Given below are two statements : Statement (I) : The dimensions of Planck's constant and angular momentum are same. Statement (II) : In Bohr's model electron revolve around the nucleus only

Question

Given below are two statements :
Statement (I) : The dimensions of Planck's constant and angular momentum are same.
Statement (II) : In Bohr's model electron revolve around the nucleus only in those orbits for which angular momentum is integral multiple of Planck's constant.
In the light of the above statements, choose the most appropriate answer from the options given below :

Options:

Answer:

C

Solution:

$E = hf ML^{2} T^{- 2} = [h] \times [T^{- 1}] [h] = [ML^{2} T^{- 1}] L = [MVR] = [ML^{2} T^{- 1}] L = \frac{nh}{2 π}$
L is integral multiple of $\frac{h}{2 π}$

TestHub · Accepted Answer

​ E = hf ML 2 T − 2 = [ h ] × [ T − 1 ] [ h ] = [ ML 2 T − 1 ] L = [ MVR ] = [ ML 2 T − 1 ] L = 2 π nh ​ ​ L is integral multiple of 2 π h ​

Physics - Unit & Dimension Question with Solution | TestHub

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