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Find the dimensions of Planck's constant...

Find the dimensions of Planck's constant. If its value in cgs system is `6.62xx10^(-27)` erg - sec, what will be its value on mks system?

Text Solution

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`h =(E )/(v) = ([MLL^2T^(-2)])/([T^(-1)]) = [M^1 L^2 T^(-1)]`
`h = 6.62xx10^(-27) erg -sec.`
`= 6.62xx10^(-27)xx10^(-7) joule sec`
`=6.62xx10^(-34)Js`
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Knowledge Check

  • The density of a substance in C.G.S. system is 0.475 gram//cm^(3) . What is its value in SI system?

    A
    `0.475 kg//m^(3)`
    B
    `475 kg//m^(3)`
    C
    `0.0475 kg//m^(3)`
    D
    `4.75 kg//m^(3)`

  • Density of a liquid in CGS system is 0.625(g)/(cm^3) . What is its magnitude is SI system?

    A
    0.625
    B
    0.0625
    C
    0.00625
    D
    625

  • The value fo universal gravitationla constant G in CGS system is 6.67xx10^(-8) dyne cm^(2) g^(-2) . Its value in SI system is

    A
    `6.67xx10^(-11) Nm^(2) kg^(-2)`
    B
    `6.67xx10^(-5) Nm^(2) kg^(-2)`
    C
    `6.67xx10^(-10) Nm^(2) kg^(-2)`
    D
    `6.67xx10^(-9) Nm^(2) kg^(-2)`

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