JEE Mains · Physics · STD 11 - 5. work,energy,power and collision
A body is moving unidirectionally under the influence of a constant Power source. Its displacement in time \(t\) is proportional to _______.
- A \(t^2\)
- B \(\mathrm{t}^{2 / 3}\)
- C \(t^{3 / 2}\)
- D \(\mathrm{t}\)
Answer & Solution
Correct Answer
(C) \(t^{3 / 2}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{P}=\text { costant } \Rightarrow \mathrm{FV}=\text { constant }\) \(\Rightarrow \mathrm{m} \frac{\mathrm{dV}}{\mathrm{dt}} \mathrm{V}=\text { constant }\) \(\int_0^{\mathrm{V}} \mathrm{VdV}=(\mathrm{C}) \int_0^{\mathrm{t}} \mathrm{dt}\)…
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