Class 11 Exam > Class 11 Questions > The volume of a spherical body is decreased b...
Start Learning for Free
The volume of a spherical body is decreased by 10-3% when it is subjected to pressure of 40 atmospheres. Find the bulk modulus of body.
(1 atm = 1.01 x 105 N/m2).
(1 atm = 1.01 x 105 N/m2).
- a)4.04 x 1011 N/m2
- b)4.04 x 106N/m2
- c)4.04 x 103 N/m2
- d)4.04 x 102 N/m2
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The volume of a spherical body is decreased by 10-3% when it is subjec...
We know that magnitude of bulk modulus
K=[P/(dV/V)]
Now, percentage change in volume is. 10-3 %
Therefore, (dV/V)x100=10-3
So, dV/V=10-5
Hence, k is,
K=40atm/10-5=40x1.01x105 /10-5 =4.04x1011 N/m2
K=[P/(dV/V)]
Now, percentage change in volume is. 10-3 %
Therefore, (dV/V)x100=10-3
So, dV/V=10-5
Hence, k is,
K=40atm/10-5=40x1.01x105 /10-5 =4.04x1011 N/m2
Most Upvoted Answer
The volume of a spherical body is decreased by 10-3% when it is subjec...
The bulk modulus is given by,
(The given value of atmospheric pressure is slightly wrong)
Free Test
FREE
| Start Free Test |
Community Answer
The volume of a spherical body is decreased by 10-3% when it is subjec...
To find the bulk modulus of the spherical body, we can use the formula:
Bulk Modulus (K) = -V(dp/dV)
Where:
V = Volume of the body
dp = Change in pressure
dV = Change in volume
Given that the volume of the body decreases by 10^-3% and the pressure is 40 atmospheres, we need to convert the pressure to N/m^2 using the given conversion factor.
1 atm = 1.01 x 10^3 N/m^2
So, 40 atm = 40 x 1.01 x 10^3 N/m^2 = 40.4 x 10^3 N/m^2
Let's calculate the change in volume:
Change in volume (dV) = (10^-3/100) x V
Now, let's substitute the values into the formula to find the bulk modulus:
K = -V(dp/dV) = -V(dP)/(dV/V)
Since dp = 40.4 x 10^3 N/m^2 and dV = (10^-3/100) x V, we can rewrite the formula as:
K = -V(40.4 x 10^3 N/m^2)/(dV/V)
K = -40.4 x 10^3 V/(10^-3 x V)
Simplifying further:
K = -40.4 x 10^3 V x 10^3/V
K = -40.4 x 10^6 N/m^2
Since the bulk modulus is a positive value, we take the magnitude:
Bulk Modulus = 40.4 x 10^6 N/m^2
However, the options provided are not in the same format. We need to convert the answer to scientific notation:
Bulk Modulus = 4.04 x 10^7 N/m^2
The correct answer is option A: 4.04 x 10^7 N/m^2.
Bulk Modulus (K) = -V(dp/dV)
Where:
V = Volume of the body
dp = Change in pressure
dV = Change in volume
Given that the volume of the body decreases by 10^-3% and the pressure is 40 atmospheres, we need to convert the pressure to N/m^2 using the given conversion factor.
1 atm = 1.01 x 10^3 N/m^2
So, 40 atm = 40 x 1.01 x 10^3 N/m^2 = 40.4 x 10^3 N/m^2
Let's calculate the change in volume:
Change in volume (dV) = (10^-3/100) x V
Now, let's substitute the values into the formula to find the bulk modulus:
K = -V(dp/dV) = -V(dP)/(dV/V)
Since dp = 40.4 x 10^3 N/m^2 and dV = (10^-3/100) x V, we can rewrite the formula as:
K = -V(40.4 x 10^3 N/m^2)/(dV/V)
K = -40.4 x 10^3 V/(10^-3 x V)
Simplifying further:
K = -40.4 x 10^3 V x 10^3/V
K = -40.4 x 10^6 N/m^2
Since the bulk modulus is a positive value, we take the magnitude:
Bulk Modulus = 40.4 x 10^6 N/m^2
However, the options provided are not in the same format. We need to convert the answer to scientific notation:
Bulk Modulus = 4.04 x 10^7 N/m^2
The correct answer is option A: 4.04 x 10^7 N/m^2.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Top Courses for Class 11View all
The volume of a spherical body is decreased by 10-3% when it is subjected to pressure of 40 atmospheres. Find the bulk modulus of body.(1 atm = 1.01 x 105N/m2).a)4.04 x 1011N/m2b)4.04 x 106N/m2c)4.04 x 103N/m2d)4.04 x 102N/m2Correct answer is option 'A'. Can you explain this answer?
Question Description
The volume of a spherical body is decreased by 10-3% when it is subjected to pressure of 40 atmospheres. Find the bulk modulus of body.(1 atm = 1.01 x 105N/m2).a)4.04 x 1011N/m2b)4.04 x 106N/m2c)4.04 x 103N/m2d)4.04 x 102N/m2Correct answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The volume of a spherical body is decreased by 10-3% when it is subjected to pressure of 40 atmospheres. Find the bulk modulus of body.(1 atm = 1.01 x 105N/m2).a)4.04 x 1011N/m2b)4.04 x 106N/m2c)4.04 x 103N/m2d)4.04 x 102N/m2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volume of a spherical body is decreased by 10-3% when it is subjected to pressure of 40 atmospheres. Find the bulk modulus of body.(1 atm = 1.01 x 105N/m2).a)4.04 x 1011N/m2b)4.04 x 106N/m2c)4.04 x 103N/m2d)4.04 x 102N/m2Correct answer is option 'A'. Can you explain this answer?.
The volume of a spherical body is decreased by 10-3% when it is subjected to pressure of 40 atmospheres. Find the bulk modulus of body.(1 atm = 1.01 x 105N/m2).a)4.04 x 1011N/m2b)4.04 x 106N/m2c)4.04 x 103N/m2d)4.04 x 102N/m2Correct answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The volume of a spherical body is decreased by 10-3% when it is subjected to pressure of 40 atmospheres. Find the bulk modulus of body.(1 atm = 1.01 x 105N/m2).a)4.04 x 1011N/m2b)4.04 x 106N/m2c)4.04 x 103N/m2d)4.04 x 102N/m2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volume of a spherical body is decreased by 10-3% when it is subjected to pressure of 40 atmospheres. Find the bulk modulus of body.(1 atm = 1.01 x 105N/m2).a)4.04 x 1011N/m2b)4.04 x 106N/m2c)4.04 x 103N/m2d)4.04 x 102N/m2Correct answer is option 'A'. Can you explain this answer?.
Solutions for The volume of a spherical body is decreased by 10-3% when it is subjected to pressure of 40 atmospheres. Find the bulk modulus of body.(1 atm = 1.01 x 105N/m2).a)4.04 x 1011N/m2b)4.04 x 106N/m2c)4.04 x 103N/m2d)4.04 x 102N/m2Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of The volume of a spherical body is decreased by 10-3% when it is subjected to pressure of 40 atmospheres. Find the bulk modulus of body.(1 atm = 1.01 x 105N/m2).a)4.04 x 1011N/m2b)4.04 x 106N/m2c)4.04 x 103N/m2d)4.04 x 102N/m2Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The volume of a spherical body is decreased by 10-3% when it is subjected to pressure of 40 atmospheres. Find the bulk modulus of body.(1 atm = 1.01 x 105N/m2).a)4.04 x 1011N/m2b)4.04 x 106N/m2c)4.04 x 103N/m2d)4.04 x 102N/m2Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The volume of a spherical body is decreased by 10-3% when it is subjected to pressure of 40 atmospheres. Find the bulk modulus of body.(1 atm = 1.01 x 105N/m2).a)4.04 x 1011N/m2b)4.04 x 106N/m2c)4.04 x 103N/m2d)4.04 x 102N/m2Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The volume of a spherical body is decreased by 10-3% when it is subjected to pressure of 40 atmospheres. Find the bulk modulus of body.(1 atm = 1.01 x 105N/m2).a)4.04 x 1011N/m2b)4.04 x 106N/m2c)4.04 x 103N/m2d)4.04 x 102N/m2Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The volume of a spherical body is decreased by 10-3% when it is subjected to pressure of 40 atmospheres. Find the bulk modulus of body.(1 atm = 1.01 x 105N/m2).a)4.04 x 1011N/m2b)4.04 x 106N/m2c)4.04 x 103N/m2d)4.04 x 102N/m2Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 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
|
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