Assertion if two physical quantities have same dimension, then they can be certainly added or subtracted because
Reason if the dimension of both the quantities are same then both the physical quantities should be similar .

Options

A. If both Assertion and Reson are true and the Resion is correct explanation of the Assertion
B. If both Assertion and Reason are true but the correct explenation ofAssertion.
C. If Assertion is true , but the Reason is false .
D. If both Assertion and Reason are wrong.

Answer

To solve the question, we need to analyze both the assertion and the reason given:

### Step 1: Understand the Assertion
The assertion states that "if two physical quantities have the same dimension, then they can be certainly added or subtracted."

- **Explanation**: In physics, for two quantities to be added or subtracted, they must represent the same physical concept. If they have the same dimension, it indicates that they are of the same type (e.g., both lengths, both areas, etc.), which allows for addition or subtraction.

### Step 2: Understand the Reason
The reason states that "if the dimension of both the quantities are the same, then both the physical quantities should be similar."

- **Explanation**: This statement suggests that having the same dimension implies that the quantities are similar in nature. However, this is not entirely accurate. While having the same dimension is necessary for addition or subtraction, it does not guarantee that the quantities are similar in context. For example, you can have two lengths (e.g., 5 cm and 10 cm) that can be added, but they are not similar in terms of what they represent (one could be the length of a rod and the other the length of a wire).

### Step 3: Evaluate the Truth of Assertion and Reason
- The assertion is **true** because quantities with the same dimension can indeed be added or subtracted.
- The reason is **false** because having the same dimension does not necessarily mean that the quantities are similar in context.

### Conclusion
Based on the analysis:
- The assertion is true.
- The reason is false.

Thus, the correct answer is that the assertion is true, but the reason is false.