Atoms

Which statement correctly explains why the hydrogen atom produces a line spectrum instead of a continuous spectrum?

1. Electrons may possess any amount of energy.
2. Electrons occupy only discrete energy levels.
3. The nucleus emits visible light continuously.
4. Electrons continuously lose energy while revolving.

The shortest wavelength in the Lyman series corresponds to the transition:

1. n = 2 to n = 1
2. n = 3 to n = 1
3. n = 4 to n = 1
4. n = infinity to n = 1

Which one of the following is a limitation of Rutherford's atomic model?

1. It explained the existence of the nucleus.
2. It explained alpha-particle scattering.
3. It could not explain the stability of atoms.
4. It correctly predicted the hydrogen spectrum.

The frequency of the radiation emitted during an electronic transition is determined by:

1. Speed of the electron in the orbit
2. Radius of the orbit only
3. Difference in energy between the two orbits
4. Mass of the nucleus only

According to Bohr's theory, radiation is emitted by a hydrogen atom when an electron:

1. Revolves in a stationary orbit.
2. Moves from a lower energy orbit to a higher energy orbit.
3. Moves from a higher energy orbit to a lower energy orbit.
4. Revolves around the nucleus with constant speed.

An electron in a hydrogen atom jumps from the fourth orbit to the second orbit. The emitted spectral line belongs to the:

1. Lyman series
2. Balmer series
3. Paschen series
4. Brackett series

The Lyman series of hydrogen lies in the:

1. Infrared region
2. Microwave region
3. Visible region
4. Ultraviolet region

According to the Rydberg formula, the wavelength of the emitted radiation is given by:

1. λ = R(n2² − n1²)
2. 1/λ = R(1/n1² − 1/n2²)
3. λ = hc/E
4. λ = h/mv

The spectral lines of the Balmer series are obtained when an electron in a hydrogen atom falls to:

1. n = 1
2. n = 2
3. n = 3
4. n = 4

The excitation energy required to excite a hydrogen atom from the ground state (n = 1) to the first excited state (n = 2) is:

1. 3.4 eV
2. 10.2 eV
3. 13.6 eV
4. 1.89 eV

The ionization energy of the hydrogen atom in its ground state is:

1. 3.4 eV
2. 10.2 eV
3. 13.6 eV
4. 27.2 eV

Which observation from Rutherford's alpha-particle scattering experiment led to the conclusion that most of the atom is empty space?

1. All alpha particles were reflected.
2. Most alpha particles passed through the foil without any deflection.
3. Alpha particles lost all their energy inside the foil.
4. Electrons were emitted from the foil.

The radius of the second Bohr orbit of the hydrogen atom is: (Given: Bohr radius a0 = 0.529 × 10^(-10) m)

1. 0.529 × 10^(-10) m
2. 1.058 × 10^(-10) m
3. 2.116 × 10^(-10) m
4. 4.232 × 10^(-10) m

The energy of an electron in the third Bohr orbit of a hydrogen atom is:

1. -13.6 eV
2. -3.4 eV
3. -1.51 eV
4. -0.85 eV

According to Bohr's model of the hydrogen atom, the angular momentum of an electron in the nth orbit is:

1. nh/π
2. nh
3. nh/2π
4. h/2nπ