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The pair of quantities having same dimensions is [NEET Kar. 2013]
- a)Young’s modulus and energy
- b)impulse and surface tension
- c)angular momentum and work
- d)work and torque
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The pair of quantities having same dimensions is [NEET Kar. 2013]a)You...
Work = Force × displacement Torque = Force × force arm
= mass × acceleration × length
= [M] × [LT–2] × [L] = [M L2T–2]
Most Upvoted Answer
The pair of quantities having same dimensions is [NEET Kar. 2013]a)You...
Understanding Dimensions of Physical Quantities
In physics, quantities can be compared based on their dimensions, which represent their fundamental properties. Let's analyze the options provided in the question to determine which pair has the same dimensions.
Work
- Work is defined as the product of force and displacement.
- The dimensional formula for work is [M L² T⁻²], where:
- M = mass
- L = length
- T = time
Torque
- Torque is defined as the product of force and the perpendicular distance from the pivot point to the line of action of the force.
- The dimensional formula for torque is also [M L² T⁻²] since it involves force (which has the same dimensions as work) and distance.
Comparative Analysis of Other Options
- Young’s Modulus and Energy:
- Young’s modulus has dimensions of [M L⁻¹ T⁻²], while energy (like work) has [M L² T⁻²]. Hence, they are not the same.
- Impulse and Surface Tension:
- Impulse has dimensions [M L T⁻¹], while surface tension has dimensions [M T⁻²]. Therefore, they differ in dimensions.
- Angular Momentum and Work:
- Angular momentum has dimensions [M L² T⁻¹], while work has [M L² T⁻²]. They are not equal.
Conclusion
The correct answer is option 'D', as both work and torque share the same dimensional formula of [M L² T⁻²]. This fundamental similarity makes them comparable in terms of their physical properties and applications in physics.
In physics, quantities can be compared based on their dimensions, which represent their fundamental properties. Let's analyze the options provided in the question to determine which pair has the same dimensions.
Work
- Work is defined as the product of force and displacement.
- The dimensional formula for work is [M L² T⁻²], where:
- M = mass
- L = length
- T = time
Torque
- Torque is defined as the product of force and the perpendicular distance from the pivot point to the line of action of the force.
- The dimensional formula for torque is also [M L² T⁻²] since it involves force (which has the same dimensions as work) and distance.
Comparative Analysis of Other Options
- Young’s Modulus and Energy:
- Young’s modulus has dimensions of [M L⁻¹ T⁻²], while energy (like work) has [M L² T⁻²]. Hence, they are not the same.
- Impulse and Surface Tension:
- Impulse has dimensions [M L T⁻¹], while surface tension has dimensions [M T⁻²]. Therefore, they differ in dimensions.
- Angular Momentum and Work:
- Angular momentum has dimensions [M L² T⁻¹], while work has [M L² T⁻²]. They are not equal.
Conclusion
The correct answer is option 'D', as both work and torque share the same dimensional formula of [M L² T⁻²]. This fundamental similarity makes them comparable in terms of their physical properties and applications in physics.
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The pair of quantities having same dimensions is [NEET Kar. 2013]a)Young’s modulus and energyb)impulse and surface tensionc)angular momentum and workd)work and torqueCorrect answer is option 'D'. 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 The pair of quantities having same dimensions is [NEET Kar. 2013]a)Young’s modulus and energyb)impulse and surface tensionc)angular momentum and workd)work and torqueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The pair of quantities having same dimensions is [NEET Kar. 2013]a)Young’s modulus and energyb)impulse and surface tensionc)angular momentum and workd)work and torqueCorrect answer is option 'D'. Can you explain this answer?.
The pair of quantities having same dimensions is [NEET Kar. 2013]a)Young’s modulus and energyb)impulse and surface tensionc)angular momentum and workd)work and torqueCorrect answer is option 'D'. 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 The pair of quantities having same dimensions is [NEET Kar. 2013]a)Young’s modulus and energyb)impulse and surface tensionc)angular momentum and workd)work and torqueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The pair of quantities having same dimensions is [NEET Kar. 2013]a)Young’s modulus and energyb)impulse and surface tensionc)angular momentum and workd)work and torqueCorrect answer is option 'D'. Can you explain this answer?.
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