Solution
Steps 1 & 2: Understand Question and Draw InferencesWe are given:
• P is a particle on the circle, as shown in the given diagram.
We need to find the length of the path travelled by P in one complete revolution around the circle.
• In one complete revolution, P will cover the entire length of the circle.
o For any circle, its entire length is equal to the perimeter of the circle which is equal to 2πr.
• Thus, we need to find r to find the length of the path travelled by P in one complete revolution around the circle.
With this understanding, let us analyse the statements.
Step 3: Analyse Statement 1“The diameter of the circle is 1.5 meters.”
Hence, we can find the radius from this statement.
Thus, statement 1 is sufficient to answer the question.
Step 4: Analyse Statement 2“The particle P moves in a clockwise direction at 0.5 meter per second.”
We know that Distance covered = time × speed
• Here, Speed = 0.5 m/s.
• However, we do not know in how much time P can complete one revolution of the circle.
Hence, we cannot find the length of path travelled by P in one complete revolution around the circle.
Thus, statement 2 is not sufficient to answer the question.
Step 5: Combine Both Statements Together (If Needed)Since we could determine the answer from statement 1 individually, this step is not required.
Hence, the correct answer is option A.