The note produced by a stretched string has a fundamental frequency of 400Hz. If the length of the string is doubled while the tension in the string is incr...

Assessment: JAMB UTME - Physics - 1994 Subject: Physics

Question 1 Report

The note produced by a stretched string has a fundamental frequency of 400Hz. If the length of the string is doubled while the tension in the string is increased by a factor of 4, the frequency is

200Hz

400Hz

800Hz

1600Hz

Answer Details

F =

\frac{1}{2 L}

\sqrt{\frac{T}{m}}

T2 = 4T1 ; L2 = 2L1

$\frac{2 F_{1} L_{1}}{2 F_{2} L_{2}}$ = $\sqrt{\frac{T_{1}}{T_{2}}}$

$\frac{400 \times L_{1}}{F \times L_{1}}$ = $\sqrt{\frac{T_{1}}{4 T_{1}}}$

F = 400Hz

Read lesson note on Elasticity (JAMB)

Elasticity

View Answer

Related Questions

Download The App On Google Playstore

Everything you need to excel in your exams

Personalized AI Learning Chat Assistant

200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO

Over 3,900 Lesson Notes

Offline Support - Learn Anytime, Anywhere

Green Bridge Timetable

Literature Summaries & Potential Questions

Track Your Performance & Progress

In-depth Explanations for Comprehensive Learning