Question

In a new system of units, called SHAR system, the unit of length is $\alpha$ m, the unit of mass is $\frac{1}{\alpha }kg$ kg and the unit of time is ${\alpha }^2$ s. The unit of work in this system is

• A. α²J
• B. α^-2J
• C. α³J
• D. α^-3J

Answer 1

The correct option is C

α³J

$W=M{L}^2{T}^{-2}$

Substitute given new units of M, L & T