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Identify the pair of physical quantities that have same dimensions.
- a)Velocity gradient and decay constant
- b)Wien's constant and Stefan constant
- c)Angular frequency and angular momentum
- d)Wave number and Avogadro number
Correct answer is option 'A'. Can you explain this answer?
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Identify the pair of physical quantities that have same dimensions.a)V...
Decay constant λ has dimensions of [T-1] because of the relation dN/dt = -λN.
⇒ Velocity gradient and decay constant have same dimensions.
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Identify the pair of physical quantities that have same dimensions.a)V...
Velocity gradient and decay constant
The dimensions of a physical quantity are the powers to which the fundamental units of mass, length, and time must be raised in order to express that quantity. When two physical quantities have the same dimensions, it means that they can be expressed using the same fundamental units.
Velocity gradient is a measure of how the velocity of a fluid changes with respect to a change in position. It is defined as the rate of change of velocity with respect to distance. The dimensions of velocity gradient are [L^-1], where L represents length.
Decay constant is a characteristic parameter used to describe the exponential decay of a quantity over time. It is commonly used in physics, chemistry, and other fields to describe processes that undergo exponential decay. The dimensions of decay constant are [T^-1], where T represents time.
Since the dimensions of velocity gradient are [L^-1] and the dimensions of decay constant are [T^-1], we can see that they have the same dimensions. This means that velocity gradient and decay constant can be expressed using the same fundamental units of length and time.
In conclusion, the pair of physical quantities that have the same dimensions is velocity gradient and decay constant.
The dimensions of a physical quantity are the powers to which the fundamental units of mass, length, and time must be raised in order to express that quantity. When two physical quantities have the same dimensions, it means that they can be expressed using the same fundamental units.
Velocity gradient is a measure of how the velocity of a fluid changes with respect to a change in position. It is defined as the rate of change of velocity with respect to distance. The dimensions of velocity gradient are [L^-1], where L represents length.
Decay constant is a characteristic parameter used to describe the exponential decay of a quantity over time. It is commonly used in physics, chemistry, and other fields to describe processes that undergo exponential decay. The dimensions of decay constant are [T^-1], where T represents time.
Since the dimensions of velocity gradient are [L^-1] and the dimensions of decay constant are [T^-1], we can see that they have the same dimensions. This means that velocity gradient and decay constant can be expressed using the same fundamental units of length and time.
In conclusion, the pair of physical quantities that have the same dimensions is velocity gradient and decay constant.
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Identify the pair of physical quantities that have same dimensions.a)Velocity gradient and decay constantb)Wiens constant and Stefan constantc)Angular frequency and angular momentumd)Wave number and Avogadro numberCorrect answer is option 'A'. Can you explain this answer?
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Identify the pair of physical quantities that have same dimensions.a)Velocity gradient and decay constantb)Wiens constant and Stefan constantc)Angular frequency and angular momentumd)Wave number and Avogadro numberCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Identify the pair of physical quantities that have same dimensions.a)Velocity gradient and decay constantb)Wiens constant and Stefan constantc)Angular frequency and angular momentumd)Wave number and Avogadro numberCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Identify the pair of physical quantities that have same dimensions.a)Velocity gradient and decay constantb)Wiens constant and Stefan constantc)Angular frequency and angular momentumd)Wave number and Avogadro numberCorrect answer is option 'A'. Can you explain this answer?.
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