Assertion : Beats can be formed when the diffference in freqencies of two sources is greater than 10.
Reason : Time interval between two beats should be less than 1/10 seconds to hear distinct beats.

Options

A. If both assertion and reason are correct and reason is a correct explanation of the assertion.
B. If both assertion and reason are correct but reason is not the correct explanation of assertion.
C. If assertion is correct but reason is incorrect
D. If both assertion and reason are incorrect

Answer

To analyze the given assertion and reason, let's break it down step by step.

### Step 1: Understanding the Assertion
The assertion states that "Beats can be formed when the difference in frequencies of two sources is greater than 10 Hz."

**Analysis**:
- Beats are produced when two sound waves of slightly different frequencies interfere with each other.
- The beat frequency is given by the absolute difference between the two frequencies: \( f_{beat} = |f_1 - f_2| \).
- Beats can indeed be formed with a frequency difference greater than 10 Hz, but they can also occur with a difference less than 10 Hz. Therefore, the assertion is correct because it states that beats "can" be formed, not that they "will always" be formed only when the difference is greater than 10 Hz.

### Step 2: Understanding the Reason
The reason states that "The time interval between two beats should be less than 1/10 seconds to hear distinct beats."

**Analysis**:
- The ability to hear distinct beats is related to the persistence of hearing. The human ear can distinguish sounds that are separated by a time interval of about 0.1 seconds (1/10 seconds).
- If the time interval between beats is greater than 1/10 seconds, the beats may not be perceived as distinct sounds. Instead, they may blend into a continuous sound.
- Therefore, the statement that the time interval should be less than 1/10 seconds to hear distinct beats is incorrect. The correct interpretation is that the time interval should be equal to or less than 1/10 seconds.

### Conclusion
- The assertion is correct: Beats can be formed when the difference in frequencies is greater than 10 Hz.
- The reason is incorrect: The time interval between beats should be less than or equal to 1/10 seconds to hear distinct beats.

### Final Answer
Since the assertion is correct and the reason is incorrect, the answer is option 3.

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