Neco 2019 Physics Question 1

Practice essay / theory question 1 from the 2019 Neco Physics examination. This question covers Measurements and Units, Error Analysis, Simple Harmonic Motion .

Neco 2019 Physics Essay / Theory
Topics: Measurements and Units Error Analysis Simple Harmonic Motion
Question 1 NECO • 2019 • PHYSICS • essay

A simple pendulum is set up as shown in the illustration. The length of the string from the point of suspension to the centre of the bob is measured with a metre rule and recorded as \(L = 1.00\,\text{m}\) with an absolute uncertainty of \(\pm0.005\,\text{m}\). Using a stopwatch, the time for 20 complete oscillations is measured as \(t_{20}=40.2\,\text{s}\) with an absolute uncertainty of \(\pm0.2\,\text{s}\). The acceleration due to gravity is to be determined from these measurements. Answer the following:

Question Parts

( a )
Calculate the period \(T\) of the pendulum.
( b )
Using the relation \(T = 2\pi\sqrt{\frac{L}{g}}\), determine the value of \(g\). Show all steps.
( c )
Estimate the percentage uncertainty in the calculated value of \(g\) by propagating the uncertainties in \(L\) and \(T\). State the final result for \(g\) with its absolute uncertainty.
( d )
Suggest two practical measures that could be adopted to reduce the overall uncertainty in the determination of \(g\).

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About This Question

This is Neco 2019 Physics Question 1. It is one of the essay questions from the 2019 Neco Physics examination.

The question covers Measurements and Units, Error Analysis, Simple Harmonic Motion .

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