Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Work Power Energy

Question:

A car drives along a straight level frictionless road by an engine delivering constant power. Then velocity is directly proportional to : 

Options:

\(t\)

\(\frac{1}{\sqrt{t}}\)

\(\sqrt{t}\)

\(t^2\)

Correct Answer:

\(\sqrt{t}\)

Explanation:

\(P = Fv = M\frac{dv}{dt}v\)

Hence, v dv = \(\frac{P}{m} dt\)

On integration, we find : \(\int v dv = \int \frac{P}{m} dt\)

\(v^2 = \frac{P}{m}t\)

\(v \propto \sqrt{t}\)