Question

The dimension formula of resultant when two quantities of dimensions $\left[ML{T}^{-1}\right]$ are added together, is

• A. $\left[M^0{L}^0{T}^0\right]$
• B. $\left[ML{T}^{-1}\right]$
• C. $2\left[ML{T}^{-1}\right]$
• D. $\text{None of these}$

Answer 1

The correct option is B $\left[ML{T}^{-1}\right]$

Only same dimensional quantity can be added or subtracted and the result will also have same dimensions
So, when two quantities of dimensions $\left[ML{T}^{-1}\right]$ are added the resultant will have dimensions of $\left[ML{T}^{-1}\right]$.