The mean time period of seconds pendulum is 2 second and mean absolute...
**Solution:**
The time period of a simple pendulum is the time taken for one complete oscillation, which is the time taken for the pendulum to swing back and forth from one extreme point to the other.
Given:
Mean time period of the seconds pendulum = 2 seconds
Mean absolute error in time period = 0.05 seconds
To calculate the percentage error, we need to find the ratio of the mean absolute error to the mean time period and then multiply by 100.
**Step 1: Calculate the ratio of mean absolute error to mean time period:**
Ratio = Mean absolute error / Mean time period
Ratio = 0.05 / 2
Ratio = 0.025
**Step 2: Calculate the percentage error:**
Percentage Error = Ratio * 100
Percentage Error = 0.025 * 100
Percentage Error = 2.5%
Therefore, the percentage error in the time period of the seconds pendulum is 2.5%.
**Explanation:**
The mean time period of a seconds pendulum is the time taken for one complete oscillation. In this case, the mean time period is given as 2 seconds.
The mean absolute error in time period is the average deviation of the measured time periods from the mean time period. In this case, the mean absolute error is given as 0.05 seconds.
To calculate the percentage error, we need to find the ratio of the mean absolute error to the mean time period. This ratio represents the relative error compared to the mean time period.
Finally, we multiply the ratio by 100 to convert it into a percentage.
In this case, the ratio is calculated to be 0.025, which means the mean absolute error is 2.5% of the mean time period.
This percentage error indicates the accuracy of the measurement. A lower percentage error indicates a higher level of accuracy.
The mean time period of seconds pendulum is 2 second and mean absolute...
I think it's 0.05/2 *100=2.5%
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.