Given below are two statements:
Statement I:  The Balmer spectral line for H atom with lowest energy  appears at \(\dfrac 5{36}\mathrm{ R_H~ cm^{-1}}\) (\(\mathrm{R_H}\) = Rydberg constant) 
Statement II:  When the temperature of a black body increases, the maxima of the curve (intensity versus wavelength) shifts towards shorter wavelength.
In the light of the above statements, choose the correct answer from the options given below:
 
1. Statement I is correct and Statement II is incorrect.
2. Statement I is incorrect and Statement II is correct.
3. Both Statement I and Statement II are correct.
4. Both Statement I and Statement II are incorrect.
Subtopic:  Bohr's Theory | Planck's Theory |
 67%
Level 2: 60%+
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The change in orbit angular momentum corresponding to an electron transition from 4th excited state to the ground state of a hydrogen atom can be given by:

1. \(\dfrac{h}{\pi}\) 2. \(\dfrac{3 h}{2 \pi}\)
3. \(\dfrac{h}{2 \pi}\) 4. \(\dfrac{2 h}{\pi}\)
Subtopic:  Bohr's Theory |
 68%
Level 2: 60%+
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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.
 
1. Statement I is incorrect and Statement II is correct.
2. Both Statement I and Statement II are correct.
3. Both Statement I and Statement II are incorrect.
4. Statement I is correct and Statement II is incorrect.
Subtopic:  Bohr's Theory | Heisenberg Uncertainty Principle |
Level 4: Below 35%
NEET - 2024
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Assertion (A): The radius of the second orbit of He+ is equal to that of the first orbit of hydrogen.
Reason (R) The radius of an orbit in hydrogen-like species is directly proportional to n and inversely proportional to Z.

 

1. Both  (A) and (R) are True and (R) is the correct explanation of the (A).
2. Both (A) and (R) are True and (R) is not the correct explanation of the (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Bohr's Theory |
 73%
Level 2: 60%+
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The radius of 2nd orbit of \(\mathrm{He}^{\oplus}\) is \(r_0 \). The radius of 4th orbit of \(Be^{+3} \)  is \(\text {xr}_0 \). The value of x is:  

1. 4
2. 2
3. 6
4. 8
Subtopic:  Bohr's Theory |
 81%
Level 1: 80%+
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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 |
 65%
Level 2: 60%+
NEET - 2024
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Given below are two statements:
Assertion (A): Splitting of spectral lines under the influence of an electric field is known as the Stark effect.
Reason (R):  Bohr’s theory accounts for this splitting of spectral lines.
 
1.  Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True and (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
Subtopic:  Bohr's Theory |
 69%
Level 2: 60%+
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If the diameter of a carbon atom is 0.15 nm, the number of carbon atoms that can be placed side by side in a straight line across the length of the scale of length 20 cm long will be:

1. 1.33 × 107 2. 5.46 × 108
3. 1.33 × 109 4. 2.36 × 108
Subtopic:  Bohr's Theory |
 71%
Level 2: 60%+
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The circumference of the Bohr orbit for the H atom is related to the de Broglie wavelength associated with the electron revolving around the orbit by the following relation: 
1. 2πr=
2. πr = 2
3. mvr = 
4. vr = 2

Subtopic:  Bohr's Theory | De Broglie Equation |
 82%
Level 1: 80%+
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