If the velocity of light , universal gravitational constant and planck's constant are chosen as fundamental quantities. The dimensions of mass in the new system is:

Question

If the velocity of light , universal gravitational constant  and planck's constant  are chosen as fundamental quantities. The dimensions of mass in the new system is:

Canvas Classes · Accepted Answer

🧠 Build the Planck Mass:

The new fundamentals are , , . The dimension of mass in this base is the Planck mass:

That matches option (d).

The first move: recognise the Planck mass formula. If you don't, set up  and solve.

🗺️ Working It Out

Assume . Expand in :
- 
- 
-

Match with  (so ):

: .

Subtract the  equation from the  equation: .

Substitute into  equation: .

Then .

From the  equation: .

So , , .

That matches option (d).

⚡ The Smart Move

The Planck units ar

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