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Question

If the body A does a work in 20 s and body B does the same work in 40 s then, what is the ratio of their power respectively?



Correct Answer
A

2:1

Your Answer
B

3:2

Your Answer
C

3:4

Your Answer
D

4:1


Solution

The correct option is A

2:1


Let the power developed by body A = PA and  power developed by body B = PB
Given, time taken by A, tA=20 s and time taken by B, tB=40 s.
Power, P=Work doneTime taken
As work done is constant or same, power is inversely proportional to time taken. 
PAPB=tBtA=4020=21.
 Hence, power ratio = 2:1.

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