Advertisements
Advertisements
Question
The total energy of an electron in the first excited state of the hydrogen atom is about −3.4 eV.
What is the potential energy of the electron in this state?
Advertisements
Solution
Potential energy (U) of the electron is equal to the negative of twice its kinetic energy.
⇒ U = −2 K
= − 2 × 3.4
= −6.8 eV
Hence, the potential energy of the electron in the given state is −6.8 eV.
APPEARS IN
RELATED QUESTIONS
Given the ground state energy E0 = - 13.6 eV and Bohr radius a0 = 0.53 Å. Find out how the de Broglie wavelength associated with the electron orbiting in the ground state would change when it jumps into the first excited state.
A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. Upto which energy level the hydrogen atoms would be excited? Calculate the wavelengths of the first member of Lyman and first member of Balmer series.
The ground state energy of a hydrogen atom is −13.6 eV. What are the kinetic and potential energies of the electron in this state?
The total energy of an electron in the first excited state of the hydrogen atom is about −3.4 eV.
What is the kinetic energy of the electron in this state?
Obtain the first Bohr’s radius and the ground state energy of a muonic hydrogen atom [i.e., an atom in which a negatively charged muon (μ−) of mass about 207 me orbits around a proton].
Wavelengths of the first lines of the Lyman series, Paschen series and Balmer series, in hydrogen spectrum are denoted by `lambda_L, lambda_P and lambda_B` respectively. Arrange these wavelengths in increasing order.
A 12.3 eV electron beam is used to bombard gaseous hydrogen at room temperature. Upto which energy level the hydrogen atoms would be excited?
Calculate the wavelengths of the second member of Lyman series and second member of Balmer series.
Which transition corresponds to emission of radiation of maximum wavelength?
Calculate the minimum amount of energy which a gamma ray photon should have for the production of an electron and a positron pair..
A Carnot engine absorbs 1000 J of heat energy from a reservoir at 127°C and rejects 600 J of heat energy during each cycle. The efficiency of the engine and temperature of the sink will be:
The Ionisation energy of hydrogen atom is 3.6 ev The ionisation energy of helium atom would be
Energy levels A, B, C of acertain atom corresponding to increasing value of energy, i.e., EA< E8 < Ee. If λ1, λ2 and λ3 are the wavelength of radiations corresponding to the transitions C to B, B to A and C to A respectively, which of the following statements is correct?

Radiation coming from transitions n = 2 to n = 1 of hydrogen atoms fall on He+ ions in n = 1 and n = 2 states. The possible transition of helium ions as they absorb energy from the radiation is ______.
Which of the following is true for X-rays?
The diagram shows the four energy levels of an electron in the Bohr model of the hydrogen atom. Identify the transition in which the emitted photon will have the highest energy.
