Q100 / 180 · NEET 2013 (Karnataka) · Physics
One coolie takes 1 minute to raise a suitcase through a height of $2 \mathrm{~m}$ but the second coolie takes $30 \mathrm{~s}$ to raise the same suitcase to the same height. The power two coolies are in the ratio
- A$1: 3$
- B$2: 1$
- C$3: 1$
- Correct answerD$1: 2$
Solution
We know that
$$
\text { Power }=\frac{\text { Work done }}{\text { Time }}
$$
Work done $=m g h$ is same in both the case
$$
\therefore \frac{\mathrm{P}_1}{\mathrm{P}_2}=\frac{f_2}{f_1}=\frac{30 \mathrm{sec}}{1 \mathrm{~min}}=\frac{1}{2}
$$
Hence, the correct answer is option: 'D'.