Physics

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


ANSWER

halved


SOLUTION

$$Momentum=m\times v=MLT^{-1}$$

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

$$\Rightarrow \displaystyle 

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

$$\displaystyle \Rightarrow  \frac{MLT^{-1}}{2}=\frac{momentum}{2}$$

Hence, option B is correct.
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