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The ratio of the dimensions of Planck’s constant to of the moment of inertia is the dimensions of
- a)angular momentum
- b)velocity
- c)frequency
- d)time
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The ratio of the dimensions of Planck’s constant to of the momen...
The dimensions of Planck’s constant, 
and that moment of inertia. [l] = [M][R]2 = [M][L]2 = [ML2T0]
∴ 
Thus, the ratio of dimensions of Planck’s constant to that at the moment of inertia is the dimensions of frequency.
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Most Upvoted Answer
The ratio of the dimensions of Planck’s constant to of the momen...
Explanation:
Ratio of Planck's constant to dial of moment of inertia can be written as:
[ h / (I x d^2) ]
where h is Planck's constant, I is moment of inertia and d is the diameter of the dial.
The dimensions of Planck's constant are given by [M L^2 T^-1], while the dimensions of the product of moment of inertia and diameter squared are [M L^2].
Therefore, the ratio of the two is:
[M L^2 T^-1] / [M L^2] = [T^-1]
Hence, the dimensions of the ratio is time^-1 or frequency. Therefore, option C is the correct answer.
Ratio of Planck's constant to dial of moment of inertia can be written as:
[ h / (I x d^2) ]
where h is Planck's constant, I is moment of inertia and d is the diameter of the dial.
The dimensions of Planck's constant are given by [M L^2 T^-1], while the dimensions of the product of moment of inertia and diameter squared are [M L^2].
Therefore, the ratio of the two is:
[M L^2 T^-1] / [M L^2] = [T^-1]
Hence, the dimensions of the ratio is time^-1 or frequency. Therefore, option C is the correct answer.
Community Answer
The ratio of the dimensions of Planck’s constant to of the momen...
Explanation:
Planck’s constant and moment of inertia are both physical quantities with different dimensions. The ratio of their dimensions gives us the dimension of a new physical quantity.
The dimensions of Planck’s constant are [energy][time], while the dimensions of moment of inertia are [mass][length]^2. Therefore, their ratio is:
[h]/[I] = ([energy][time])/([mass][length]^2)
Simplifying this expression, we get:
[h]/[I] = [energy]/([mass][length]^2][time]
The dimension of [energy]/[time] is frequency, and the dimension of [mass][length]^2 is moment of inertia. Therefore, we can conclude that the dimension of [h]/[I] is frequency.
Answer: C) frequency
Planck’s constant and moment of inertia are both physical quantities with different dimensions. The ratio of their dimensions gives us the dimension of a new physical quantity.
The dimensions of Planck’s constant are [energy][time], while the dimensions of moment of inertia are [mass][length]^2. Therefore, their ratio is:
[h]/[I] = ([energy][time])/([mass][length]^2)
Simplifying this expression, we get:
[h]/[I] = [energy]/([mass][length]^2][time]
The dimension of [energy]/[time] is frequency, and the dimension of [mass][length]^2 is moment of inertia. Therefore, we can conclude that the dimension of [h]/[I] is frequency.
Answer: C) frequency
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The ratio of the dimensions of Planck’s constant to of the moment of inertia is the dimensions ofa)angular momentumb)velocityc)frequencyd)timeCorrect answer is option 'C'. Can you explain this answer?
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The ratio of the dimensions of Planck’s constant to of the moment of inertia is the dimensions ofa)angular momentumb)velocityc)frequencyd)timeCorrect answer is option 'C'. 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 The ratio of the dimensions of Planck’s constant to of the moment of inertia is the dimensions ofa)angular momentumb)velocityc)frequencyd)timeCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the dimensions of Planck’s constant to of the moment of inertia is the dimensions ofa)angular momentumb)velocityc)frequencyd)timeCorrect answer is option 'C'. Can you explain this answer?.
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