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 |
 80%
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 The largest de Broglie wavelength among the following (all have equal velocity) is: 

1.  CO2 molecule

2.  NH3 molecule

3.  Electron

4.  Proton

Subtopic:  De Broglie Equation |
 78%
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The wavelength of an electron moving with a velocity of 2.05 × 107 m s-1  would be:  

\(1 .\) \(4 . 65\) \(\times\) \(\left(10\right)^{- 12}\) \(m\)

\(2 .\) \(3 . 55\) \(\times\) \(\left(10\right)^{-11}\) \(m\)

\(3 .\) \(2 . 34\) \(\times\) \(\left(10\right)^{11}\) \(m\)

\(4 .\) \(6 . 43\) \(\times\) \(\left(10\right)^{ -11}\) \(m\)

Subtopic:  De Broglie Equation |
 78%
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If the velocity of the electron is 1.6 × 106 ms-1. The de Broglie wavelength associated with this electron is:  

1. 590 pm
2. 455 pm
3. 512 pm
4. 401 pm

Subtopic:  De Broglie Equation |
 72%
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The graphs that represents the variation of momentum of particle with de-Broglie wavelength is: 

1. 2.
3. 4.

Subtopic:  De Broglie Equation |
 67%
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Incorrect statement among the following is: 

1. The uncertainty principle is\(\Delta x \cdot \Delta p \geq \frac{h}{4 \pi} \)
2. Half-filled and fully filled orbitals have greater stability due to greater exchange energy,
greater symmetry, and a more balanced arrangement.
3. The energy of the 2s orbital is less than the energy of the 2p orbital in the case of hydrogen-like atoms.
4. De-Broglie's wavelength is given by\(\lambda=\frac{h}{m v} \), where m= mass of the particle, v = group velocity of the particle.

Subtopic:  De Broglie Equation |
 67%
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The velocity associated with a proton moving at a potential difference of 1000 V is 4.37 × 105 ms–1. If the hockey ball of mass 0.1 kg is moving with this velocity, then the wavelength associated with this velocity would be:

1. 1.52 ×10-38 m
2. 2.54 × 10-32 m
3. 1.52 × 10-36 m
4. 3.19 × 10-34 m

Subtopic:  De Broglie Equation |
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The kinetic energy of an electron is \(3.0 \times 10^{-25}~ \mathrm J.\) Its wave length would be: 

1. \(8.96 \times 10^{-7}~ \mathrm m\) 2. \(4.37 \times 10^{-6}~ \mathrm m\)
3. \(1.32 \times 10^{-7}~ \mathrm m\) 4. \(2.89 \times 10^{-4}~ \mathrm m\)
Subtopic:  De Broglie Equation |
 55%
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The characteristic velocity associated with a neutron that has a wavelength of 800 pm is :
 

1. 496 m s-1 2. 567 m s-1
3. 494 cm s-1 4. 501 m s-1
Subtopic:  De Broglie Equation |
 51%
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