English
Karnataka Board PUCPUC Science Class 11

Light from Balmer Series of Hydrogen is Able to Eject Photoelectrons from a Metal. What Can Be the Maximum Work Function of the Metal?

Advertisements
Advertisements

Question

Light from Balmer series of hydrogen is able to eject photoelectrons from a metal. What can be the maximum work function of the metal?

Sum
Advertisements

Solution

Let the maximum work function of the metal be W.

The energy liberated in the Balmer Series (E) is given by 

`E = 13.6(1/n_1^2 - 1/n_2^2)`

For maximum work function, maximum energy of Balmer's series is taken.

Now, n1 = 2, n1 = ∞​

`therefore E = 13.6(1/2^2)`

=` 13.6 xx 1/4 =3.4  eV`

Here,

W = E

Thus, maximum work function of metal is 3.4 eV.

shaalaa.com
  Is there an error in this question or solution?
Chapter 43: Bohr’s Model and Physics of Atom - Exercises [Page 385]

APPEARS IN

HC Verma Concepts of Physics Volume 1 and 2 [English]
Chapter 43 Bohr’s Model and Physics of Atom
Exercises | Q 39 | Page 385

RELATED QUESTIONS

Calculate the radius of second Bohr orbit in hydrogen atom from the given data.

Mass of electron = 9.1 x 10-31kg

Charge on the electron = 1.6 x 10-19 C

Planck’s constant = 6.63 x 10-34 J-s.

Permittivity of free space = 8.85 x 10-12 C2/Nm2


Calculate the energy required for the process 

\[\ce{He^+_{(g)} -> He^{2+}_{(g)} + e^-}\]

The ionization energy for the H atom in the ground state is 2.18 ×10–18 J atom–1


In accordance with the Bohr’s model, find the quantum number that characterises the earth’s revolution around the sun in an orbit of radius 1.5 × 1011 m with orbital speed 3 × 104 m/s. (Mass of earth = 6.0 × 1024 kg)


State Bohr postulate of hydrogen atom that gives the relationship for the frequency of emitted photon in a transition.


Balmer series was observed and analysed before the other series. Can you suggest a reason for such an order?


Evaluate Rydberg constant by putting the values of the fundamental constants in its expression.


When a photon is emitted by a hydrogen atom, the photon carries a momentum with it. (a) Calculate the momentum carries by the photon when a hydrogen atom emits light of wavelength 656.3 nm. (b) With what speed does the atom recoil during this transition? Take the mass of the hydrogen atom = 1.67 × 10−27 kg. (c) Find the kinetic energy of recoil of the atom.


If l3 and l2 represent angular momenta of an orbiting electron in III and II Bohr orbits respectively, then l3: l2 is :


Write postulates of Bohr’s Theory of hydrogen atom.


Which of the following is/are CORRECT according to Bohr's atomic theory?

(I) Energy is emitted when electron moves from a higher stationary state to a lower one.

(II) Orbits are arranged concentrically around the nucleus in an increasing order of energy.

(III) The energy of an electron in the orbit changes with time.


According to Bohr's model of hydrogen atom, an electron can revolve round a proton indefinitely, if its path is ______.


The simple Bohr model cannot be directly applied to calculate the energy levels of an atom with many electrons. This is because ______.


For the ground state, the electron in the H-atom has an angular momentum = h, according to the simple Bohr model. Angular momentum is a vector and hence there will be infinitely many orbits with the vector pointing in all possible directions. In actuality, this is not true ______.


State Bohr's postulate to explain stable orbits in a hydrogen atom. Prove that the speed with which the electron revolves in nth orbit is proportional to `(1/"n")`.


The value of angular momentum for He+ ion in the first Bohr orbit is ______.


A 100 eV electron collides with a stationary helium ion (He+) in its ground state and exits to a higher level. After the collision, He+ ions emit two photons in succession with wavelengths 1085 Å and 304 Å. The energy of the electron after the collision will be ______ eV.

Given h = 6.63 × 10-34 Js.


The energy of an electron in the nth orbit of the hydrogen atom is En = -13.6/n2eV. The negative sign of energy indicates that ______.


The de Broglie wavelength of an electron in the first Bohr’s orbit of hydrogen atom is equal to ______.


The radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×