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.
