Planck's constant (h), gravitational constant (G) and the speed of light (c ) are taken as the fundamental quantities in a system. Find the dimensions of length and time in this system.

Explanation

To find the dimensions of length (L) and time (T) in a system where Planck's constant (h), gravitational constant (G), and the speed of light (c) are taken as fundamental quantities, we will use dimensional analysis.

### Step-by-Step Solution:

1. **Identify the Dimensions of Given Constants**:
- Planck's constant (h): \( [h] = M L^2 T^{-1} \)
- Gravitational constant (G): \( [G] = M^{-1} L^3 T^{-2} \)
- Speed of light (c): \( [c] = L T^{-1} \)
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