Verified Solution • 2025–26 Session moderate

Q5.9: NCERT Physics - Part 1 WORK, ENERGY AND POWER 5.9 Solution: A body is initially at rest. It undergoes one-dimensional…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often incorrectly assume power is proportional to $t^2$ by confusing it with kinetic energy ($K \propto v^2$) or work done ($W \propto t^2$). Remember that instantaneous power is defined as $P = Fv$, and since $v \propto t$ for constant acceleration, $P$ is directly proportional to $t$.

A body is initially at rest. It undergoes one-dimensional motion with constant acceleration. The power delivered to it at time t is proportional to (i) t^(1/2) (ii) t (iii) t^(3/2) (iv) t_

Step-by-Step Verified Solution

**Answer:** (ii) t **Step-by-Step Explanation:** Velocity at time t: v = at. Force F = ma. Power P = Fv = ma _ at = ma_t. Since m and a are constant, P _ t.

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