Question

Assertion Product of mass and velocity (i.e. momentum) is basic to the effect of force on motion.
Reason Same force for same time causes the same change in momentum for different bodies.

• A. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
• B. Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
• C. Assertion is correct but Reason is incorrect.
• D. Assertion is incorrect but Reason is correct.

Answer 1

Answer: (C)

As we know, momentum, $p=mv$
Change in $p$ can be brought by changing force $F$ i.e.
As, $F=\frac{dp}{dt}=$ rate of change of momentum with time.
$\Rightarrow dp=Fdt$
$\Rightarrow mdv=Fdt$
So, in order to keep, $Fdt$ constant, $mdv$ should be constant, here $m$ and $dv$ can change from one body to another body.
Thus, same force for same time can cause different change in momentum for different bodies.
Therefore, Assertion is correct but Reason is incorrect.