Flag Engineering Entrance Exams> A wire under tension vibrates with a freq...
question mark

A wire under tension vibrates with a frequency of 450 cycles per sound. What would be the fundamental frequency if the wire were half as long, twice as thick and under one fourth tension (a) 225 cps (b) 190 cps (c) 247 cps (d) 174 cps

Shwetabh , 12 Years ago
Grade 12
anser 2 Answers
Saurabh Koranglekar
576-2161_a.PNG
Last Activity: 5 Years ago
Vikas TU
As per the question,
Given data:
A wire under tension vibrates with a frequency = 450 hertz
According to the speed of the string, we have
v = sqrt[(T-l)/m]
Let V₁ = 450 Hz
Now,
The wire were half as long twice as thick and under one-fourth tention:
New length = l/4
m = 2m
V1 = sqrt[(T-l)/m]

And
V2 = sqrt[(T-l)/2m-4]

Divide V₂ by V₁, we get

∴ v₂ = 159.12 Hz
Hence, the fundamental frequency = 159.12 Hz
Last Activity: 5 Years ago
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments



question mark
Hello,
 
Can we learn and prepare for MHT-CET online ?
engineering entrance exams
1 Answer Available

Last Activity: 4 Years ago