Question

If the work done W is represented by the formula
kW = m, where m is mass, then the dimensional formula of k is –

• A. $\lbrack L^{2}T^{2}\rbrack$
• B. $\lbrack L^{\text{-2}}T^{2}\rbrack$
• C. $\lbrack M^{0}L^{\text{-1}}T^{2}\rbrack$
• D. $\lbrack L^{\text{-2}}\text{T}\text{ }^{\text{-2}}\rbrack$

Answer 1

Answer: (B)

$\lbrack L^{\text{-2}}T^{2}\rbrack$

Answer 2

k = $\frac{m}{W}$ = $\frac{M^{1}}{M^{1}L^{2}T^{- 2}}$

= [M⁰L^–2T²]