NEET Exam > NEET Questions > Water fall from a height 50m. If one third it...
Start Learning for Free
Water fall from a height 50m. If one third its mechanical energy converted into heat what will be the rise in temperature of water.
- a)4°C
- b)0.4°C
- c)0.04°C
- d)40°C
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Water fall from a height 50m. If one third its mechanical energy conve...
Introduction
When water falls from a height, it converts potential energy into kinetic energy. In this case, one third of the mechanical energy is converted into heat, resulting in an increase in the temperature of the water.
Step 1: Calculate Mechanical Energy
- The potential energy (PE) of the water at a height (h) can be calculated using the formula:
PE = mgh
where:
m = mass of water (in kg),
g = acceleration due to gravity (approximately 9.81 m/s²),
h = height (50 m).
Step 2: Energy Converted to Heat
- One third of the mechanical energy is converted to heat:
Heat Energy (Q) = (1/3) * PE.
Step 3: Calculate Temperature Rise
- The heat energy can be used to find the rise in temperature (ΔT) using the formula:
Q = mcΔT,
where:
c = specific heat capacity of water (approximately 4.18 J/g°C or 4180 J/kg°C).
- Rearranging gives:
ΔT = Q / (mc).
Step 4: Substitute Values
- Let's assume we have 1 kg of water for simplicity:
PE = 1 * 9.81 * 50 = 490.5 J.
Q = (1/3) * 490.5 J = 163.5 J.
- Now, using the specific heat capacity:
ΔT = 163.5 J / (1 kg * 4180 J/kg°C) ≈ 0.0391°C.
Conclusion
- The rise in temperature of the water is approximately 0.04°C, which matches option 'C'.
Thus, the answer is confirmed as option 'C'.
When water falls from a height, it converts potential energy into kinetic energy. In this case, one third of the mechanical energy is converted into heat, resulting in an increase in the temperature of the water.
Step 1: Calculate Mechanical Energy
- The potential energy (PE) of the water at a height (h) can be calculated using the formula:
PE = mgh
where:
m = mass of water (in kg),
g = acceleration due to gravity (approximately 9.81 m/s²),
h = height (50 m).
Step 2: Energy Converted to Heat
- One third of the mechanical energy is converted to heat:
Heat Energy (Q) = (1/3) * PE.
Step 3: Calculate Temperature Rise
- The heat energy can be used to find the rise in temperature (ΔT) using the formula:
Q = mcΔT,
where:
c = specific heat capacity of water (approximately 4.18 J/g°C or 4180 J/kg°C).
- Rearranging gives:
ΔT = Q / (mc).
Step 4: Substitute Values
- Let's assume we have 1 kg of water for simplicity:
PE = 1 * 9.81 * 50 = 490.5 J.
Q = (1/3) * 490.5 J = 163.5 J.
- Now, using the specific heat capacity:
ΔT = 163.5 J / (1 kg * 4180 J/kg°C) ≈ 0.0391°C.
Conclusion
- The rise in temperature of the water is approximately 0.04°C, which matches option 'C'.
Thus, the answer is confirmed as option 'C'.
Free Test
FREE
| Start Free Test |
Community Answer
Water fall from a height 50m. If one third its mechanical energy conve...
|
Explore Courses for NEET exam
|
|
Top Courses for NEETView all
Question Description
Water fall from a height 50m. If one third its mechanical energy converted into heat what will be the rise in temperature of water.a)4°Cb)0.4°Cc)0.04°Cd)40°CCorrect answer is option 'C'. 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 Water fall from a height 50m. If one third its mechanical energy converted into heat what will be the rise in temperature of water.a)4°Cb)0.4°Cc)0.04°Cd)40°CCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water fall from a height 50m. If one third its mechanical energy converted into heat what will be the rise in temperature of water.a)4°Cb)0.4°Cc)0.04°Cd)40°CCorrect answer is option 'C'. Can you explain this answer?.
Water fall from a height 50m. If one third its mechanical energy converted into heat what will be the rise in temperature of water.a)4°Cb)0.4°Cc)0.04°Cd)40°CCorrect answer is option 'C'. 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 Water fall from a height 50m. If one third its mechanical energy converted into heat what will be the rise in temperature of water.a)4°Cb)0.4°Cc)0.04°Cd)40°CCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water fall from a height 50m. If one third its mechanical energy converted into heat what will be the rise in temperature of water.a)4°Cb)0.4°Cc)0.04°Cd)40°CCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Water fall from a height 50m. If one third its mechanical energy converted into heat what will be the rise in temperature of water.a)4°Cb)0.4°Cc)0.04°Cd)40°CCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of Water fall from a height 50m. If one third its mechanical energy converted into heat what will be the rise in temperature of water.a)4°Cb)0.4°Cc)0.04°Cd)40°CCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Water fall from a height 50m. If one third its mechanical energy converted into heat what will be the rise in temperature of water.a)4°Cb)0.4°Cc)0.04°Cd)40°CCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Water fall from a height 50m. If one third its mechanical energy converted into heat what will be the rise in temperature of water.a)4°Cb)0.4°Cc)0.04°Cd)40°CCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Water fall from a height 50m. If one third its mechanical energy converted into heat what will be the rise in temperature of water.a)4°Cb)0.4°Cc)0.04°Cd)40°CCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Water fall from a height 50m. If one third its mechanical energy converted into heat what will be the rise in temperature of water.a)4°Cb)0.4°Cc)0.04°Cd)40°CCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily