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In determination of the value of acceleration due to gravity, the time for 100 oscillations of a pendulum is measured as 90s using a watch of 1s resolution. The percentage error in its period is?
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In determination of the value of acceleration due to gravity, the time...
Calculation of Percentage Error in Period of Pendulum
In order to calculate the percentage error in the period of the pendulum, we need to consider the given data and the resolution of the measuring device used.
Given Data:
- Time for 100 oscillations of the pendulum: 90s
- Resolution of the watch: 1s
Calculating the Period of the Pendulum:
The period of the pendulum can be calculated using the formula:
\[ T = \frac{T_{total}}{N} \]
where:
- \( T \) is the period of the pendulum
- \( T_{total} \) is the total time taken for 100 oscillations (90s)
- \( N \) is the number of oscillations (100)
Substitute the given values:
\[ T = \frac{90s}{100} = 0.9s \]
Calculating the Percentage Error in Period:
The percentage error in the period can be calculated using the formula:
\[ \text{Percentage Error} = \left| \frac{\text{Experimental Value} - \text{True Value}}{\text{True Value}} \right| \times 100\% \]
Given that the resolution of the watch is 1s, the experimental value of the period is \( 0.9s \). The true value is the theoretical value of the period.
Therefore, the percentage error in the period of the pendulum can be calculated by substituting the values into the formula.
In order to calculate the percentage error in the period of the pendulum, we need to consider the given data and the resolution of the measuring device used.
Given Data:
- Time for 100 oscillations of the pendulum: 90s
- Resolution of the watch: 1s
Calculating the Period of the Pendulum:
The period of the pendulum can be calculated using the formula:
\[ T = \frac{T_{total}}{N} \]
where:
- \( T \) is the period of the pendulum
- \( T_{total} \) is the total time taken for 100 oscillations (90s)
- \( N \) is the number of oscillations (100)
Substitute the given values:
\[ T = \frac{90s}{100} = 0.9s \]
Calculating the Percentage Error in Period:
The percentage error in the period can be calculated using the formula:
\[ \text{Percentage Error} = \left| \frac{\text{Experimental Value} - \text{True Value}}{\text{True Value}} \right| \times 100\% \]
Given that the resolution of the watch is 1s, the experimental value of the period is \( 0.9s \). The true value is the theoretical value of the period.
Therefore, the percentage error in the period of the pendulum can be calculated by substituting the values into the formula.
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In determination of the value of acceleration due to gravity, the time for 100 oscillations of a pendulum is measured as 90s using a watch of 1s resolution. The percentage error in its period is?
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In determination of the value of acceleration due to gravity, the time for 100 oscillations of a pendulum is measured as 90s using a watch of 1s resolution. The percentage error in its period is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In determination of the value of acceleration due to gravity, the time for 100 oscillations of a pendulum is measured as 90s using a watch of 1s resolution. The percentage error in its period is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In determination of the value of acceleration due to gravity, the time for 100 oscillations of a pendulum is measured as 90s using a watch of 1s resolution. The percentage error in its period is?.
In determination of the value of acceleration due to gravity, the time for 100 oscillations of a pendulum is measured as 90s using a watch of 1s resolution. The percentage error in its period is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In determination of the value of acceleration due to gravity, the time for 100 oscillations of a pendulum is measured as 90s using a watch of 1s resolution. The percentage error in its period is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In determination of the value of acceleration due to gravity, the time for 100 oscillations of a pendulum is measured as 90s using a watch of 1s resolution. The percentage error in its period is?.
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