Question

The momentum $P$ of a particle of mass $m$ is given as $P=mv$, where $v$ is the velocity of the particle. Then, from this equation it can be said that

• A. the independent variable is $v$ and the dependent variable is $P$.
• B. the independent variable is $P$ and the dependent variable is $v$.
• C. the independent variable is $m$ and the dependent variable is $P$.
• D. the independent variable is $v$ and the dependent variable is $m$.

Answer 1

The correct option is A the independent variable is $v$ and the dependent variable is $P$.

As in the equation $P=mv$, mass of the particle is given as $m$,
So, in the equation, on changing $v$, the value of $P$ will change, also, the equation can be written as $P=f\left(v\right)$.
Hence, the independent variable is $v$ and the dependent variable is $P$.