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Q.

Given below are two statements :
Statement-I : According to Bohr’s model of hydrogen atom, the angular momentum of an electron in a given stationary state is quantized
Statement-II : The concept of electron in Bohr’s orbit violates the Heisenberg uncertainty
principle. 

In the light of the above statements, choose the most appropriate answer from the options given below

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a

Both Statement-I and Statement-II are correct

b

Statement I is incorrect but Statement-II is correct

c

Statement-I is correct but Statement-II is incorrect

d

Both Statement-I and Statement-II are incorrect

answer is C.

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Detailed Solution

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Statement I is correct. According to Bohr's model of the hydrogen atom, the angular momentum of an electron in a given stationary state is quantized. The angular momentum of an electron in the nth orbit is given by:

L=nh=nh2π

where n is an integer (quantum number), and h is the Planck's constant.

Statement II is also correct. Bohr's model does not consider the Heisenberg uncertainty principle, which states that it is impossible to know the exact position and momentum of an electron simultaneously. In Bohr's model, electrons are assumed to move in well-defined orbits with quantized angular momentum, which implies knowledge of both position and momentum, thus violating the Heisenberg uncertainty principle.

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