Atomic Structure MCQs Question and Answer in Engineering Chemistry

1.
The de-Broglie wavelength for a He atom travelling at 1000 m/s (typical speed at room temperature) is

A. 99.7 × 10^-12 m

B. 199.4 × 10^-12 m

C. 199.4 × 10^-18 m

D. 99 × 10^-6 m

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2.
The vibrational partition function for a molecule which can be described as a simple harmonic oscillator with fundamental frequency $$\nu $$ is given by

A. $$\exp \left( { - \frac{{h\nu }}{{{K_B}T}}} \right)$$

B. $${\left[ {1 - \exp \left( { - \frac{{h\nu }}{{{K_B}T}}} \right)} \right]^{ - 1}}$$

C. $$\exp \left( { - \frac{{h\nu }}{{{K_B}T}}} \right){\left[ {1 - \exp \left( { - \frac{{h\nu }}{{{K_B}T}}} \right)} \right]^{ - 1}}$$

D. $$\exp \left( { - \frac{{h\nu }}{{2{K_B}T}}} \right){\left[ {1 - \exp \left( { - \frac{{h\nu }}{{{K_B}T}}} \right)} \right]^{ - 1}}$$

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3.
The wave function for a quantum mechanical particle in a one-dimensional box of length a is given by $$\psi = A\sin \frac{{\pi x}}{a}.$$ The value of A for a box of length 200 nm is

A. 4 × 10⁴ (nm)²

B. 10$$\sqrt 2 $$ (nm)^1/2

C. $$\sqrt 2 $$ /10 (nm)^-1/2

D. 0.1 (nm)^-1/2

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4.
First order perturbation correction $$\Delta \varepsilon _n^{\left( 1 \right)}$$ to energy level $${\varepsilon _n}$$ of a simple harmonic oscillator due to the anharmonicity perturbation $$\gamma {x^3}$$ is given by

A. $$\Delta \varepsilon _n^{\left( 1 \right)} = \gamma $$

B. $$\Delta \varepsilon _n^{\left( 1 \right)} = {\gamma ^2}$$

C. $$\Delta \varepsilon _n^{\left( 1 \right)} = {\gamma ^{ - 1}}$$

D. $$\Delta \varepsilon _n^{\left( 1 \right)} = 0$$

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5.
Which one of the following is not a photodetector?

A. Bolometer

B. Charge-transfer device

C. Photomultiplier tube

D. Silicon diode

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6.
An electron of mass m is confined to a one-dimensional box of length b. If it makes a radiative transition from second excited state to the ground state/the frequency of the photon emitted is

A. $$\frac{{9h}}{{8m{b^2}}}$$

B. $$\frac{{3h}}{{8m{b^2}}}$$

C. $$\frac{h}{{m{b^2}}}$$

D. $$\frac{{2h}}{{8m{b^2}}}$$

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7.
As per the uncertainty principle, $$\Delta x \cdot \Delta p$$ equals to

A. $$\frac{h}{{2\pi }}$$

B. $$\frac{h}{2}$$

C. $$\lambda $$

D. zero

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8.
In units of $$\frac{{{h^2}}}{{8m{l^2}}},$$ the energy difference between levels corresponding to 3 and 2 node eigen functions for a particle of mass m in a one-dimensional box of length $$l$$ is

A. 1

B. 3

C. 5

D. 7

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9.
The velocity of the electron in the hydrogen atom

A. increases with increasing principal quantum number

B. decreases with increasing principal quantum number

C. is uniform for any value of the principal quantum number

D. first increases and then decreases with principal quantum number

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10.
The zero-point energy of the vibration of ³⁵CI₂ mimicking a harmonic oscillator with a force constant k = 2293.8 N/m is

A. 10.5 × 10^-21 J

B. 14.8 × 10^-21 J

C. 20.9 × 10^-21 J

D. 20.6 × 10^-21 J

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Atomic Structure MCQs Question and Answer in Engineering Chemistry

1. The de-Broglie wavelength for a He atom travelling at 1000 m/s (typical speed at room temperature) is

Answer & Solution

2. The vibrational partition function for a molecule which can be described as a simple harmonic oscillator with fundamental frequency $$\nu $$ is given by

Answer & Solution

3. The wave function for a quantum mechanical particle in a one-dimensional box of length a is given by $$\psi = A\sin \frac{{\pi x}}{a}.$$ The value of A for a box of length 200 nm is

Answer & Solution

4. First order perturbation correction $$\Delta \varepsilon _n^{\left( 1 \right)}$$ to energy level $${\varepsilon _n}$$ of a simple harmonic oscillator due to the anharmonicity perturbation $$\gamma {x^3}$$ is given by

Answer & Solution

5. Which one of the following is not a photodetector?

Answer & Solution

6. An electron of mass m is confined to a one-dimensional box of length b. If it makes a radiative transition from second excited state to the ground state/the frequency of the photon emitted is

Answer & Solution

7. As per the uncertainty principle, $$\Delta x \cdot \Delta p$$ equals to

Answer & Solution

8. In units of $$\frac{{{h^2}}}{{8m{l^2}}},$$ the energy difference between levels corresponding to 3 and 2 node eigen functions for a particle of mass m in a one-dimensional box of length $$l$$ is

Answer & Solution

9. The velocity of the electron in the hydrogen atom

Answer & Solution

10. The zero-point energy of the vibration of 35CI2 mimicking a harmonic oscillator with a force constant k = 2293.8 N/m is

Answer & Solution

1.
The de-Broglie wavelength for a He atom travelling at 1000 m/s (typical speed at room temperature) is

2.
The vibrational partition function for a molecule which can be described as a simple harmonic oscillator with fundamental frequency $$\nu $$ is given by

3.
The wave function for a quantum mechanical particle in a one-dimensional box of length a is given by $$\psi = A\sin \frac{{\pi x}}{a}.$$ The value of A for a box of length 200 nm is

4.
First order perturbation correction $$\Delta \varepsilon _n^{\left( 1 \right)}$$ to energy level $${\varepsilon _n}$$ of a simple harmonic oscillator due to the anharmonicity perturbation $$\gamma {x^3}$$ is given by

5.
Which one of the following is not a photodetector?

6.
An electron of mass m is confined to a one-dimensional box of length b. If it makes a radiative transition from second excited state to the ground state/the frequency of the photon emitted is

7.
As per the uncertainty principle, $$\Delta x \cdot \Delta p$$ equals to

8.
In units of $$\frac{{{h^2}}}{{8m{l^2}}},$$ the energy difference between levels corresponding to 3 and 2 node eigen functions for a particle of mass m in a one-dimensional box of length $$l$$ is

9.
The velocity of the electron in the hydrogen atom

10.
The zero-point energy of the vibration of ³⁵CI₂ mimicking a harmonic oscillator with a force constant k = 2293.8 N/m is