Check the dimensional consistency of the relation `upsilon = (1)/(I) sqrt((P)/(rho))` where I is length, `upsilon` is velocity, P is pressure and `rho` is density,

Check by the method of dimensions, whether the folllowing relation are dimensionally correct or not. (i) upsilon = sqrt(P//rho) , where upsilon is velocity. P is prerssure and rho is density. (ii) v= 2pisqrt((I)/(g)), where I is length, g is acceleration due to gravity and v is frequency.

The dimensions of gamma in the relation v = sqrt((gamma p)/(rho)) (where v is velocity, p is pressure , rho is density)

Check the dimensional consistency of the following equations : (i) upsilon = u +at (ii) s = ut +(1)/(2) at^2 (iii) upsilon^2 - u^2 = 2as

Check the correctness of the relation : upsilon = (pi P(a^2 - x^2))/(2etaI), Where upsilon is velocity, p is pressure difference, a is radius of tube, x is distance from the axis of tube, eta is coeff. Of viscosity and I is length of the tube.

Check by the method of dimensions, the formula upsilo = (1)/(lambda)sqrt((K)/(d)), where upsilon is velocity of longitudinal waves, lambdas is wavelength of wave, K is coefficient of volume elasticity and d is density of the medium.

Check the correctness of the relation : v=sqrt((E )/(rho)) where the symbols have their usual meanings.

Identify the physical quantity x defined as x = (I F upsilon^2)/(W I^3), where I is moment of inertia, F is force, upsilon is veloicty, W is work and I is length.

Identify the physical quantity x defined as x = (I F upsilon^2)/(W I^3), where I is moment of inertia, F is force, upsilon is veloicty, W is work and I is length.

If V=sqrt((gammaP)/(rho)),V =velocity, P= pressure rho = density, then dimension of gamma will be …….

According to Laplace's formula, the velocity (V) of sound in a gas is given by v=sqrt((gammaP)/(rho)) , where P is the pressure and rho is the density of the gas. What is the dimensional formula for gamma ?