If the velocity of light `(c )` , gravitational constant `(G)` , and Planck's constant `(h)` are chosen as fundamental units , then find the dimensions of mass in new system.
Text Solution
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To find the dimensions of mass in a new system where the velocity of light `(c)`, gravitational constant `(G)`, and Planck's constant `(h)` are chosen as fundamental units, we can follow these steps:
### Step 1: Write down the dimensions of the constants
1. **Velocity of light (c)**: The dimension of velocity is given by:
\[
[c] = [L][T]^{-1}
\]
where \(L\) is length and \(T\) is time.
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