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Grade: 11

                        

Q.The position of particle in a specific rectilinear motion is given by x(t)=v’/beta(1-e^-beta*t) where beta and v’ are constants. Determine the dimensions of v’*beta. While solving it , How to know x(t) gives some distance or v’ is speed.Is there a way to deduce equations and get their meaning,i.e.physical quantity.

2 years ago

Answers : (1)

Khimraj
3007 Points
							
x is position of particle’so unit of x is length
power of e should be dimensionless so unit of 
beta = 1/time
(1-e^-beta*t) is dimension less
then v’/beta = length
so v’*time = length
then v’ = length/time
so v’ = [M0L1T-1]
beta = [M0L0T-1]
Hope it clears.
2 years ago
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