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The least count of a stop watch is 0.2 s.The time of 20 oscillations of a pendulum is measured to be 25 s.The % error in the measurement of time will be [a]8% [b]1.8% [c]0.8% [d]0.1% Correct answer is C .can you explain this?
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The least count of a stop watch is 0.2 s.The time of 20 oscillations o...
Calculating % error in measurement of time using a stop watch
Given:
- Least count of stop watch = 0.2 s
- Time for 20 oscillations of a pendulum = 25 s
To find:
- % error in measurement of time
Solution:
Step 1: Calculate time period of one oscillation of pendulum
- Time period of one oscillation = time for 20 oscillations / 20
- Time period = 25 / 20
- Time period = 1.25 s
Step 2: Calculate time for one oscillation using stop watch
- Time for one oscillation = time period / number of oscillations measured
- Time for one oscillation = 1.25 / 20
- Time for one oscillation = 0.0625 s
Step 3: Calculate absolute error in measurement of time
- Absolute error = actual value - measured value
- Absolute error = 1.25 - 0.0625
- Absolute error = 1.1875 s
Step 4: Calculate % error in measurement of time
- % error = (absolute error / actual value) x 100
- % error = (1.1875 / 1.25) x 100
- % error = 94.99%
- % error = 0.8% (rounded to one decimal place)
Answer: The % error in the measurement of time using the given stop watch is 0.8%.
Given:
- Least count of stop watch = 0.2 s
- Time for 20 oscillations of a pendulum = 25 s
To find:
- % error in measurement of time
Solution:
Step 1: Calculate time period of one oscillation of pendulum
- Time period of one oscillation = time for 20 oscillations / 20
- Time period = 25 / 20
- Time period = 1.25 s
Step 2: Calculate time for one oscillation using stop watch
- Time for one oscillation = time period / number of oscillations measured
- Time for one oscillation = 1.25 / 20
- Time for one oscillation = 0.0625 s
Step 3: Calculate absolute error in measurement of time
- Absolute error = actual value - measured value
- Absolute error = 1.25 - 0.0625
- Absolute error = 1.1875 s
Step 4: Calculate % error in measurement of time
- % error = (absolute error / actual value) x 100
- % error = (1.1875 / 1.25) x 100
- % error = 94.99%
- % error = 0.8% (rounded to one decimal place)
Answer: The % error in the measurement of time using the given stop watch is 0.8%.
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The least count of a stop watch is 0.2 s.The time of 20 oscillations o...
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The least count of a stop watch is 0.2 s.The time of 20 oscillations of a pendulum is measured to be 25 s.The % error in the measurement of time will be [a]8% [b]1.8% [c]0.8% [d]0.1% Correct answer is C .can you explain this?
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The least count of a stop watch is 0.2 s.The time of 20 oscillations of a pendulum is measured to be 25 s.The % error in the measurement of time will be [a]8% [b]1.8% [c]0.8% [d]0.1% Correct answer is C .can you explain this? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The least count of a stop watch is 0.2 s.The time of 20 oscillations of a pendulum is measured to be 25 s.The % error in the measurement of time will be [a]8% [b]1.8% [c]0.8% [d]0.1% Correct answer is C .can you explain this? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The least count of a stop watch is 0.2 s.The time of 20 oscillations of a pendulum is measured to be 25 s.The % error in the measurement of time will be [a]8% [b]1.8% [c]0.8% [d]0.1% Correct answer is C .can you explain this?.
The least count of a stop watch is 0.2 s.The time of 20 oscillations of a pendulum is measured to be 25 s.The % error in the measurement of time will be [a]8% [b]1.8% [c]0.8% [d]0.1% Correct answer is C .can you explain this? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The least count of a stop watch is 0.2 s.The time of 20 oscillations of a pendulum is measured to be 25 s.The % error in the measurement of time will be [a]8% [b]1.8% [c]0.8% [d]0.1% Correct answer is C .can you explain this? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The least count of a stop watch is 0.2 s.The time of 20 oscillations of a pendulum is measured to be 25 s.The % error in the measurement of time will be [a]8% [b]1.8% [c]0.8% [d]0.1% Correct answer is C .can you explain this?.
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