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Question

Rate of doing work is directly proportional to time taken to do the work.

A
True
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B
False
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C
Ambiguous
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D
Data insufficient
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Solution

The correct option is B False
Answer is B.

Power is defined as the rate at which work is done upon an object. Power is a time-based quantity. It is related to how fast a job is done. Two identical jobs or tasks can be done at different rates - one slowly or and one rapidly. The work is the same in each case (since they are identical jobs) but the power is different. The equation for power shows the importance of time: Power = Work / time.
P = W / t. That is, the time taken to complete the job is inversely proportional to power required to perform the task.
Hence, the statement is false.

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