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COMEDK · Physics · 6. Work Power Energy

One coolie takes \(1\mathrm{min}\) 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 powers of two coolies are in the ratio.

  1. A \(1: 3\)
  2. B \(2: 1\)
  3. C \(3: 1\)
  4. D \(1: 2\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(1: 2\)

Step-by-step Solution

Detailed explanation

Here, work done \(=m g h\) As, \(m\) and \(h\) is same, so work done will be same in both cases. Power, \(P=\frac{\text { Work done }(W)}{\text { Time taken }(t)}\) \(\Rightarrow \quad \frac{P_{1}}{P_{2}}=\frac{t_{2}}{t_{1}}=\frac{30}{60}=\frac{1}{2}\) or \(1: 2\)
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