Class 11 Exam > Class 11 Questions > Given that T stands for time period and i sta...
Start Learning for Free
Given that T stands for time period and i stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation T2 = ( i /g) is correct?
- a)It is correct both dimensionally as well as numerically.
- b)It is neither dimensionally correct nor numerically
- c)It is dimensionally correct but not numerically
- d)It is numerically correct but not dimensionally
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Given that T stands for time period and i stands for the length of sim...
Most Upvoted Answer
Given that T stands for time period and i stands for the length of sim...
Dimensional Analysis:
- The equation T^2 = (i/g) represents the relation between the time period (T), the length of the simple pendulum (i), and the acceleration due to gravity (g).
- Dimensionally, the time period T is measured in seconds, the length of the pendulum i is measured in meters, and the acceleration due to gravity g is measured in m/s^2.
- The dimension of T^2 would be seconds squared (s^2), the dimension of i/g would be meters divided by meters per second squared (m/(m/s^2)), which simplifies to seconds squared (s^2).
- Since the dimensions of both sides of the equation match (T^2 = T^2), the relation is dimensionally correct.
Numerical Analysis:
- To check the numerical correctness of the relation T^2 = (i/g), we can substitute numerical values for T, i, and g.
- Let's say T = 2 seconds, i = 1 meter, and g = 9.8 m/s^2 (approximate value of acceleration due to gravity).
- Substituting these values into the equation, we get 2^2 = (1/9.8), which simplifies to 4 = 0.102.
- Since 4 does not equal 0.102, the relation is not numerically correct.
Therefore, the correct statement about the relation T^2 = (i/g) is that it is dimensionally correct but not numerically correct.
- The equation T^2 = (i/g) represents the relation between the time period (T), the length of the simple pendulum (i), and the acceleration due to gravity (g).
- Dimensionally, the time period T is measured in seconds, the length of the pendulum i is measured in meters, and the acceleration due to gravity g is measured in m/s^2.
- The dimension of T^2 would be seconds squared (s^2), the dimension of i/g would be meters divided by meters per second squared (m/(m/s^2)), which simplifies to seconds squared (s^2).
- Since the dimensions of both sides of the equation match (T^2 = T^2), the relation is dimensionally correct.
Numerical Analysis:
- To check the numerical correctness of the relation T^2 = (i/g), we can substitute numerical values for T, i, and g.
- Let's say T = 2 seconds, i = 1 meter, and g = 9.8 m/s^2 (approximate value of acceleration due to gravity).
- Substituting these values into the equation, we get 2^2 = (1/9.8), which simplifies to 4 = 0.102.
- Since 4 does not equal 0.102, the relation is not numerically correct.
Therefore, the correct statement about the relation T^2 = (i/g) is that it is dimensionally correct but not numerically correct.
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
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
Given that T stands for time period and i stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation T2 = ( i /g) is correct?a)It is correct both dimensionally as well as numerically.b)It is neither dimensionally correct nor numericallyc)It is dimensionally correct but not numericallyd)It is numerically correct but not dimensionallyCorrect answer is option 'C'. Can you explain this answer?
Question Description
Given that T stands for time period and i stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation T2 = ( i /g) is correct?a)It is correct both dimensionally as well as numerically.b)It is neither dimensionally correct nor numericallyc)It is dimensionally correct but not numericallyd)It is numerically correct but not dimensionallyCorrect answer is option 'C'. 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 Given that T stands for time period and i stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation T2 = ( i /g) is correct?a)It is correct both dimensionally as well as numerically.b)It is neither dimensionally correct nor numericallyc)It is dimensionally correct but not numericallyd)It is numerically correct but not dimensionallyCorrect answer is option 'C'. 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 Given that T stands for time period and i stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation T2 = ( i /g) is correct?a)It is correct both dimensionally as well as numerically.b)It is neither dimensionally correct nor numericallyc)It is dimensionally correct but not numericallyd)It is numerically correct but not dimensionallyCorrect answer is option 'C'. Can you explain this answer?.
Given that T stands for time period and i stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation T2 = ( i /g) is correct?a)It is correct both dimensionally as well as numerically.b)It is neither dimensionally correct nor numericallyc)It is dimensionally correct but not numericallyd)It is numerically correct but not dimensionallyCorrect answer is option 'C'. 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 Given that T stands for time period and i stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation T2 = ( i /g) is correct?a)It is correct both dimensionally as well as numerically.b)It is neither dimensionally correct nor numericallyc)It is dimensionally correct but not numericallyd)It is numerically correct but not dimensionallyCorrect answer is option 'C'. 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 Given that T stands for time period and i stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation T2 = ( i /g) is correct?a)It is correct both dimensionally as well as numerically.b)It is neither dimensionally correct nor numericallyc)It is dimensionally correct but not numericallyd)It is numerically correct but not dimensionallyCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Given that T stands for time period and i stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation T2 = ( i /g) is correct?a)It is correct both dimensionally as well as numerically.b)It is neither dimensionally correct nor numericallyc)It is dimensionally correct but not numericallyd)It is numerically correct but not dimensionallyCorrect answer is option 'C'. 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 Given that T stands for time period and i stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation T2 = ( i /g) is correct?a)It is correct both dimensionally as well as numerically.b)It is neither dimensionally correct nor numericallyc)It is dimensionally correct but not numericallyd)It is numerically correct but not dimensionallyCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Given that T stands for time period and i stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation T2 = ( i /g) is correct?a)It is correct both dimensionally as well as numerically.b)It is neither dimensionally correct nor numericallyc)It is dimensionally correct but not numericallyd)It is numerically correct but not dimensionallyCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Given that T stands for time period and i stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation T2 = ( i /g) is correct?a)It is correct both dimensionally as well as numerically.b)It is neither dimensionally correct nor numericallyc)It is dimensionally correct but not numericallyd)It is numerically correct but not dimensionallyCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Given that T stands for time period and i stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation T2 = ( i /g) is correct?a)It is correct both dimensionally as well as numerically.b)It is neither dimensionally correct nor numericallyc)It is dimensionally correct but not numericallyd)It is numerically correct but not dimensionallyCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Given that T stands for time period and i stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation T2 = ( i /g) is correct?a)It is correct both dimensionally as well as numerically.b)It is neither dimensionally correct nor numericallyc)It is dimensionally correct but not numericallyd)It is numerically correct but not dimensionallyCorrect answer is option 'C'. 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