Science (English Medium) इयत्ता १२ - CBSE Question Bank Solutions

Consider the situation of the previous problem. Consider the faster electron emitted parallel to the large metal plate. Find the displacement of this electron parallel to its initial velocity before it strikes the large metal plate.

(Use h = 6.63 × 10^-34J-s = 4.14 × 10^-15 eV-s, c = 3 × 10⁸ m/s and me = 9.1 × 10^-31kg)

In which of the following transitions will the wavelength be minimum? 

In which of the following systems will the radius of the first orbit (n = 1) be minimum?

Which of the following curves may represent the speed of the electron in a hydrogen atom as a function of trincipal quantum number n?

As one considers orbits with higher values of n in a hydrogen atom, the electric potential energy of the atom

The radius of the shortest orbit in a one-electron system is 18 pm. It may be

A hydrogen atom in ground state absorbs 10.2 eV of energy. The orbital angular momentum of the electron is increased by

An electron with kinetic energy 5 eV is incident on a hydrogen atom in its ground state. The collision

Which of the following products in a hydrogen atom are independent of the principal quantum number n? The symbols have their usual meanings.

(a) vn
(b) Er
(c) En
(d) vr

Let A_n be the area enclosed by the nth orbit in a hydrogen atom. The graph of ln (A_n/A₁) against ln(n)

(a) will pass through the origin
(b) will be a straight line with slope 4
(c) will be a monotonically increasing nonlinear curve
(d) will be a circle

Ionization energy of a hydrogen-like ion A is greater than that of another hydrogen-like ion B. Let r, u, E and L represent the radius of the orbit, speed of the electron, energy of the atom and orbital angular momentum of the electron respectively. In ground state

Calculate the smallest wavelength of radiation that may be emitted by (a) hydrogen, (b) He⁺ and (c) Li⁺⁺.

Find the binding energy of a hydrogen atom in the state n = 2.

A hydrogen atom emits ultraviolet radiation of wavelength 102.5 nm. What are the quantum numbers of the states involved in the transition?

(a) Find the first excitation potential of He⁺ ion. (b) Find the ionization potential of Li⁺⁺ion.

A group of hydrogen atoms are prepared in n = 4 states. List the wavelength that are emitted as the atoms make transitions and return to n = 2 states.

Find the maximum Coulomb force that can act on the electron due to the nucleus in a hydrogen atom.

A hydrogen atom in a state having a binding energy of 0.85 eV makes transition to a state with excitation energy 10.2 e.V (a) Identify the quantum numbers n of the upper and the lower energy states involved in the transition. (b) Find the wavelength of the emitted radiation.

Whenever a photon is emitted by hydrogen in Balmer series, it is followed by another photon in Lyman series. What wavelength does this latter photon correspond to?