light in vaccum (c) and Newton's gravitational constant (G) are thse fundamental has the dimension of light?

    A
    `sqrt((hc)/(G))`
    B
    `sqrt((Gc)/(h^(3//2))`
    C
    `(sqrt(hG))/(c^(3//2))`
    D
    `sqrt((hG)/(c^(3//2))`

  • The dimensions of gravitational constant G are :

    A
    `[MLT^(-2)]`
    B
    `[ML^(3)T^(-2)]`
    C
    `[M^(-1)L^(3)T^(-2)]`
    D
    `[M^(-1)LT^(-2)]`

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