NEET Exam > NEET Questions > 6. The velocity of a small ball of mass M and...
Start Learning for Free
6. The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 2 d , then the viscous force acting on the ball will be (1) 2Mg (2) 2 Mg (3) Mg (4) 3 2 Mg?
Most Upvoted Answer
6. The velocity of a small ball of mass M and density d, when dropped ...
Answer:
Concept: Viscous force acting on an object moving through a fluid is given by Stoke's law, which states that the force is proportional to the velocity of the object and the viscosity of the fluid.
Given:
- Mass of small ball = M
- Density of small ball = d
- Density of glycerine = 2d
- Velocity of small ball becomes constant after some time
To find: Viscous force acting on the ball
Solution:
1. Let's first find the buoyant force acting on the ball.
Buoyant force (Fb) = Weight of fluid displaced by the ball
= Volume of ball x Density of fluid x Acceleration due to gravity
= (4/3)πr³ x 2d x g [as density of glycerine = 2d]
= (8/3)πr³d g
2. Now, let's find the weight of the ball.
Weight of ball (Fw) = Mass of ball x Acceleration due to gravity
= Mg
3. Since the ball is moving at a constant velocity through the fluid, the viscous force (Fv) acting on the ball is equal and opposite to the sum of buoyant force and weight of the ball.
Fv = Fb + Fw
4. Substituting the values of Fb and Fw, we get
Fv = (8/3)πr³d g + Mg
5. Therefore, the viscous force acting on the ball is given by option (4) 3/2 Mg.
Final Answer: The viscous force acting on the ball is 3/2 Mg.
Concept: Viscous force acting on an object moving through a fluid is given by Stoke's law, which states that the force is proportional to the velocity of the object and the viscosity of the fluid.
Given:
- Mass of small ball = M
- Density of small ball = d
- Density of glycerine = 2d
- Velocity of small ball becomes constant after some time
To find: Viscous force acting on the ball
Solution:
1. Let's first find the buoyant force acting on the ball.
Buoyant force (Fb) = Weight of fluid displaced by the ball
= Volume of ball x Density of fluid x Acceleration due to gravity
= (4/3)πr³ x 2d x g [as density of glycerine = 2d]
= (8/3)πr³d g
2. Now, let's find the weight of the ball.
Weight of ball (Fw) = Mass of ball x Acceleration due to gravity
= Mg
3. Since the ball is moving at a constant velocity through the fluid, the viscous force (Fv) acting on the ball is equal and opposite to the sum of buoyant force and weight of the ball.
Fv = Fb + Fw
4. Substituting the values of Fb and Fw, we get
Fv = (8/3)πr³d g + Mg
5. Therefore, the viscous force acting on the ball is given by option (4) 3/2 Mg.
Final Answer: The viscous force acting on the ball is 3/2 Mg.
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
|
|
Top Courses for NEETView all
6. The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 2 d , then the viscous force acting on the ball will be (1) 2Mg (2) 2 Mg (3) Mg (4) 3 2 Mg?
Question Description
6. The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 2 d , then the viscous force acting on the ball will be (1) 2Mg (2) 2 Mg (3) Mg (4) 3 2 Mg? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 6. The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 2 d , then the viscous force acting on the ball will be (1) 2Mg (2) 2 Mg (3) Mg (4) 3 2 Mg? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6. The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 2 d , then the viscous force acting on the ball will be (1) 2Mg (2) 2 Mg (3) Mg (4) 3 2 Mg?.
6. The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 2 d , then the viscous force acting on the ball will be (1) 2Mg (2) 2 Mg (3) Mg (4) 3 2 Mg? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 6. The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 2 d , then the viscous force acting on the ball will be (1) 2Mg (2) 2 Mg (3) Mg (4) 3 2 Mg? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6. The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 2 d , then the viscous force acting on the ball will be (1) 2Mg (2) 2 Mg (3) Mg (4) 3 2 Mg?.
Solutions for 6. The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 2 d , then the viscous force acting on the ball will be (1) 2Mg (2) 2 Mg (3) Mg (4) 3 2 Mg? 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 6. The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 2 d , then the viscous force acting on the ball will be (1) 2Mg (2) 2 Mg (3) Mg (4) 3 2 Mg? defined & explained in the simplest way possible. Besides giving the explanation of
6. The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 2 d , then the viscous force acting on the ball will be (1) 2Mg (2) 2 Mg (3) Mg (4) 3 2 Mg?, a detailed solution for 6. The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 2 d , then the viscous force acting on the ball will be (1) 2Mg (2) 2 Mg (3) Mg (4) 3 2 Mg? has been provided alongside types of 6. The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 2 d , then the viscous force acting on the ball will be (1) 2Mg (2) 2 Mg (3) Mg (4) 3 2 Mg? theory, EduRev gives you an
ample number of questions to practice 6. The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is 2 d , then the viscous force acting on the ball will be (1) 2Mg (2) 2 Mg (3) Mg (4) 3 2 Mg? 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