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

Explanation

To express mass, length, and time in terms of the fundamental quantities: the velocity of light (c), Planck's constant (h), and the gravitational constant (G), we will use dimensional analysis. Here’s a step-by-step solution:

### Step 1: Identify Dimensions of Fundamental Quantities
1. **Velocity of Light (c)**:
- Dimension: \( [c] = LT^{-1} \)

2. **Planck's Constant (h)**:
- From the relation \( E = h \nu \), where \( E \) is energy and \( \nu \) is frequency:
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