JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Question Bank Self Evaluation Test - Work, Energy and Power

  • question_answer
    A constant power P is applied to a car starting from rest. If v is the velocity of the car at time t, then

    A) \[v\propto t\]

    B) \[v\propto \frac{1}{t}\]

    C) \[v\propto \sqrt{t}\]

    D) \[v\propto \frac{1}{\sqrt{t}}\]

    Correct Answer: A

    Solution :

    [a] Power, \[\operatorname{P}=\operatorname{F}.v=m\frac{dv}{dt}.v\] As P is constant, \[\frac{v}{dt}=\]constant \[\Rightarrow v\propto dt\text{ }\Rightarrow v\propto t\]


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