Question

If the unit of force is $4$ N, unit of length is $4$ m and unit of mass is $\frac{1}{4}$ kg in a new system, then the new unit of velocity is:

• A. $8{ms}^{-1}$
• B. $16{ms}^{-1}$
• C. $4{ms}^{-1}$
• D. $1{ms}^{-1}$

Answer 1

The correct option is A $8{ms}^{-1}$

$F=M^1{L}^1{T}^{-2}$

$4=\frac{1}{4}\times 4T^{-2}$

$T^{-2}=4$

$\Rightarrow T=\frac{1}{2}sec$

Velocity $=L{T}^{-1}=4\times (\frac{1}{2}{)}^{-1}=8m/s$