The dimensional formula of Planck’s Constant is

**[ M**^{1}** L**^{2}** T**^{-1}** ]**

where **[M]**, **[L],** and **[T]** are the fundamental quantities: **Mass**, **Length**, and **Time**.

From the above formula, the **dimensions of Planck’s constant are (1, 2, -1)**.

## How to calculate the dimensional formula of Planck’s constant?

We can define this formula using the mathematical formula of Plack’s constant. Mathematically,

```
Planck's constant (h) = Energy / Frequency
```

We know that,

```
Energy = Work Done
= Force * displacement
= mass * acceleration * displacement
```

Also,

- acceleration = speed / time
- speed = distance / time
- acceleration = distance / time
^{2} - acceleration = distance * time
^{-2}

So, **Energy = (mass * distance * displacement * time ^{-2})**

And the formula of frequency is **1 / time = time ^{-1}**. Hence, the formula of Planck’s constant becomes

```
Planck's constant = (mass * distance * displacement * time
```^{-2}) / time^{-1}
= ( mass * distance * displacement * time^{-1} )

Dimensionally, we use

Dimensionally, we use

**[M]**for mass**[L]**to represent both distance and displacement- and,
**[T]**for time

Now, the formula becomes

```
Planck's constant = [M
```^{1}] * [L^{2}] * [T^{-1}]

Hence, the **dimensional equation of Planck’s constant is h = [ M**^{1}** L**^{2}** T**^{-1}** ]**.

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