Velocity of sound depends on density (rho) and modulus of elasticity (E). (The dimensional formula of E is` (MI^-1T^-2)`.
State the principle of homogeneity.

Velocity of sound depends on density (rho) and modulus of elasticity (E). (The dimensional formula of E is (MI^-1T^-2) . Using the above principle , arrive at an expression for the velocity of sound.(Take K=1 )

The centripetal force depends on mass of the body, velocity and radius of circular path. Find the expression for the centripetal force acting on the body using the principle of dimensional analysis. (Take constant k=1)

Mechanical power is represented by P=Fv+Av^3p where, F is the force ,v is the velocity, A is the area and rho is the density. The dimensional formula of power is .............

While discussing the propagation of sound through atmospheric air,one argued that the velocity of sound is 280 ms^(-1) and said that he calculated it using Newton's formula.But another learner argued that velocity of sound is 330 ms^(-1) .He justified his arguement by saying that he has applied Laplace corrected formula. Using the above relation,show that velocity depends on temperature and humidity while is independent of pressure.