Question

If the fundamental units of length, mass and time are halved, the unit of momentum will be:

• A. doubled
• B. halved
• C. same
• D. four times

Answer 1

The correct option is B halved

$Momentum=m\times v=ML{T}^{-1}$

$M^1=\frac{M}{2},L^1=\frac{1}{2},T^1=\frac{T}{2}$

$\Rightarrow \frac{\frac{M}{2}\times \frac{L}{2}}{\frac{T}{2}}=\frac{ML{T}^{-1}}{2}$

$\Rightarrow \frac{ML{T}^{-1}}{2}=\frac{momentum}{2}$
Hence, option B is correct.