The term occurs in Bernoulli's equation in Chapter 15, with ρ being the density of a fluid and v its speed. The dimensions of this term are
A)M−1L5T2.
B)MLT2.
C)ML−1T−2.
D)M−1L9T−2.
E)M−1L3T−2.

Question

The term  occurs in Bernoulli's equation in Chapter 15, with ρ being the density of a fluid and v its speed. The dimensions of this term are
A)M−1L5T2. 
B)MLT2. 
C)ML−1T−2. 
D)M−1L9T−2. 
E)M−1L3T−2.

Quizplus · Accepted Answer

From Bernoulli's equation, 
11eb8c7e_f59f_f20f_8371_bba9512dcd95_TB8847_11 = ρv^2/2
where ρ has dimensions of mass per unit volume (M/L^3) and v has dimensions of velocity (L/T). 
Thus, the dimensions of 11eb8c7e_f59f_f20f_8371_bba9512dcd95_TB8847_11 can be found by substituting the dimensions of ρ and v: 
[M/L^3] * [(L/T)^2]/2 = [M/LT^2] 
Therefore, the answer is C: ML^(-1)T^(-2).

The Term Occurs in Bernoulli's Equation in Chapter 15