Assertion: Microwave communication is preferred over optical communication.
Reason: Information carrying capacity is directly proportional to bandwidth.

Options

A. Both A and R are correct and R is correct explaination of A
B. A is true but R is wrong
C. A is wrong but R is true
D. Both A and R are wrong

Explanation

To solve the question, we need to analyze both the assertion and the reason provided.

### Step 1: Understand the Assertion
The assertion states that "Microwave communication is preferred over optical communication."
- Microwave communication is indeed widely used for various applications, including satellite communication and mobile networks, due to its ability to cover long distances and penetrate through atmospheric conditions better than optical communication.

### Step 2: Understand the Reason
The reason states that "Information carrying capacity is directly proportional to bandwidth."
- This statement is true. According to the Shannon-Hartley theorem, the capacity of a communication channel is directly proportional to its bandwidth. This means that a higher bandwidth allows for more information to be transmitted over the channel.

### Step 3: Connect the Assertion and Reason
Now, we need to determine if the reason supports the assertion.
- Since microwave communication typically has a larger bandwidth compared to optical communication in many scenarios, it can carry more information. Therefore, the reason does support the assertion.

### Step 4: Conclusion
Both the assertion and reason are correct, and the reason provides a valid explanation for the assertion. Thus, the correct answer is that both A (assertion) and R (reason) are correct, and R is the correct explanation of A.

### Final Answer
Both A and R are correct, and R is the correct explanation of A.

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