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How much water, a pump of 2 kW can raise in one minute to a height of 10 m, take g = 10 m/s2? [1990]
- a)1000 litres
- b)1200 litres
- c)100 litres
- d)2000 litres
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
How much water, a pump of 2 kW can raise in one minute to a height of ...
Here, P = 2kW = 2000 W..W = Mgh = M × 10 × 10 = 100 M and t = 60 s.
This gives, M = 1200 kg Its volume = 1200 litre as 1 litre of water contains 1 kg of its mass.
Most Upvoted Answer
How much water, a pump of 2 kW can raise in one minute to a height of ...
To solve this problem, we can use the principle of work and energy. The work done by the pump is equal to the change in potential energy of the water.
Given:
Power of the pump (P) = 2 kW
Height (h) = 10 m
Acceleration due to gravity (g) = 10 m/s^2
We know that power is defined as the rate at which work is done. Therefore, we can express power in terms of work and time:
P = W / t
Where P is power, W is work, and t is time.
Since work is equal to the change in potential energy, we can write:
W = mgh
Where m is the mass of the water, g is the acceleration due to gravity, and h is the height.
We can rearrange the equation for power to solve for work:
W = Pt
Substituting the value of power and time, we get:
W = (2 kW) x (60 s) = 120 kJ
Now we can substitute the value of work into the equation for potential energy:
W = mgh
120 kJ = m x 10 m/s^2 x 10 m
Simplifying the equation, we find:
m = 120 kJ / (10 m/s^2 x 10 m) = 1.2 kg
Now, we need to convert the mass of water to volume using the density of water. The density of water is approximately 1000 kg/m^3.
Volume = mass / density
Volume = 1.2 kg / 1000 kg/m^3 = 0.0012 m^3
Since 1 m^3 is equal to 1000 liters, the volume of water raised by the pump in one minute is:
Volume = 0.0012 m^3 x 1000 liters/m^3 = 1.2 liters
Therefore, the correct answer is option B) 1200 liters.
Given:
Power of the pump (P) = 2 kW
Height (h) = 10 m
Acceleration due to gravity (g) = 10 m/s^2
We know that power is defined as the rate at which work is done. Therefore, we can express power in terms of work and time:
P = W / t
Where P is power, W is work, and t is time.
Since work is equal to the change in potential energy, we can write:
W = mgh
Where m is the mass of the water, g is the acceleration due to gravity, and h is the height.
We can rearrange the equation for power to solve for work:
W = Pt
Substituting the value of power and time, we get:
W = (2 kW) x (60 s) = 120 kJ
Now we can substitute the value of work into the equation for potential energy:
W = mgh
120 kJ = m x 10 m/s^2 x 10 m
Simplifying the equation, we find:
m = 120 kJ / (10 m/s^2 x 10 m) = 1.2 kg
Now, we need to convert the mass of water to volume using the density of water. The density of water is approximately 1000 kg/m^3.
Volume = mass / density
Volume = 1.2 kg / 1000 kg/m^3 = 0.0012 m^3
Since 1 m^3 is equal to 1000 liters, the volume of water raised by the pump in one minute is:
Volume = 0.0012 m^3 x 1000 liters/m^3 = 1.2 liters
Therefore, the correct answer is option B) 1200 liters.
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Community Answer
How much water, a pump of 2 kW can raise in one minute to a height of ...
P=w/t , w=mgh
so p = mgh/t
m = p x t/g x h = 2000x60/10x10 = 1200kg
so p = mgh/t
m = p x t/g x h = 2000x60/10x10 = 1200kg
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How much water, a pump of 2 kW can raise in one minute to a height of 10 m, take g = 10 m/s2? [1990]a)1000 litresb)1200 litresc)100 litresd)2000 litresCorrect answer is option 'B'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about How much water, a pump of 2 kW can raise in one minute to a height of 10 m, take g = 10 m/s2? [1990]a)1000 litresb)1200 litresc)100 litresd)2000 litresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How much water, a pump of 2 kW can raise in one minute to a height of 10 m, take g = 10 m/s2? [1990]a)1000 litresb)1200 litresc)100 litresd)2000 litresCorrect answer is option 'B'. Can you explain this answer?.
How much water, a pump of 2 kW can raise in one minute to a height of 10 m, take g = 10 m/s2? [1990]a)1000 litresb)1200 litresc)100 litresd)2000 litresCorrect answer is option 'B'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about How much water, a pump of 2 kW can raise in one minute to a height of 10 m, take g = 10 m/s2? [1990]a)1000 litresb)1200 litresc)100 litresd)2000 litresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How much water, a pump of 2 kW can raise in one minute to a height of 10 m, take g = 10 m/s2? [1990]a)1000 litresb)1200 litresc)100 litresd)2000 litresCorrect answer is option 'B'. Can you explain this answer?.
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