Question

In the equation: v3 *t/A where v is the speed, t is the time and A is the area. Which of the following represents the dimensions of the result. Select one: a. length*time b. length2 /time c. length/time2 d. 1/time

Answer 1

Answer:

option C

Explanation:

given,

  $\dfrac{v^3t}{A}$

where v is the speed

           t is the time

          A is the area

we know v = m/s  

     dimension of v = [LT⁻¹]

                            v³ = [L³ T⁻³]

                t  = s

      dimension of t = [T]

unit of area = m²

     dimension of A = [L²]

dimension of the given equation

  $\dfrac{v^3t}{A}= \dfrac{[L^3T^{-3}][T]}{[L^2]}$

  $\dfrac{v^3t}{A}= \dfrac{[L]}{[T^2]}$

                                 =$\dfrac{Length}{time^2}$

hence, the correct answer is option C