Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

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.

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.
 

Grade:11

1 Answers

Khimraj
3007 Points
2 years ago
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.

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free