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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?
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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.
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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?
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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?.
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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.
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