---
title: "A linear spring of force constant \\( k \\) is used in a physics lab experiment. A block of mass \\( m \\) is attached to the spring and the resulting frequency, \\( f \\), of the simple harmonic oscillations is measured. Blocks of various masses are used in different trials, and in each case, the corresponding frequency is measured and recorded. If \\( f^{2} \\) is plotted versus \\( \\frac{1}{m} \\), the graph will be a straight line with slope"
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url: "https://nerd-notes.com/ubq/88183/"
date_modified: "2025-04-17T06:08:12+00:00"
---

# A linear spring of force constant \( k \) is used in a physics lab experiment. A block of mass \( m \) is attached to the spring and the resulting frequency, \( f \), of the simple harmonic oscillations is measured. Blocks of various masses are used in different trials, and in each case, the corresponding frequency is measured and recorded. If \( f^{2} \) is plotted versus \( \frac{1}{m} \), the graph will be a straight line with slope

A linear spring of force constant \( k \) is used in a physics lab experiment. A block of mass \( m \) is attached to the spring and the resulting frequency, \( f \), of the simple harmonic oscillations is measured. Blocks of various masses are used in different trials, and in each case, the corresponding frequency is measured and recorded. If \( f^{2} \) is plotted versus \( \frac{1}{m} \), the graph will be a straight line with slope

- **A.** \[ \dfrac{4\pi^{2}}{k^{2}} \]
- **B.** \[ \dfrac{4\pi^{2}}{k} \]
- **C.** \[ 4\pi^{2} k \]
- **D.** \[ \dfrac{k}{4\pi^{2}} \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/88183/*