The velocity of sound waves 'v' through a medium may be assumed to depend on :
(i) the density of the medium 'd' and (ii) the modulus of elasticity 'E' .
Deduce by the method of dimensions the formula for the velocity of sound . Take dimensional constant K=1.

The velocity v of sound waves, through a medium may be assumed to depend on density of the medium, d and Modulus of elasticity (E) . Modulus of elasticity is a ratio of stress to strain and stress is force per unit area. Deduce by the method of dimensions the formula for the velocity of sound.

The velocity (v) of sound through a medium may be assumed to depend on the density (rho) of the medium and modulus of elasticity (E). If the dimensions for elasticity (ratio of stress to strain) are [ML^(-1)T^(-2)] then deduce by the method of dimensions the formula for the velocity of sound is

The time period 'T' of a body executing SHM may be supposed to depend upon (i) the amplitude 'A' , (ii) the force constant 'k' and (iii) the mass 'm' . Deduce by the method of dimensions the formula for T.

Given that the velocity of sound in a medium depends on the modulus of elasticity and the density of the medium, find an expression for velocity of sound by dimensional analysis.

The velocity upsilon of sound waves in a medium may depend upon modulus of elasticity (E ), density (d) and wavelength (lambda) of of the waves. Use method of dimensions to deerive the formula for upsilon.

If the velocity of sound wave in a medium of density 2200 kg//m^3 is 4 km//s . The modulus of elasticity of the medium is

The velocity of water wave v may depend on their wavelength lambda , the density of water rho and the acceleration due to gravity g . The method of dimensions gives the relation between these quantities as

The velocity of water wave v may depend on their wavelength lambda , the density of water rho and the acceleration due to gravity g . The method of dimensions gives the relation between these quantities as