Class 9 Exam > Class 9 Questions > The ratio of the heights from which two bodie...
Start Learning for Free
The ratio of the heights from which two bodies are dropped is 3:5 respectively. The ratio of their final velocities is:
- a)9 : 25
- b)√ 3 : √ 5
- c)5 : 3
- d)√5 : √3
Correct answer is 'B'. Can you explain this answer?
Verified Answer
The ratio of the heights from which two bodies are dropped is 3:5 resp...
Velocity acquired by the two bodies falling from rest through a distance h is given as: v =
This question is part of UPSC exam. View all Class 9 courses
Most Upvoted Answer
The ratio of the heights from which two bodies are dropped is 3:5 resp...
Given:
Ratio of heights = 3:5
Let the heights be 3x and 5x respectively.
To find:
Ratio of final velocities
Solution:
The velocity with which a body falls from a height is given by the formula:
v² = u² + 2gh
Where,
v = final velocity
u = initial velocity (which is 0 in this case)
g = acceleration due to gravity
h = height
Since both the bodies are falling under the same acceleration due to gravity, we can write the above formula for both the bodies and compare the ratios:
For body 1:
v₁² = 2gh₁
v₁ = √(2gh₁)
For body 2:
v₂² = 2gh₂
v₂ = √(2gh₂)
We know that h₂/h₁ = 5/3 (given)
Therefore, h₂ = 5x and h₁ = 3x
Substituting the values of h₁ and h₂ in the above equations, we get:
v₁ = √(2g*3x) = √(6gx)
v₂ = √(2g*5x) = √(10gx)
Dividing v₂ by v₁, we get:
v₂/v₁ = √(10gx)/√(6gx) = √(10/6) = √(5/3)
Thus, the ratio of final velocities is 5:3, which is option B.
Ratio of heights = 3:5
Let the heights be 3x and 5x respectively.
To find:
Ratio of final velocities
Solution:
The velocity with which a body falls from a height is given by the formula:
v² = u² + 2gh
Where,
v = final velocity
u = initial velocity (which is 0 in this case)
g = acceleration due to gravity
h = height
Since both the bodies are falling under the same acceleration due to gravity, we can write the above formula for both the bodies and compare the ratios:
For body 1:
v₁² = 2gh₁
v₁ = √(2gh₁)
For body 2:
v₂² = 2gh₂
v₂ = √(2gh₂)
We know that h₂/h₁ = 5/3 (given)
Therefore, h₂ = 5x and h₁ = 3x
Substituting the values of h₁ and h₂ in the above equations, we get:
v₁ = √(2g*3x) = √(6gx)
v₂ = √(2g*5x) = √(10gx)
Dividing v₂ by v₁, we get:
v₂/v₁ = √(10gx)/√(6gx) = √(10/6) = √(5/3)
Thus, the ratio of final velocities is 5:3, which is option B.
Community Answer
The ratio of the heights from which two bodies are dropped is 3:5 resp...
For anything drop from certain height initial velocity (u)=0 so use equation v^2=u^2+2as here (a) is gravity that is (g)=10 now use this equation v^2=2gh because in above equation we take (u)=o
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
The ratio of the heights from which two bodies are dropped is 3:5 respectively. The ratio of their final velocities is:a)9 : 25b)√ 3 : √ 5c)5 : 3d)√5 : √3Correct answer is 'B'. Can you explain this answer?
Question Description
The ratio of the heights from which two bodies are dropped is 3:5 respectively. The ratio of their final velocities is:a)9 : 25b)√ 3 : √ 5c)5 : 3d)√5 : √3Correct answer is 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The ratio of the heights from which two bodies are dropped is 3:5 respectively. The ratio of their final velocities is:a)9 : 25b)√ 3 : √ 5c)5 : 3d)√5 : √3Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the heights from which two bodies are dropped is 3:5 respectively. The ratio of their final velocities is:a)9 : 25b)√ 3 : √ 5c)5 : 3d)√5 : √3Correct answer is 'B'. Can you explain this answer?.
The ratio of the heights from which two bodies are dropped is 3:5 respectively. The ratio of their final velocities is:a)9 : 25b)√ 3 : √ 5c)5 : 3d)√5 : √3Correct answer is 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The ratio of the heights from which two bodies are dropped is 3:5 respectively. The ratio of their final velocities is:a)9 : 25b)√ 3 : √ 5c)5 : 3d)√5 : √3Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the heights from which two bodies are dropped is 3:5 respectively. The ratio of their final velocities is:a)9 : 25b)√ 3 : √ 5c)5 : 3d)√5 : √3Correct answer is 'B'. Can you explain this answer?.
Solutions for The ratio of the heights from which two bodies are dropped is 3:5 respectively. The ratio of their final velocities is:a)9 : 25b)√ 3 : √ 5c)5 : 3d)√5 : √3Correct answer is 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of The ratio of the heights from which two bodies are dropped is 3:5 respectively. The ratio of their final velocities is:a)9 : 25b)√ 3 : √ 5c)5 : 3d)√5 : √3Correct answer is 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The ratio of the heights from which two bodies are dropped is 3:5 respectively. The ratio of their final velocities is:a)9 : 25b)√ 3 : √ 5c)5 : 3d)√5 : √3Correct answer is 'B'. Can you explain this answer?, a detailed solution for The ratio of the heights from which two bodies are dropped is 3:5 respectively. The ratio of their final velocities is:a)9 : 25b)√ 3 : √ 5c)5 : 3d)√5 : √3Correct answer is 'B'. Can you explain this answer? has been provided alongside types of The ratio of the heights from which two bodies are dropped is 3:5 respectively. The ratio of their final velocities is:a)9 : 25b)√ 3 : √ 5c)5 : 3d)√5 : √3Correct answer is 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The ratio of the heights from which two bodies are dropped is 3:5 respectively. The ratio of their final velocities is:a)9 : 25b)√ 3 : √ 5c)5 : 3d)√5 : √3Correct answer is 'B'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 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