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Which of the following pairs have same dimensions :
- a)Torque and work
- b)Angular momentum and work
- c)Light year and work
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Which of the following pairs have same dimensions :a)Torque and workb)...
Torque = Work = Energy =[ML2T-2]
Most Upvoted Answer
Which of the following pairs have same dimensions :a)Torque and workb)...
Dimensions of Physical Quantities
Before we proceed with the explanation, it is important to understand what dimensions of physical quantities are. Dimensions of physical quantities refer to the physical nature of a quantity and its units.
For example, the dimensions of length are L, and its units can be meters, kilometers, or any other unit of length. Similarly, the dimensions of mass are M, and its units can be kilograms, grams, or any other unit of mass.
Pairs with Same Dimensions
Now let's look at the options given in the question and identify the pairs that have the same dimensions:
a) Torque and work: Both torque and work have the same dimensions of ML2T-2 (where M stands for mass, L stands for length, and T stands for time). Therefore, option A is correct.
b) Angular momentum and work: The dimensions of angular momentum are ML2T-1, while the dimensions of work are ML2T-2. Therefore, option B is incorrect.
c) Light year and wavelength: The dimensions of light year are L, while the dimensions of wavelength are L. Therefore, option C is correct.
d) None of these: As we have identified in options A and C, there are pairs of quantities that have the same dimensions. Therefore, option D is incorrect.
Conclusion
In summary, torque and work, as well as light year and wavelength, have the same dimensions. Angular momentum and work do not have the same dimensions.
Before we proceed with the explanation, it is important to understand what dimensions of physical quantities are. Dimensions of physical quantities refer to the physical nature of a quantity and its units.
For example, the dimensions of length are L, and its units can be meters, kilometers, or any other unit of length. Similarly, the dimensions of mass are M, and its units can be kilograms, grams, or any other unit of mass.
Pairs with Same Dimensions
Now let's look at the options given in the question and identify the pairs that have the same dimensions:
a) Torque and work: Both torque and work have the same dimensions of ML2T-2 (where M stands for mass, L stands for length, and T stands for time). Therefore, option A is correct.
b) Angular momentum and work: The dimensions of angular momentum are ML2T-1, while the dimensions of work are ML2T-2. Therefore, option B is incorrect.
c) Light year and wavelength: The dimensions of light year are L, while the dimensions of wavelength are L. Therefore, option C is correct.
d) None of these: As we have identified in options A and C, there are pairs of quantities that have the same dimensions. Therefore, option D is incorrect.
Conclusion
In summary, torque and work, as well as light year and wavelength, have the same dimensions. Angular momentum and work do not have the same dimensions.
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Community Answer
Which of the following pairs have same dimensions :a)Torque and workb)...
A nd C..... torque=force ×perpendicular distance work=force×displacement
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Which of the following pairs have same dimensions :a)Torque and workb)Angular momentum and workc)Light year and workd)None of theseCorrect answer is option 'A'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Which of the following pairs have same dimensions :a)Torque and workb)Angular momentum and workc)Light year and workd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following pairs have same dimensions :a)Torque and workb)Angular momentum and workc)Light year and workd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Which of the following pairs have same dimensions :a)Torque and workb)Angular momentum and workc)Light year and workd)None of theseCorrect answer is option 'A'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Which of the following pairs have same dimensions :a)Torque and workb)Angular momentum and workc)Light year and workd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following pairs have same dimensions :a)Torque and workb)Angular momentum and workc)Light year and workd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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