Question

012 (part 1 of 2) 10.0 points The velocity v of a sound wave traveling in the air depends on B, the bulk modulus, and p, the density of the air. The bulk modulus is defined by the variation of pressure AP = -B , where is the fractional change of the volume. If v = Bºpy, choose the correct set of equa- tions. The powers of x and y may be de- termined based on a dimensional analysis by equating the powers of M, of L and of T. 1.0= m +,0 = r - 3y and 1 = -22 2.0 = x + y, 1= --3y and -1 = -20 3.0 = r - y, 2 = + 3y and -1 = -2r 4.1= x +y, 0= -3y and 1= -20 5.0 = x - y1=r-3y and 1= -22 6.0 = 1 + y, 1 = 1 - 3y and 1 = -2x 7.0 = 1 + y, 1 = 1 + 3y and 1 = -22 8.0=r+y, 1 = -2 + 3y and -1 = -22 9.0 = x -y, 1= 2 + 3y and 1 = -2:

Answer 1

(I) unfts T-=x2-rishę-x- 'o=htx [xz-da he-x-? AtxW] : [.-17] [endinth] = 9 ar-the-x-? ft x W = ] = [opt= g gle-7W7 Co-4W] = ño.g-=do Ad 28 cm L W