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

option C

Step-by-step explanation:

given,

`(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

`(v^3t)/(A)= ([L^3T^(-3)][T])/([L^2])`

`(v^3t)/(A)= ([L])/([T^2])`

=
`(Length)/(time^2)`

hence, the correct answer is option C