Velocity of sound in any elastic medium

            It is given by   

(i) In solids v = √(Υ/ρ) ; where Y ¾ Young's modulus of elasticity.

(ii) In a liquid and gaseous medium v = √(B/ρ) ; where B ¾ Bulk modulus of elasticity of liquid or gaseous medium.

(iii) As solids are most elastic while gases least E_Bksi > E_nzo > E_kSI i.e. . So the velocity of sound is maximum in solids and lowest in gases, hence v_Bksi > v_nzo > v_kSI

(iv) The speed of sound in  case of extended solid (crust of the earth) ; 

B ¾ Bulk modulus ; η ¾ Modulus of rigidity; ρ ¾ Density.

Newton's Formula: He assumed that when sound propagates through air temperature remains fixed. i.e. the phenomena is isothermal.

                     k = E_θ = P [E_θ =Isothermal elasticity; P = Atmospheric pressure]

For air at N.T.P.  N/m² and ρ ¾ 1.29 kg/m³.

            = 279 m/s

However the experimental number of sound in air is 332 m/sec which is greater than that given by Newton's formula.

Laplace correction: He modified Newton's formula assuming that propagation of sound in gaseous medium is adiabatic process. For adiabatic method

                              k = E_Φ = γP  E_Φ¾ Adiabatic elasticity γ =  C_p/C_v  = 1.41

For air,       

Relation between velocity of sound and root mean square velocity : If sound travel in a gaseous medium then v_sound=√(γRT)/M and r.m.s. velocity of gas v_rms=√(3RT)/M

So v_rms /v_sound = √(3/γ)   or    v_sound= [γ/3]^1/2v_rms          

Email based Physics assignment help - homework help at Expertsmind

Are you searching physics expert for help with Velocity of Longitudinal Wave  questions?  Velocity of Longitudinal Wave  topic is not easier to learn without external help?  We at www.expertsmind.com offer finest service of Physics assignment help and physics homework help. Live tutors are available for 24x7 hours helping students in their Velocity of Longitudinal Wave  related problems. We provide step by step Velocity of Longitudinal Wave  question's answers with 100% plagiarism free content. We prepare quality content and notes for Velocity of Longitudinal Wave  topic under physics theory and study material. These are avail for subscribed users and they can get advantages anytime.

Why Expertsmind for assignment help

1. Higher degree holder and experienced experts network
2. Punctuality and responsibility of work
3. Quality solution with 100% plagiarism free answers
4. Time on Delivery
5. Privacy of information and details
6. Excellence in solving physics queries in excels and word format.
7. Best tutoring assistance 24x7 hours