Physics And Measurement Question 28

Question: With the usual notations, the following equation $ S _{t}=u+\frac{1}{2}a(2t-1) $ is

Options:

A) Only numerically correct

B) Only dimensionally correct

C) Both numerically and dimensionally correct

D) Neither numerically nor dimensionally correct

Show Answer

Answer:

Correct Answer: C

Solution:

We can derive this equation from equations of motion so it is numerically correct.

$ S _{t} $ = distance travelled in tth second = $ \frac{Distance}{time}=[L{{T}^{-1}}] $

$ u $ = velocity = $ [L{{T}^{-1}}] $

and $ \frac{1}{2}a(2t-1)=[L{{T}^{-1}}] $

As dimensions of each term in the given equation are same, hence equation is dimensionally correct also.



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