Question

please answer. This is confusing​

Answer 1

Answer:

Explanation:

According to rules of dimensional analysis , at has dimensions of 's'

a [T] = [L]

Dimensions of a = [M⁰LT⁻¹]

Similarly, bt² also has dimensions of 's'

b [T²] = [L]

Dimension of b= [M⁰LT⁻²]

So only C is correct. However, considering there has been an error in statement D and it is 'b' instead of 'a' , we can say the last option would be correct

Answer 2

Explanation:

s = at + bt2

From the principle of dimensional homogeneity, the left-hand side of the equation dimensionally equal to the right-hand side of the equation. So, the dimension of (s), (at) and (bt2) is the same.

The dimension formula of distance (s) = [L]

For the first term:

∴ [L] = [a] [T]

[a]= (L/T) = [LT−1]

For the second term:

⇒ [L] = [b] [T2]

The dimensional formula of 'b' is [M0 L1 T-2].