Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 10 - Simple Harmonic Motion and Elasticity - Check Your Understanding - Page 265: 12

Answer

$\text{Clock based on Simple pendulum will become more inaccurate }$ $\text{when carried to the top of a high mountain.}$

Work Step by Step

$\text{Time period of a simple pendulum is given by:}$ $$T = 2\pi \sqrt{\frac{L}{g}}$$ $\text{Time period of a particle performing SHM on a spring is given by:}$ $$T = 2\pi \sqrt{\frac{m}{k}}$$ $\text{Where all terms have their usual meaning}$ $\text{m, k and L depend on the material used and not on the height}$ $\text{at which SHM occurs.}$ $\text{But g depends on height and as we move away from earth g decreases.}$ $\text{Therefore,Clock based on Simple pendulum will become more }$ $\text{inaccurate as we go above the ground.}$
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