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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Based on equation E = –2.178 × 10–18J, Z2n2 certain conclusions are written. Which of them is not correct?

1. Larger the value of n, the larger the orbit radius.
2. Equation can be used to calculate the change in energy when the electron changes orbit.
3. For n = 1, the electron has a more negative energy than it does for n = 6 which means that the electron is more loosely bound in the smallest allowed orbit.
4. The negative sign in the equation simply means that the energy of the electron bound to the nucleus is lower than what it would be if the electrons were at an infinite distance from the nucleus.
Subtopic:  Bohr's Theory |
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The total number of atomic orbitals in fourth energy level of an atom is:

1.  16
2.  32
3.  4
4.  8

Subtopic:  Bohr's Theory |
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The energies E1 and E2 of two radiations are 25 eV and 50 eV respectively. The relation between their wavelengths i.e., λ1 and λ2 will be:

1.  λ1=2λ2

2.  λ1=4λ2

3.  λ1=12λ2

4.  λ1=λ2

Subtopic:  Bohr's Theory |
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If the energy of the second Bohr orbit of the hydrogen atom is –328 kJ mol–1, the energy of the fourth Bohr orbit would be:

1. –1312 kJ mol–1 2. –82 kJ mol–1
3. –41 kJ mol–1 4. –164 kJ mol–1
Subtopic:  Bohr's Theory |
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Ionization energy of second orbit of Li+2 will be:
1.  122.4 eV
2.  40.8 eV
3.  30.6 eV
4.  13.6 eV

Subtopic:  Bohr's Theory |
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The radius of a hydrogen shell is 0.53Å. In its first excited state, radius of the shell will be:
1. 2.12 Å
2. 1.06 Å
3. 8.5 Å
4. 4.24 Å

Subtopic:  Bohr's Theory |
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