If 'p' calorie of heat energy is incident on a body and absorbs 'q' calories of heat absorbed then its coefficient of absorption is .

Options

A. `p//q`
B. `q//p`
C. `p^(2)//q^(2)`
D. `q^(2)//p^(2)`

Answer

To find the coefficient of absorption when 'p' calories of heat energy is incident on a body and 'q' calories of heat are absorbed, we can follow these steps:

### Step 1: Understand the Definition
The coefficient of absorption (denoted as \( A \)) is defined as the ratio of the heat absorbed by the body to the heat incident on the body.

### Step 2: Write the Formula
The formula for the coefficient of absorption can be expressed as:
\[ A = \frac{Q}{P} \]
where:
- \( Q \) is the heat absorbed (in calories),
- \( P \) is the incident heat energy (in calories).

### Step 3: Substitute the Given Values
From the problem, we know:
- \( Q = q \) (calories absorbed),
- \( P = p \) (calories incident).

Substituting these values into the formula gives us:
\[ A = \frac{q}{p} \]

### Step 4: Analyze the Coefficient of Absorption
The coefficient of absorption \( A \) is a dimensionless quantity because it is a ratio of two energies. Its value will always be less than or equal to 1, as the heat absorbed cannot exceed the heat incident on the body.

### Step 5: Conclusion
Thus, the coefficient of absorption is given by:
\[ A = \frac{q}{p} \]

### Final Answer
The coefficient of absorption is \( \frac{q}{p} \).

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