NEET Exam > NEET Questions > A spherical drop of oil of radius 1 cm is bro...
Start Learning for Free
A spherical drop of oil of radius 1 cm is broken into 1000 droplets of equal radii. If the surface tension of oil is 50 dynes/cm, the work done is
- a)18π ergs
- b)180π ergs
- c)1800π ergs
- d)18000π ergs
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A spherical drop of oil of radius 1 cm is broken into 1000 droplets of...
Most Upvoted Answer
A spherical drop of oil of radius 1 cm is broken into 1000 droplets of...
To find the work done, we need to find the change in surface area as the drop is broken into 1000 droplets.
The original drop has a radius of 1 cm, so its surface area is given by the formula for the surface area of a sphere: A = 4πr^2.
The original surface area is therefore 4π(1^2) = 4π cm^2.
When the drop is broken into 1000 droplets, each droplet will have a radius of 1/10 cm.
The surface area of each droplet is given by the formula for the surface area of a sphere: A = 4πr^2.
The surface area of each droplet is therefore 4π((1/10)^2) = 4π/100 cm^2.
Since there are 1000 droplets, the total surface area of all the droplets is 1000 * (4π/100) = 40π cm^2.
The change in surface area is therefore 40π - 4π = 36π cm^2.
The work done is equal to the change in surface area multiplied by the surface tension:
Work done = 36π * 50 dynes/cm = 1800π dynes/cm.
Since π is a constant, the work done is equal to 1800 times π dynes/cm.
The value of π is approximately 3.14, so the work done is approximately 1800 * 3.14 dynes/cm.
Therefore, the work done is approximately 5652 dynes/cm or 56.52 ergs.
Since 1 erg = 1 dyne * cm, the work done is also approximately 56.52 ergs.
Therefore, the answer is approximately 56.52 or 18 when rounded to the nearest whole number.
So, the correct answer is a) 18.
The original drop has a radius of 1 cm, so its surface area is given by the formula for the surface area of a sphere: A = 4πr^2.
The original surface area is therefore 4π(1^2) = 4π cm^2.
When the drop is broken into 1000 droplets, each droplet will have a radius of 1/10 cm.
The surface area of each droplet is given by the formula for the surface area of a sphere: A = 4πr^2.
The surface area of each droplet is therefore 4π((1/10)^2) = 4π/100 cm^2.
Since there are 1000 droplets, the total surface area of all the droplets is 1000 * (4π/100) = 40π cm^2.
The change in surface area is therefore 40π - 4π = 36π cm^2.
The work done is equal to the change in surface area multiplied by the surface tension:
Work done = 36π * 50 dynes/cm = 1800π dynes/cm.
Since π is a constant, the work done is equal to 1800 times π dynes/cm.
The value of π is approximately 3.14, so the work done is approximately 1800 * 3.14 dynes/cm.
Therefore, the work done is approximately 5652 dynes/cm or 56.52 ergs.
Since 1 erg = 1 dyne * cm, the work done is also approximately 56.52 ergs.
Therefore, the answer is approximately 56.52 or 18 when rounded to the nearest whole number.
So, the correct answer is a) 18.
Free Test
FREE
| Start Free Test |
Community Answer
A spherical drop of oil of radius 1 cm is broken into 1000 droplets of...
How many bone of new born baby
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
A spherical drop of oil of radius 1 cm is broken into 1000 droplets of equal radii. If the surface tension of oil is 50 dynes/cm, the work done isa)18π ergsb)180π ergsc)1800π ergsd)18000π ergsCorrect answer is option 'C'. Can you explain this answer?
Question Description
A spherical drop of oil of radius 1 cm is broken into 1000 droplets of equal radii. If the surface tension of oil is 50 dynes/cm, the work done isa)18π ergsb)180π ergsc)1800π ergsd)18000π ergsCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A spherical drop of oil of radius 1 cm is broken into 1000 droplets of equal radii. If the surface tension of oil is 50 dynes/cm, the work done isa)18π ergsb)180π ergsc)1800π ergsd)18000π ergsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A spherical drop of oil of radius 1 cm is broken into 1000 droplets of equal radii. If the surface tension of oil is 50 dynes/cm, the work done isa)18π ergsb)180π ergsc)1800π ergsd)18000π ergsCorrect answer is option 'C'. Can you explain this answer?.
A spherical drop of oil of radius 1 cm is broken into 1000 droplets of equal radii. If the surface tension of oil is 50 dynes/cm, the work done isa)18π ergsb)180π ergsc)1800π ergsd)18000π ergsCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A spherical drop of oil of radius 1 cm is broken into 1000 droplets of equal radii. If the surface tension of oil is 50 dynes/cm, the work done isa)18π ergsb)180π ergsc)1800π ergsd)18000π ergsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A spherical drop of oil of radius 1 cm is broken into 1000 droplets of equal radii. If the surface tension of oil is 50 dynes/cm, the work done isa)18π ergsb)180π ergsc)1800π ergsd)18000π ergsCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A spherical drop of oil of radius 1 cm is broken into 1000 droplets of equal radii. If the surface tension of oil is 50 dynes/cm, the work done isa)18π ergsb)180π ergsc)1800π ergsd)18000π ergsCorrect 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 A spherical drop of oil of radius 1 cm is broken into 1000 droplets of equal radii. If the surface tension of oil is 50 dynes/cm, the work done isa)18π ergsb)180π ergsc)1800π ergsd)18000π ergsCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A spherical drop of oil of radius 1 cm is broken into 1000 droplets of equal radii. If the surface tension of oil is 50 dynes/cm, the work done isa)18π ergsb)180π ergsc)1800π ergsd)18000π ergsCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A spherical drop of oil of radius 1 cm is broken into 1000 droplets of equal radii. If the surface tension of oil is 50 dynes/cm, the work done isa)18π ergsb)180π ergsc)1800π ergsd)18000π ergsCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A spherical drop of oil of radius 1 cm is broken into 1000 droplets of equal radii. If the surface tension of oil is 50 dynes/cm, the work done isa)18π ergsb)180π ergsc)1800π ergsd)18000π ergsCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A spherical drop of oil of radius 1 cm is broken into 1000 droplets of equal radii. If the surface tension of oil is 50 dynes/cm, the work done isa)18π ergsb)180π ergsc)1800π ergsd)18000π ergsCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup