Which of the following statement is correct?

Options

A. Every periodic motion Is oscillatory
B. Every oscillatory motion Is periodic
C. Both (1) and (2) are correct
D. Both (1) and (2) are Incorrect

Answer

To solve the question, we need to analyze the given statements about periodic and oscillatory motions.

### Step-by-Step Solution:

1. **Understanding Periodic Motion**:
- Periodic motion is defined as motion that repeats itself at regular intervals of time. Examples include the motion of planets around the sun or a swinging pendulum.

2. **Understanding Oscillatory Motion**:
- Oscillatory motion is a type of periodic motion where an object moves back and forth around a central point (mean position). Examples include a swinging pendulum or a mass on a spring.

3. **Analyzing Statement 1**: "Every periodic motion is oscillatory."
- This statement is incorrect. While all oscillatory motions are periodic, not all periodic motions are oscillatory. For example, the motion of the Earth around the Sun is periodic but not oscillatory.

4. **Analyzing Statement 2**: "Every oscillatory motion is periodic."
- This statement is correct. Oscillatory motion, by definition, is a repetitive motion around a mean position, which makes it periodic.

5. **Analyzing Statement 3**: "Both 1 and 2 are correct."
- Since Statement 1 is incorrect, this statement is also incorrect.

6. **Analyzing Statement 4**: "Both 1 and 2 are incorrect."
- Since Statement 2 is correct, this statement is also incorrect.

7. **Conclusion**:
- The only correct statement is Statement 2: "Every oscillatory motion is periodic."

### Final Answer:
The correct answer is **Option 2**: "Every oscillatory motion is periodic."

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