JEE Advanced 2024: Atomic Structure and Spectroscopy

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Questions and Answers

What is the ratio of the maximum to the minimum photocurrent that can be passed through the circuit?

9 : 5

5 : 4

9 : 2 (correct)

9 : 4

What is the minimum possible wavelength of the photoelectron?

480Å

30Å

120Å (correct)

680Å

What is the value of Z in the given equation?

3 (correct)

What is the value of the radial node in the given equation?

2s Signup and view all the answers

What is the minimum photocurrent that must be passed through the circuit?

0.64 A Signup and view all the answers

What is the circumference of the second orbit of an atom or ion having a single electron?

4 nm Signup and view all the answers

What is the energy of the first photon emitted when the atom transitions from the higher excited state to the first excited state?

10.20 eV Signup and view all the answers

What is the angular node of the 2p orbital in the hydrogen atom?

1 Signup and view all the answers

What is the energy of the photon emitted when the electron moves from the (n + 1) to the ground state?

122.74 eV Signup and view all the answers

What is the region of the electromagnetic spectrum where the Lyman series is observed?

Ultraviolet region Signup and view all the answers

What is the radial node of the 2s orbital in the hydrogen atom?

0 Signup and view all the answers

What happens to the energy of an electron accelerated by a potential difference of 5.0 V when it collides with a Hg atom?

It is converted into light Signup and view all the answers

What is the energy of the second photon emitted when the atom transitions from the higher excited state to the first excited state?

17.00 eV Signup and view all the answers

If a ruby laser produces 0.36 J of energy per pulse, what can be said about the number of photons produced in each pulse?

It is directly proportional to the energy per pulse Signup and view all the answers

What is the effect of halving the intensity of light on the maximum kinetic energy of electrons emitted by a metal surface?

The maximum kinetic energy remains the same Signup and view all the answers

What is the relationship between the radius of the second orbit of a H-atom and that of a He+ ion?

The radius of the second orbit of a H-atom is equal to that of a He+ ion Signup and view all the answers

When an electron jumps from the second orbit to the fourth orbit in a H-atom, what happens to its distance from the nucleus?

It increases by 2.116 Å Signup and view all the answers

What is the wavelength of the light emitted by a Hg-atom when an electron accelerated by a potential difference of 5.0 V collides with it?

248 nm Signup and view all the answers

What is the kinetic energy of an electron in the second Bohr orbit of a hydrogen atom?

h² / (16π² mao²) Signup and view all the answers

What is the radius of the first orbit of a D-atom?

exactly 0.529 Å Signup and view all the answers

What is the energy of an electron in the first Bohr's orbit of an H-atom?

–13.6 eV Signup and view all the answers

Which of the following statements is correct about the Bohr's model of a hydrogen atom?

The kinetic energy of electron in the n = 2 orbit is less than that in the n = 1 orbit Signup and view all the answers

What happens to the kinetic energy of an electron when it jumps from the fourth orbit to the second orbit in a Be³⁺ ion?

it increases Signup and view all the answers

For which orbit in a He⁺ ion is the circumference 26.5 Å?

16 Signup and view all the answers

Study Notes

Atomic Structure

Centripetal force of an electron in the n = 2 orbit is more than that in the n = 1 orbit.

Photocurrent

Three laser guns with powers 2, 3, and 5 W are used to produce photocurrent from a metal plate.
The number of photons emitted by the laser guns are 4 × 10^18, 5 × 10^18, and 9 × 10^18 per second.
The metal plate has a threshold energy of 4.5 × 10^-19 J.

Wavelength of Photoelectron

Minimum possible wavelength of a photoelectron is 680Å or 30Å.

Hydrogen-Like Atom

A hydrogen-like atom (atomic number Z) is in a higher excited state of quantum number n.
The excited atom can make a transition to the first excited state by successively emitting two photons of energies 10.20 and 17.00 eV, respectively.
Alternatively, the atom from the same excited state can make a transition to the second excited state by successively emitting two photons of energies 4.25 and 5.95 eV, respectively.

Schrödinger Wave Equation

The Schrödinger wave equation for a hydrogen atom is Ψ2s = (1/2) (4√2π/a0) (2 - r0/a0) e^(-r/a0).

Matrices

Match the columns: Orbitals (2s, 1s, 2p, 3p) with Nodal properties (Radial node = 0, Angular node = 1, Radial node = 1, Angular node = 0).

Hydrogen Atom Spectrum

Match Column I with Column II: Lyman series (UV region), Balmer series (Visible region), Paschen series (IR region), Brackett series (IR region).

Atomic Radius

The radius of the second orbit of an H-atom is equal to the radius of the second orbit of a He+ ion.
The radius of the first orbit of an H-atom is 0.529 Å.
The radius of the first orbit of a D-atom is slightly less than 0.529 Å.

Electron Energy

The energy of an electron in the first Bohr's orbit of an H-atom is -13.6 eV.
Possible energy values of the excited state(s) for electrons in Bohr's orbits to hydrogen are -3.4 eV, -10.2 eV, -1.51 eV, and -0.85 eV.

Bohr's Model

The acceleration of the electron in the n = 2 orbit is more than that in the n = 1 orbit.
The angular momentum of the electron in the n = 2 orbit is more than that in the n = 1 orbit.
The kinetic energy of an electron in the n = 2 orbit is less than that in the n = 1 orbit.

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Description

Test your knowledge of atomic structure and spectroscopy with this quiz, featuring questions on topics such as electron energy, light emission, and laser radiation. Prepare for the JEE Advanced 2024 exam with these challenging questions.