# If the velocity of light c, gravitational constant G and Planck's constant h are chosen h as fundamental units, what are the dimensions of mass, length and time in the new system?

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c = [L] [T]^(-1)

G = [M]^(-1) [L]^(3) [T]^(-2)

h = [M]^(1) [L]^(2)[T]^(-1)

Thanks!

c = [L] [T]^(-1)

G = [M]^(-1) [L]^(3) [T]^(-2)

h = [M]^(1) [L]^(2)[T]^(-1)

Thanks!

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Ratnesh Bhosale
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Nov 2, 2016

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Here,

Let

By substituting the dimensions of each quantity in both the sides,

By equating the power of M, L, T in both the sides:

By soling the above equation ,

We get,

So,

In above Manner, solve for Length And Time.

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