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What is the percentage error in the measurement of time period of a pendulum if maximum error in the measurement of ℓ and g are 2% and 4% respectively?
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What is the percentage error in the measurement of time period of a pe...
Percentage Error in the Measurement of Time Period of a Pendulum
Given:
- Maximum error in the measurement of length (ℓ) = 2%
- Maximum error in the measurement of acceleration due to gravity (g) = 4%
Formula for Time Period of a Pendulum:
T = 2π√(ℓ/g)
Percentage Error Formula:
Percentage error in T = (Percentage error in ℓ) + (Percentage error in g)
Calculating the Percentage Errors:
- Percentage error in ℓ = 2%
- Percentage error in g = 4%
Substitute the values into the Percentage Error Formula:
Percentage error in T = 2% + 4%
Percentage error in T = 6%
Therefore, the percentage error in the measurement of the time period of a pendulum is 6%. This means that the measurement of the time period of the pendulum may have an error of up to 6% due to the combined errors in the measurements of the length (ℓ) and acceleration due to gravity (g).
Given:
- Maximum error in the measurement of length (ℓ) = 2%
- Maximum error in the measurement of acceleration due to gravity (g) = 4%
Formula for Time Period of a Pendulum:
T = 2π√(ℓ/g)
Percentage Error Formula:
Percentage error in T = (Percentage error in ℓ) + (Percentage error in g)
Calculating the Percentage Errors:
- Percentage error in ℓ = 2%
- Percentage error in g = 4%
Substitute the values into the Percentage Error Formula:
Percentage error in T = 2% + 4%
Percentage error in T = 6%
Therefore, the percentage error in the measurement of the time period of a pendulum is 6%. This means that the measurement of the time period of the pendulum may have an error of up to 6% due to the combined errors in the measurements of the length (ℓ) and acceleration due to gravity (g).
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What is the percentage error in the measurement of time period of a pendulum if maximum error in the measurement of ℓ and g are 2% and 4% respectively?
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What is the percentage error in the measurement of time period of a pendulum if maximum error in the measurement of ℓ and g are 2% and 4% respectively? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about What is the percentage error in the measurement of time period of a pendulum if maximum error in the measurement of ℓ and g are 2% and 4% respectively? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the percentage error in the measurement of time period of a pendulum if maximum error in the measurement of ℓ and g are 2% and 4% respectively?.
What is the percentage error in the measurement of time period of a pendulum if maximum error in the measurement of ℓ and g are 2% and 4% respectively? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about What is the percentage error in the measurement of time period of a pendulum if maximum error in the measurement of ℓ and g are 2% and 4% respectively? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the percentage error in the measurement of time period of a pendulum if maximum error in the measurement of ℓ and g are 2% and 4% respectively?.
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