The velocity of sound (v) in a gas depends upon coefficient of volume, elasticity(E) of the gas and density(d) of the gas. Use methods of dimension to derive the formula for v.
Answers
Answered by
12
As velcoity depends on both that is elasticity it would be:
v = k*a^x d^y
where a is the elasticity and d is thedensity.
Dimensions of
a and d are:
ML^-1T^-2 AND ML^-3T^0 respectively.
Dimension velocity => M^0L^1T^-1
Oncomaring we get x+y = 0 and x + 3y = -1
we get
x= ½ and y = -1/2.
v = k*a^x d^y
where a is the elasticity and d is thedensity.
Dimensions of
a and d are:
ML^-1T^-2 AND ML^-3T^0 respectively.
Dimension velocity => M^0L^1T^-1
Oncomaring we get x+y = 0 and x + 3y = -1
we get
x= ½ and y = -1/2.
PalakGusain:
thnk u
Similar questions