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Work, Energy, and Power — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysicsWork, Energy, and Power1 Mark
Question
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:
  1. $\text{t}^{\frac{1}{2}}$
  2. $\text{t}$
  3. $\text{t}^\frac{3}{2}$
  4. $\text{t}^2$
✓

Answer

  1. t.

Solution:

From,

V = u + at

V = 0 + at = at

As power, P = F × V

$\therefore$ P = (ma) × at = ma2t

As m and a are constants, therefore, $\text{P}\propto\text{t}$

Hence, right choice is (ii) t.

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