Question:
The velocity of a particle (v) at an instant t is given by v=at bt square .The dimension of b is
Answer:
Given, V= at+bt2
Where, V is velocity and t is time.
Now as we know that only dimensionally same quantities could be added or subtracted.
and the dimension of velocity V is=[LT-1]
So, [LT-1] = at
Dimension of time t is= [T]
So,dimension of a is=[LT-1] /[T]
= [LT-2]
And also bt2 = [LT-1]
So, dimension of b is =[LT-1]/[T2]
= [LT-3]
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