Work Energy And Power Question 264

Question: If two persons A and B take 2 seconds and 4 seconds respectively to lift an object to the same height h, then the ratio of their powers is

Options:

A) 1:2

B) 1:1

C) 2:1

D) 1:3

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ Power=\frac{work done}{time} $

Therefore power of A, $ {P _{A}}=\frac{mgh}{t _{A}} $ and power of B, $ {P _{B}}=\frac{mgh}{{t _{B}}} $
$ \therefore \frac{P _{A}}{P _{B}}=\frac{t _{B}}{t _{A}}=\frac{4}{2}=2:1 $



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