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Planck's constant has the dimensions of :
  • a)
    force
  • b)
    energy
  • c)
    linear momentum
  • d)
    angular momentum
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Planck's constant has the dimensions of :a)forceb)energyc)linear m...
We know that E = hv , where E is energy and v is frequency.
Thus we get h = E/v
And [h] = [E/v] = ML2T-2 / T-1
= ML2T-1
[P] = MLT-1
[F] = MLT-2
[Angular momentum] = [P x r] = ML2T-1
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Most Upvoted Answer
Planck's constant has the dimensions of :a)forceb)energyc)linear m...
We know that E=hν
where dimensions of Energy, E are ML2T−2 and dimensions of frequency are inverse of Time Period, i.e. T−1
Thus, ML2T−2=[h]T−1
or, [h]=ML2T−1
Now, angular momentum, L=Iω
where units of omega are inverse of time (rad/sec, where radian is dimensionless).
Units of I are ML2 (because I is of the form kMx2)
Thus [L]=ML2T−1
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Community Answer
Planck's constant has the dimensions of :a)forceb)energyc)linear m...
We know that E = hv , where E is energy and v is frequency.
Thus we get h = E/v
And [h] = [E/v] = ML2T-2 / T-1
= ML2T-1
[P] = MLT-1
[F] = MLT-2
[Angular momentum] = [P x r] = ML2T-1
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Planck's constant has the dimensions of :a)forceb)energyc)linear momentumd)angular momentumCorrect answer is option 'D'. Can you explain this answer?
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