viewquestions/601/Give brief description and uses of the following i Steel band ii Line ranger D ec13Jan14

The Eduladder is a community of students, teachers, and programmers just interested to make you pass any exams. So we solve previous year question papers for you.
See Our team
Wondering how we keep quality?
Got unsolved questions?

physics-2013-->View question

## A sonometer wire of length 1.5 m is made of steel. The tension in it produce an elastic strain of 1%. What is the fundamental frequency of steel if density and elasticity of steel are 7.7 × 103 kg / m3 and 2.2 × 1011 N/m2 respectively ? - physics 2013

(1) 188.5 Hz
(2) 178.2 Hz
(3) 200.5 Hz
(4) 770 Hz

By:milan-ransingh

Taged users:

Likes:
Be first to like this question

Dislikes:
Be first to dislike this question

Transverse waves on a Sonometer wire/bridge . Young's modulus Y = Stress / Strain = 2.2 * 10^11 N/m²    Stress = Tension / Cross section area = T / A    Strain = 1 % = 0.01    2.2 * 10^11 =  (T / A ) / 0.01 =  T / (0.01 A)       T = 2.2 * 10^9 * A    Newtons   L = 1.5 meter     Volume density d =  7.7 * 10³  kg/m³     Linear density μ = volume density * Area = d * A = 7.7 * 10³ * A  kg /meter   velocity of transverse wave on the Sonometer wire = √(T/μ)          v   = √(2.2*10^9 / 7.7*10³)  m/sec             = 534.52 m/sec   Fundamental note has a wavelength = λ = 2 * L = 3 meters.  As the given wire vibrates with one loop.  Nodes at both ends and anti-node at the center.  So half of the wavelength is equal to the length of the wire.
So frequency = v / λ = 178.17 Hz
(2) 178.2 Hz

satyashiromani

Likes:
Be first to like this answer

Dislikes:
Be first to dislike this answer