Question:

If the two metals $A$ and $B$ are exposed to radiation of wavelength $350 mm$. The work functions of metals $A$ and $B$ are $4.8 eV$ and $2.2 eV$. Then choose the correct option

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For photoelectric emission to occur, the photon energy must be greater than the work function of the material.
Updated On: Mar 20, 2025
  • Both metals A and B will emit photo-electrons
  • Metal B will not emit photo-electrons
  • Both metals $A$ and $B$ will not emit photo-electrons
  • Metal A will not emit photo-electrons
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The Correct Option is D

Approach Solution - 1

The correct answer is (D) : Metal A will not emit photo-electrons

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Approach Solution -2

The energy of the photons is given by the equation: \[ E = \frac{hc}{\lambda} \] where \( h \) is Planck’s constant, \( c \) is the speed of light, and \( \lambda \) is the wavelength of the radiation. Substituting \( \lambda = 350 \, \text{nm} = 350 \times 10^{-9} \, \text{m} \), we can calculate the photon energy: \[ E = \frac{6.63 \times 10^{-34} \times 3 \times 10^8}{350 \times 10^{-9}} = 5.69 \, \text{eV} \] Since the photon energy \( 5.69 \, \text{eV} \) is greater than the work function of metal B (2.2 eV) but less than the work function of metal A (4.8 eV), metal B will emit photo-electrons, but metal A will not.
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Concepts Used:

Atoms

  • The smallest unit of matter indivisible by chemical means is known as an atom.
  • The fundamental building block of a chemical element.
  • The smallest possible unit of an element that still has all the chemical properties of that element.
  • An atom is consisting of a nucleus surrounded by one or more shells of electrons.
  • Word origin: from the Greek word atomos, which means uncuttable, something that cannot be divided further.

All matter we encounter in everyday life consists of smallest units called atoms – the air we breath consists of a wildly careening crowd of little groups of atoms, my computer’s keyboard of a tangle of atom chains, the metal surface it rests on is a crystal lattice of atoms. All the variety of matter consists of less than hundred species of atoms (in other words: less than a hundred different chemical elements).

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Every atom consists of an nucleus surrounded by a cloud of electrons. Nearly all of the atom’s mass is concentrated in its nucleus, while the structure of the electron cloud determines how the atom can bind to other atoms (in other words: its chemical properties). Every chemical element can be defined via a characteristic number of protons in its nucleus. Atoms that have lost some of their usual number of electrons are called ions. Atoms are extremely small (typical diameters are in the region of tenths of a billionth of a metre = 10-10 metres), and to describe their properties and behaviour, one has to resort to quantum theory.