The energy of electron in the ground state \((\text{n}=1)\) for \(\text{He}^+\) ion is-\(\text{x}J,\) then that for an electron in \(\text{n}=2\) state for \(\text{Be}^{3+}\) ion in \(\text{J}\) is :
1. \(-\dfrac x9\) 2. \(-4x\)
3. \(-\dfrac 49x\) 4. \(-x\)
Subtopic:  Bohr's Theory |
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Given below are two statement:
Statement I: The energy of the \(\mathrm{He}^{+}\) ion in \(n=2\) state is same as the energy of H atom in \(n=1\) state
Statement II: It is possible to determine simultaneously the exact position and exact momentum of an electron in \(\mathrm{H}\) atom.

In the light of the above Statements, choose the correct answer from the options given below:
1. Both Statement I and Statement II are True
2. Both Statement I and Statement II are False
3. Statement I is True but Statement II is False
4. Statement I is False but Statement II is True
Subtopic:  Bohr's Theory | Heisenberg Uncertainty Principle |
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Given below are two statements:
Statement I:  The Balmer spectral line for H atom with lowest energy is located at \(\dfrac 5{36}\mathrm{ R_H~ cm^{-1}}\) (\(\mathrm{R_H}\) = Rydberg constant) 
Statement II:  When the temperature of blackbody increases, the maxima of the curve (intensity versus wavelength) shifts to shorter wavelength.
 
In the light of the above statements, choose the correct answer from the options given below: 
1. Statement I is True but Statement II is False 
2. Statement I is False  but Statement II is True 
3. Both Statement I and Statement II are True 
4. Both Statement I and Statement II are False
Subtopic:  Bohr's Theory | Planck's Theory |
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In hydrogen atom, what is the de Broglie wavelength of an electron in the second Bohr orbit is: [Given that Bohr radius, a0=52.9 pm]

1. 211.6 pm

2. 211.6 πpm

3. 52.9 πpm

4. 105.8 pm

Subtopic:  Bohr's Theory |
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