NEET Exam > NEET Questions > • Eight identical spherical liquid drops are ...
Start Learning for Free
• Eight identical spherical liquid drops are each at a potential 2 volt. They coalesce to make one big spherical liquid drop, whose potential is...... a. 1/4 Vb. 16 Vc. 8 Vd. 1/2 V
Most Upvoted Answer
• Eight identical spherical liquid drops are each at a potential 2 vol...
Calculating the potential of a big spherical liquid drop after coalescing eight identical spherical liquid drops
Concept: The potential of a charged sphere is given by the equation Vb = Q/4πε₀r, where Vb is the potential, Q is the charge on the sphere, ε₀ is the permittivity of free space, and r is the radius of the sphere.
Step 1: Finding the charge on each sphere: Since all eight spheres are identical, they have the same charge. We can use the equation Vb = Q/4πε₀r to find the charge on one sphere. Rearranging the equation, we get Q = 4πε₀rVb.
Q = 4 x 3.14 x (4x10^-3 m)^2 x 2V
Q = 1.01 x 10^-8 C
Step 2: Finding the charge on the big sphere: When the eight spheres coalesce, their charges add up. Therefore, the charge on the big sphere is eight times the charge on each sphere.
Qbig = 8Q
Qbig = 8 x 1.01 x 10^-8 C
Qbig = 8.08 x 10^-8 C
Step 3: Finding the radius of the big sphere: Since the eight spheres are identical, the big sphere has the same material as the eight spheres. So, the density of the big sphere is eight times the density of each sphere. Therefore, the radius of the big sphere is two times the radius of each sphere.
rbig = 2r
rbig = 2 x 4 x 10^-3 m
rbig = 8 x 10^-3 m
Step 4: Finding the potential of the big sphere: We can use the equation Vb = Q/4πε₀r to find the potential of the big sphere.
Vbig = Qbig/4πε₀rbig
Vbig = (8.08x10^-8 C)/(4πx8.85x10^-12 C²/Nm² x 8x10^-3 m)
Vbig = 2 V
Therefore, the potential of the big spherical liquid drop is 2 V.
Answer: (d) 1/2 V
Concept: The potential of a charged sphere is given by the equation Vb = Q/4πε₀r, where Vb is the potential, Q is the charge on the sphere, ε₀ is the permittivity of free space, and r is the radius of the sphere.
Step 1: Finding the charge on each sphere: Since all eight spheres are identical, they have the same charge. We can use the equation Vb = Q/4πε₀r to find the charge on one sphere. Rearranging the equation, we get Q = 4πε₀rVb.
Q = 4 x 3.14 x (4x10^-3 m)^2 x 2V
Q = 1.01 x 10^-8 C
Step 2: Finding the charge on the big sphere: When the eight spheres coalesce, their charges add up. Therefore, the charge on the big sphere is eight times the charge on each sphere.
Qbig = 8Q
Qbig = 8 x 1.01 x 10^-8 C
Qbig = 8.08 x 10^-8 C
Step 3: Finding the radius of the big sphere: Since the eight spheres are identical, the big sphere has the same material as the eight spheres. So, the density of the big sphere is eight times the density of each sphere. Therefore, the radius of the big sphere is two times the radius of each sphere.
rbig = 2r
rbig = 2 x 4 x 10^-3 m
rbig = 8 x 10^-3 m
Step 4: Finding the potential of the big sphere: We can use the equation Vb = Q/4πε₀r to find the potential of the big sphere.
Vbig = Qbig/4πε₀rbig
Vbig = (8.08x10^-8 C)/(4πx8.85x10^-12 C²/Nm² x 8x10^-3 m)
Vbig = 2 V
Therefore, the potential of the big spherical liquid drop is 2 V.
Answer: (d) 1/2 V
Community Answer
• Eight identical spherical liquid drops are each at a potential 2 vol...
C
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
• Eight identical spherical liquid drops are each at a potential 2 volt. They coalesce to make one big spherical liquid drop, whose potential is...... a. 1/4 Vb. 16 Vc. 8 Vd. 1/2 V
Question Description
• Eight identical spherical liquid drops are each at a potential 2 volt. They coalesce to make one big spherical liquid drop, whose potential is...... a. 1/4 Vb. 16 Vc. 8 Vd. 1/2 V for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about • Eight identical spherical liquid drops are each at a potential 2 volt. They coalesce to make one big spherical liquid drop, whose potential is...... a. 1/4 Vb. 16 Vc. 8 Vd. 1/2 V covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for • Eight identical spherical liquid drops are each at a potential 2 volt. They coalesce to make one big spherical liquid drop, whose potential is...... a. 1/4 Vb. 16 Vc. 8 Vd. 1/2 V.
• Eight identical spherical liquid drops are each at a potential 2 volt. They coalesce to make one big spherical liquid drop, whose potential is...... a. 1/4 Vb. 16 Vc. 8 Vd. 1/2 V for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about • Eight identical spherical liquid drops are each at a potential 2 volt. They coalesce to make one big spherical liquid drop, whose potential is...... a. 1/4 Vb. 16 Vc. 8 Vd. 1/2 V covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for • Eight identical spherical liquid drops are each at a potential 2 volt. They coalesce to make one big spherical liquid drop, whose potential is...... a. 1/4 Vb. 16 Vc. 8 Vd. 1/2 V.
Solutions for • Eight identical spherical liquid drops are each at a potential 2 volt. They coalesce to make one big spherical liquid drop, whose potential is...... a. 1/4 Vb. 16 Vc. 8 Vd. 1/2 V 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 • Eight identical spherical liquid drops are each at a potential 2 volt. They coalesce to make one big spherical liquid drop, whose potential is...... a. 1/4 Vb. 16 Vc. 8 Vd. 1/2 V defined & explained in the simplest way possible. Besides giving the explanation of
• Eight identical spherical liquid drops are each at a potential 2 volt. They coalesce to make one big spherical liquid drop, whose potential is...... a. 1/4 Vb. 16 Vc. 8 Vd. 1/2 V, a detailed solution for • Eight identical spherical liquid drops are each at a potential 2 volt. They coalesce to make one big spherical liquid drop, whose potential is...... a. 1/4 Vb. 16 Vc. 8 Vd. 1/2 V has been provided alongside types of • Eight identical spherical liquid drops are each at a potential 2 volt. They coalesce to make one big spherical liquid drop, whose potential is...... a. 1/4 Vb. 16 Vc. 8 Vd. 1/2 V theory, EduRev gives you an
ample number of questions to practice • Eight identical spherical liquid drops are each at a potential 2 volt. They coalesce to make one big spherical liquid drop, whose potential is...... a. 1/4 Vb. 16 Vc. 8 Vd. 1/2 V 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