Quantum Physics

Step 1: First, recall the dimensional formulas for each of the physical quantities:

• (Planck’s constant) has the dimension .
• (mass of the electron) has the dimension .
• (velocity of light) has the dimension .

Step 2: Now, calculate the dimensions of each given option.

For option :

which does not correspond to the dimension of length.

For option :

which corresponds to the dimension of time, not length.

For option :

which corresponds to the dimension of area, not length.

For option :

which corresponds to the dimension of length.