JEE Exam  >  JEE Questions  >  The change in surface energy, when a drop of ... Start Learning for Free
The change in surface energy, when a drop of surface tension T and radius of R splits into 1000 droplets of radius r, is
  • a)
    4πR2T
  • b)
    16πR2T
  • c)
    36πR2T
  • d)
    72πR2T
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The change in surface energy, when a drop of surface tension T and rad...
Free Test
Community Answer
The change in surface energy, when a drop of surface tension T and rad...
Understanding Surface Energy Change
When a drop of radius R splits into smaller droplets of radius r, we need to analyze the change in surface energy due to the variation in surface area.
Surface Area Calculation
- The surface area of the initial drop is given by:
- A_initial = 4πR²
- The surface area of one smaller droplet is:
- A_droplet = 4πr²
- Since the original drop splits into 1000 droplets, the total surface area of all droplets combined is:
- A_total = 1000 × A_droplet = 1000 × 4πr² = 4000πr²
Relating Radii
- The relationship between the radii of the original drop and the smaller droplets can be derived from the volume conservation principle:
- Volume of original drop = Volume of 1000 droplets
- (4/3)πR³ = 1000 × (4/3)πr³
- This simplifies to R³ = 1000r³, leading to r = R/10.
Surface Energy Change Calculation
- Now substituting r in the total surface area:
- A_total = 4000π(R/10)² = 4000π(R²/100) = 40πR²
- Calculate the change in surface area:
- Change in Surface Area = A_total - A_initial
- = 40πR² - 4πR² = 36πR²
Final Change in Surface Energy
- Since surface energy (E) is related directly to surface area (A) through surface tension (T):
- Change in Surface Energy = T × Change in Surface Area
- = T × 36πR²
Thus, the correct option is C) 36πR²T.
Explore Courses for JEE exam
The change in surface energy, when a drop of surface tension T and radius of R splits into 1000 droplets of radius r, isa)4πR2Tb)16πR2Tc)36πR2Td)72πR2TCorrect answer is option 'C'. Can you explain this answer?
Question Description
The change in surface energy, when a drop of surface tension T and radius of R splits into 1000 droplets of radius r, isa)4πR2Tb)16πR2Tc)36πR2Td)72πR2TCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The change in surface energy, when a drop of surface tension T and radius of R splits into 1000 droplets of radius r, isa)4πR2Tb)16πR2Tc)36πR2Td)72πR2TCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The change in surface energy, when a drop of surface tension T and radius of R splits into 1000 droplets of radius r, isa)4πR2Tb)16πR2Tc)36πR2Td)72πR2TCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The change in surface energy, when a drop of surface tension T and radius of R splits into 1000 droplets of radius r, isa)4πR2Tb)16πR2Tc)36πR2Td)72πR2TCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The change in surface energy, when a drop of surface tension T and radius of R splits into 1000 droplets of radius r, isa)4πR2Tb)16πR2Tc)36πR2Td)72πR2TCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The change in surface energy, when a drop of surface tension T and radius of R splits into 1000 droplets of radius r, isa)4πR2Tb)16πR2Tc)36πR2Td)72πR2TCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The change in surface energy, when a drop of surface tension T and radius of R splits into 1000 droplets of radius r, isa)4πR2Tb)16πR2Tc)36πR2Td)72πR2TCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The change in surface energy, when a drop of surface tension T and radius of R splits into 1000 droplets of radius r, isa)4πR2Tb)16πR2Tc)36πR2Td)72πR2TCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The change in surface energy, when a drop of surface tension T and radius of R splits into 1000 droplets of radius r, isa)4πR2Tb)16πR2Tc)36πR2Td)72πR2TCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev