Dimensional formula of `DeltaQ`, heat supplied to the system is:

Options

A. `[ML^(2)T^(-2)]`
B. `[MLT^(-2)]`
C. `[ML^(2)T^(-1)]`
D. `[MLT^(1)]`

Explanation

To find the dimensional formula of \( \Delta Q \) (heat supplied to the system), we can follow these steps:

### Step 1: Understand the Concept of Heat
Heat is a form of energy. In physics, energy can be expressed in terms of work done. Thus, we can relate heat to energy.

### Step 2: Identify the Dimensional Formula of Energy
The dimensional formula for energy (or work done) is derived from the formula for kinetic energy or work done, which is given by:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
The dimensional formula for force is:
\[ \text{Force} = \text{mass} \times \text{acceleration} = [M][L][T^{-2}] \]
where:
- \( [M] \) is the dimension of mass,
- \( [L] \) is the dimension of length,
- \( [T] \) is the dimension of time.

### Step 3: Combine the Dimensions
Now, substituting the dimensional formula of force into the work formula:
\[ \text{Work} = [M][L][T^{-2}] \times [L] = [M][L^2][T^{-2}] \]
Thus, the dimensional formula for energy is:
\[ [E] = [M][L^2][T^{-2}] \]

### Step 4: Conclude the Dimensional Formula for Heat
Since heat is a form of energy, the dimensional formula for heat \( \Delta Q \) is the same as that for energy:
\[ \Delta Q = [M][L^2][T^{-2}] \]

### Step 5: Match with Options
If the options provided in the question include \( [M][L^2][T^{-2}] \), we can confirm that this is the correct answer.

### Final Answer
The dimensional formula of \( \Delta Q \) (heat supplied to the system) is:
\[ [M][L^2][T^{-2}] \]

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