Question

dimensional formula for work as: (a) [ML^2T^2] (b) [ML^-2T^2] (C) [ML^2T^-2] (d) [ML^-T-2]​

Answer 1

Answer:

• (c)[ML²T⁻²] is the required option .

Explanation:

$\boxed{\bf{\bf\;Work= Force\times\;displacement}}$

As we know that the dimension Formula of Force

→ Force = [MLT⁻²] ---(i)

Also, Displacement can be written as

→ Displacement = Length

→ Displacement = L ----(ii)

Putting the value of equation (i) & (ii) in above formula we get

$\dashrightarrow\sf\;Work = MLT^{-2} \times L\\\\\\\dashrightarrow\sf\;Work = ML^2T^{-2}\\\\\\\bullet\boxed{\bf{Hence,the\; required\; dimension\; formula\; of\; work \; is\;ML^2T^{-2} }}$

So, Option (c) [ML²T⁻²] is the required answer.

Answer 2

Option C) is Right answer .

HOPE IT IS HELPFUL FOR YOU.