Statement-I:In the measurement of g using simple pendulum generally we take central position (mean position of the oscillation as reference position for measuring time of oscillation.
Statement-II: This reduces the human error in measurement of time.

Options

A. Statement-1 is true and statement -2 is true
B. Statement -1 is true and statement-2 is false
C. Statement-1 is false and statement -2 is true
D. Statement-1 is false and statement -2 is false

Answer

To analyze the statements provided in the question, we will break down the reasoning step by step.

### Step 1: Understanding Statement-I
**Statement-I** states that in the measurement of the acceleration due to gravity (g) using a simple pendulum, we take the central position (mean position) of the oscillation as the reference position for measuring the time of oscillation.

**Explanation**:
When conducting an experiment with a simple pendulum, the mean position is where the pendulum bob passes through when it is at rest. This is the point where the gravitational force and the tension in the string are balanced, and it is the point of maximum speed for the pendulum.

### Step 2: Understanding Statement-II
**Statement-II** claims that taking the mean position reduces human error in the measurement of time.

**Explanation**:
Starting the stopwatch when the pendulum bob is at the mean position minimizes the chances of human error. If the stopwatch is started when the bob is at one of the extreme positions, it can be difficult to accurately observe the exact moment to start the timing due to the bob's motion. This can lead to delays or premature starts in timing, which introduces errors. By starting the stopwatch at the mean position, the timing is more straightforward and less prone to error.

### Step 3: Conclusion
Both statements are correct. The first statement accurately describes the procedure used in the experiment, and the second statement explains the rationale behind this choice, highlighting the reduction of human error.

### Final Answer
Both Statement-I and Statement-II are correct.

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