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 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 corrected Newton's formula for velocity of sound in air is v=sqrt((gamma P)/(rho)) , where P is pressure and rho is density of air, gamma =1.42 for air. At normal temperature ane pressure, velocity of sound in air =332m//s . Read the above passage and answer the following question: (i) How do the sound horns protect us from the oncoming vehicles ? ltbr. (ii) How does a sand scorpion fing its prey? (iii) Will the velocity of sound in air change on changing the pressure alone?

Write the limitations of dimensions and obtain the values of a,b and c in the equation TpropP^(a)rho^(b)E^(c) where, T is time, P is pressure E is energy and rho is density.

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 ?

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 ?

Use the formula v = sqrt(( gamma p )/(rho )) to explain why the speed of sound in air increases with humidity.

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

Use the formula v = sqrt(( gamma p )/(rho )) to explain why the speed of sound in air is independent of pressure

Find the dimensions of a and b in the formula [P + (a)/(V^(2))[V-b]] = RT where P is pressure and V is the volume of the gas.