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

Quizplus · Accepted Answer

Starting with Bernoulli's equation: P + 0.5ρv^2 + ρgy = constant We can isolate the term in question (11eb6adc_ee6a_867c_b0cf_1beea53d326c_TB8245_11) as follows: 11eb6adc_ee6a_867c_b0cf_1beea53d326c_TB8245_11 = ρv^2 Looking at the units: [ρ] = M/L^3 [v] = L/T Substituting in the units, we get: [M/L^3] * [L^2/T^2] = [M/LT^2] Simplifying the units, we get: ML^-1T^-2 Which matches to option C, ML−¹T−².

The Term Occurs in Bernoulli's Equation in Chapter 15