Neco 2017 Physics Question 27

Practice objective / multiple choice question 27 from the 2017 Neco Physics examination.

Neco 2017 Physics Objective / Multiple Choice Hard Difficulty
Question 27 NECO • 2017 • PHYSICS • objective

A student measures the period of a simple pendulum using a stopwatch. Ten successive measurements (in seconds) are: 1.02, 1.05, 0.98, 1.01, 1.04, 1.00, 1.03, 0.99, 1.06, 1.02. The length of the pendulum is measured with a meter rule as \(0.500\ \text{m}\) with an uncertainty of \(\pm0.001\ \text{m}\). (a) Find the mean period and its standard deviation. (b) Using \(T = 2\pi\sqrt{L/g}\), calculate the acceleration due to gravity \(g\) and its uncertainty by propagation of errors. (c) Identify the dominant source of error and suggest one practical precaution to reduce it.

Answer Options

A. Mean period = 1.030 s, σ = 0.025 s; g = 20.0 ± 0.7 m·s⁻²; dominant error = air resistance; precaution = perform experiment in vacuum.
Correct Answer B. Mean period = 1.020 s, σ = 0.0245 s; g = 19.0 ± 0.9 m·s⁻²; dominant error = period measurement; precaution = use electronic timing (photogate).
C. Mean period = 1.025 s, σ = 0.022 s; g = 19.5 ± 0.8 m·s⁻²; dominant error = stopwatch reaction time; precaution = increase number of trials.
D. Mean period = 1.015 s, σ = 0.030 s; g = 18.5 ± 1.1 m·s⁻²; dominant error = length measurement; precaution = calibrate meter rule.
Correct Answer
B
Correct Option:
Mean period = 1.020 s, σ = 0.0245 s; g = 19.0 ± 0.9 m·s⁻²; dominant error = period measurement; precaution = use electronic timing (photogate).

About This Question

This is Neco 2017 Physics Question 27. It is one of the objective questions from the 2017 Neco Physics examination.

Difficulty level: Hard .

View More Neco 2017 Physics Questions More Neco Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support