NEET Exam > NEET Questions > If density of earth increased 4 times and its...
Start Learning for Free
If density of earth increased 4 times and its radius become half of what it is, our weight will
- a)Be four times its present value
- b)Be doubled
- c)Remain same
- d)Be halved
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If density of earth increased 4 times and its radius become half of wh...
Free Test
FREE
| Start Free Test |
Community Answer
If density of earth increased 4 times and its radius become half of wh...
The weight of an object is given by the equation W=mg, where W is the weight, m is the mass of the object, and g is the acceleration due to gravity.
Effect of Increase in Density
If the density of the Earth increases 4 times, then the mass of the Earth will also increase by a factor of 4. This is because density is mass per unit volume, and if the density increases, then the mass must also increase to maintain the same volume.
Effect of Decrease in Radius
If the radius of the Earth becomes half of what it is, then the distance between the center of the Earth and the object on its surface will also decrease by a factor of 2. This means that the gravitational force acting on the object will increase by a factor of 4. This is because the force of gravity is inversely proportional to the square of the distance between the two objects.
Combining the Effects
If we combine the effect of the increase in density and the decrease in radius, we can calculate the new weight of an object on the surface of the Earth using the equation W=mg.
Since the mass of the Earth has increased by a factor of 4, the value of g will also increase by a factor of 4.
Since the distance between the center of the Earth and the object on its surface has decreased by a factor of 2, the value of g will also increase by a factor of 4.
Therefore, the weight of an object on the surface of the Earth will be doubled if the density of the Earth increases 4 times and its radius becomes half of what it is.
Hence, the correct answer is option 'B'.
Effect of Increase in Density
If the density of the Earth increases 4 times, then the mass of the Earth will also increase by a factor of 4. This is because density is mass per unit volume, and if the density increases, then the mass must also increase to maintain the same volume.
Effect of Decrease in Radius
If the radius of the Earth becomes half of what it is, then the distance between the center of the Earth and the object on its surface will also decrease by a factor of 2. This means that the gravitational force acting on the object will increase by a factor of 4. This is because the force of gravity is inversely proportional to the square of the distance between the two objects.
Combining the Effects
If we combine the effect of the increase in density and the decrease in radius, we can calculate the new weight of an object on the surface of the Earth using the equation W=mg.
Since the mass of the Earth has increased by a factor of 4, the value of g will also increase by a factor of 4.
Since the distance between the center of the Earth and the object on its surface has decreased by a factor of 2, the value of g will also increase by a factor of 4.
Therefore, the weight of an object on the surface of the Earth will be doubled if the density of the Earth increases 4 times and its radius becomes half of what it is.
Hence, the correct answer is option 'B'.
|
Explore Courses for NEET exam
|
|
Top Courses for NEETView all
Question Description
If density of earth increased 4 times and its radius become half of what it is, our weight willa)Be four times its present valueb)Be doubledc)Remain samed)Be halvedCorrect answer is option 'B'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If density of earth increased 4 times and its radius become half of what it is, our weight willa)Be four times its present valueb)Be doubledc)Remain samed)Be halvedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If density of earth increased 4 times and its radius become half of what it is, our weight willa)Be four times its present valueb)Be doubledc)Remain samed)Be halvedCorrect answer is option 'B'. Can you explain this answer?.
If density of earth increased 4 times and its radius become half of what it is, our weight willa)Be four times its present valueb)Be doubledc)Remain samed)Be halvedCorrect answer is option 'B'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If density of earth increased 4 times and its radius become half of what it is, our weight willa)Be four times its present valueb)Be doubledc)Remain samed)Be halvedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If density of earth increased 4 times and its radius become half of what it is, our weight willa)Be four times its present valueb)Be doubledc)Remain samed)Be halvedCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If density of earth increased 4 times and its radius become half of what it is, our weight willa)Be four times its present valueb)Be doubledc)Remain samed)Be halvedCorrect answer is option 'B'. 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 If density of earth increased 4 times and its radius become half of what it is, our weight willa)Be four times its present valueb)Be doubledc)Remain samed)Be halvedCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If density of earth increased 4 times and its radius become half of what it is, our weight willa)Be four times its present valueb)Be doubledc)Remain samed)Be halvedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If density of earth increased 4 times and its radius become half of what it is, our weight willa)Be four times its present valueb)Be doubledc)Remain samed)Be halvedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If density of earth increased 4 times and its radius become half of what it is, our weight willa)Be four times its present valueb)Be doubledc)Remain samed)Be halvedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If density of earth increased 4 times and its radius become half of what it is, our weight willa)Be four times its present valueb)Be doubledc)Remain samed)Be halvedCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET 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
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily