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If velocity of light c, Planck s constan...

If velocity of light c, Planck s constant h and gravitational constant G are taken as fundamental quantities, then express mass, length and time in terms of dimensions of these quantities.

Text Solution

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`sqrt((hc)/(G)) , sqrt((Gh)/(e^3)) , sqrt((Gh)/(e^5))`
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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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