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Two persons P and Q do same amount of work. The person Q does the work in tp seconds and person Q in tq seconds. Find the ratio of power delivered by them.
- a)zero
- b)tQ / tp
- c)1
- d)tP/tQ
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Two persons P and Q do same amount of work. The person Q does the work...
Work done/time = power, here work done is same. Power of person P =W/tp. Power of person Q =W/tq. The ratio of power = W/tp: W/tq= tq/tp
Most Upvoted Answer
Two persons P and Q do same amount of work. The person Q does the work...
To find the ratio of power delivered by persons P and Q, we need to understand the concept of power and how it is related to work and time.
Power is defined as the rate at which work is done or energy is transferred. Mathematically, power is given by the formula:
Power = Work / Time
Given that both persons P and Q do the same amount of work, let's assume the work done by each person is W. Person P takes tP seconds to do the work, while person Q takes tQ seconds to do the same work.
Let's calculate the power delivered by person P and person Q separately.
Power delivered by person P:
P = W / tP
Power delivered by person Q:
Q = W / tQ
Now, we need to find the ratio of power delivered by person Q to person P, i.e., Q / P.
Using the above equations, we can substitute the values of P and Q:
Q / P = (W / tQ) / (W / tP)
Simplifying the above expression, we get:
Q / P = (W / tQ) * (tP / W)
The work done W gets cancelled out, and we are left with:
Q / P = tP / tQ
Therefore, the ratio of power delivered by person Q to person P is tP / tQ.
In the given options, the correct answer is option B, tQ / tP.
Power is defined as the rate at which work is done or energy is transferred. Mathematically, power is given by the formula:
Power = Work / Time
Given that both persons P and Q do the same amount of work, let's assume the work done by each person is W. Person P takes tP seconds to do the work, while person Q takes tQ seconds to do the same work.
Let's calculate the power delivered by person P and person Q separately.
Power delivered by person P:
P = W / tP
Power delivered by person Q:
Q = W / tQ
Now, we need to find the ratio of power delivered by person Q to person P, i.e., Q / P.
Using the above equations, we can substitute the values of P and Q:
Q / P = (W / tQ) / (W / tP)
Simplifying the above expression, we get:
Q / P = (W / tQ) * (tP / W)
The work done W gets cancelled out, and we are left with:
Q / P = tP / tQ
Therefore, the ratio of power delivered by person Q to person P is tP / tQ.
In the given options, the correct answer is option B, tQ / tP.
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Two persons P and Q do same amount of work. The person Q does the work intpseconds and person Q intq seconds. Find the ratio of power delivered by them.a)zerob)tQ /tpc)1d)tP/tQCorrect answer is option 'B'. Can you explain this answer?
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