Atomic Structure MCQs with Answers 2027

Q1

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

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Q2

The vibrational partition function for a molecule which can be described as a simple harmonic oscillator with fundamental frequency

ν

is given by

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Q3

Open question

The wave function for a quantum mechanical particle in a one-dimensional box of length a is given by

ψ = A sin \frac{π x}{a} .

The value of A for a box of length 200 nm is

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Q4

Open question

First order perturbation correction

Δ ε_{n}^{(1)}

to energy level

ε_{n}

of a simple harmonic oscillator due to the anharmonicity perturbation

γ x^{3}

is given by

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Q5

Open question

Which one of the following is not a photodetector?

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Q6

Open question

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

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Q7

Open question

As per the uncertainty principle,

Δ x \cdot Δ p

equals to

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Q8

Open question

In units of

\frac{h ^{2}}{8 m 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

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Q9

Open question

The velocity of the electron in the hydrogen atom

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Q10

Open question

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

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Q11

Open question

The 2s-orbital of H-atom has a radial node at 2a₀ because

ψ_{2 s}

is proportional to

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Q12

Open question

The region of electromagnetic spectrum employed in the electron spin resonance (ESR) spectroscopy is

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Q13

Open question

Which of the following pairs of operators commute?

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Q14

Open question

The set of eigen functions

\frac{2}{a} sin \frac{nπ x}{a} (0 ⩽ x ⩽ a, n = 1, 2, 3, ...) is

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Q15

Open question

The system for which energy (E) increases quadratically with the quantum number (n) is

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Q16

Open question

The uncertainty in the momentum (Δp_x) of the particle in its lowest energy state is

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Q17

Open question

A particle is confined to a one-dimensional box of length 1 mm. If the length is changed by 10^-9 m, the % change in the ground state energy is

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Q18

Open question

The function e^ax² (a > 0) is not an acceptable wave function for bound system because

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Q19

Open question

The wave function for a harmonic oscillator described

N x exp (- \frac{a x ^{2}}{2})

has

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Q20

Open question

Consider a particle of mass m moving in a one-dimensional box under the potential V = 0 for 0 ≤ x ≤ a and V =

\infty

outside the box. When the particle is in its lowest energy state, the average momentum (< p_x >) of the particle is

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Atomic Structurepractice.

Atomic Structure
practice.