Samacheer Kalvi solutions for Physics - Volume 1 and 2 [English] Class 12 TN Board chapter 8 - Dual Nature of Radiation and Matter [Latest edition]

The wavelength λ_e of an electron and λ_p of a photon of same energy E are related by

In an electron microscope, the electrons are accelerated by a voltage of 14 kV. If the voltage is changed to 224 kV, then the de Broglie wavelength associated with the electrons would

The wave associated with a moving particle of mass 3 × 10^–6 g has the same wavelength as an electron moving with a velocity 6 × 10⁶ ms^–1. The velocity of the particle is

When a metallic surface is illuminated with radiation of wavelength λ, the stopping potential is V. If the same surface is illuminated with radiation of wavelength 2λ, the stopping potential is `"V"/4`. The threshold wavelength for the metallic surface is

If a light of wavelength 330 nm is incident on a metal with work function 3.55 eV, the electrons are emitted. Then the wavelength of the wave associated with the emitted electron is (Take h = 6.6 × 10^–34 Js)

A photoelectric surface is illuminated successively by monochromatic light of wavelength λ and `λ/2`. If the maximum kinetic energy of the emitted photoelectrons in the second case is 3 times that in the first case, the work function of the material is

In photoelectric emission, a radiation whose frequency is 4 times threshold frequency of a certain metal is incident on the metal. Then the maximum possible velocity of the emitted electron will be

Two radiations with photon energies 0.9 eV and 3.3 eV respectively are falling on a metallic surface successively. If the work function of the metal is 0.6 eV, then the ratio of maximum speeds of emitted electrons in the two cases will be

A light source of wavelength 520 nm emits 1.04 × 10¹⁵ photons per second while the second source of 460 nm produces 1.38 × 10¹⁵ photons per second. Then the ratio of power of second source to that of first source is

If the mean wavelength of light from sun is taken as 550 nm and its mean power as 3.8 × 10²⁶ W, then the average number of photons received by the human eye per second from sunlight is of the order of

The threshold wavelength for a metal surface whose photoelectric work function is 3.313 eV is __________.

A light of wavelength 500 nm is incident on a sensitive metal plate of photoelectric work function 1.235 eV. The kinetic energy of the photoelectrons emitted is (Take h = 6.6 × 10^–34 Js)

Photons of wavelength λ are incident on a metal. The most energetic electrons ejected from the metal are bent into a circular arc of radius R by a perpendicular magnetic field having magnitude B. The work function of the metal is

The work functions for metals A, B and C are 1.92 eV, 2.0 eV and 5.0 eV respectively. The metal/metals which will emit photoelectrons for a radiation of wavelength 4100Å is/are

Emission of electrons by the absorption of heat energy is called ____________ emission.

Why do metals have a large number of free electrons?

Define the work function of a metal. Give its unit.

What is the photoelectric effect?

How does photocurrent vary with the intensity of the incident light?

Give the definition of intensity of light according to quantum concept and its unit.

How will you define threshold frequency?

What is a photocell?

Mention the different types of photocells.

Write the expression for the de Broglie wavelength associated with a charged particle of charge q and mass m, when it is accelerated through a potential V.

State de Broglie hypothesis.

Why we do not see the wave properties of a baseball?

A proton and an electron have the same kinetic energy. Which one has a greater de Broglie wavelength? Justify.

Write the relationship of de Broglie wavelength λ associated with a particle of mass m in terms of its kinetic energy K.

An electron and an alpha particle have the same kinetic energy. How are the de Broglie wavelengths associated with them related?

Define stopping potential.

What is a surface barrier?

Mention the two features of x-ray spectra, not explained by classical electromagnetic theory.

What is Bremsstrahlung?

What do you mean by electron emission? Explain briefly various methods of electron emission.

Briefly discuss the observations of Hertz, Hallwachs and Lenard.

Explain the effect of potential difference on photoelectric current.

Explain how frequency of incident light varies with stopping potential.

List out the laws of photoelectric effect.

Explain why photoelectric effect cannot be explained on the basis of wave nature of light.

Explain the quantum concept of light.

Obtain Einstein’s photoelectric equation with the necessary explanation.

Explain experimentally observed facts of the photoelectric effect with the help of Einstein’s explanation.

Give the construction and working of photo emissive cell.

Derive an expression for de Broglie wavelength of electrons.

Briefly explain the principle and working of electron microscope.

Describe briefly Davisson – Germer experiment which demonstrated the wave nature of electrons.

List out the characteristics of photons.

Give the applications photocell.

How do we obtain characteristic x-ray spectra?

How many photons per second emanate from a 50 mW laser of 640 nm?

Calculate the maximum kinetic energy and maximum velocity of the photoelectrons emitted when the stopping potential is 81 V for the photoelectric emission experiment.

Calculate the energies of the photons associated with the following radiation:

1. violet light of 413 nm
2. X-rays of 0.1 nm
3. radio waves of 10 m

A 150 W lamp emits light of the mean wavelength of 5500 Å. If the efficiency is 12%, find out the number of photons emitted by the lamp in one second.

How many photons of frequency 10¹⁴ Hz will make up 19.86 J of energy?

What should be the velocity of the electron so that its momentum equals that of 4000 Å wavelength photon.

When a light of frequency 9 × 10¹⁴ Hz is incident on a metal surface, photoelectrons are emitted with a maximum speed of 8 × 10⁵ ms⁻¹. Determine the threshold frequency of the surface.

When a 6000 Å light falls on the cathode of a photo cell, photoemission takes place. If a potential of 0.8 V is required to stop emission of electron, then determine the

1. frequency of the light
2. energy of the incident photon
3. work function of the cathode material
4. threshold frequency and
5. net energy of the electron after it leaves the surface.

A 3310 Å photon liberates an electron from a material with energy 3 × 10⁻¹⁹ J while another 5000 Å photon ejects an electron with energy 0.972 × 10⁻¹⁹ J from the same material. Determine the value of Planck’s constant and the threshold wavelength of the material.

At the given point of time, the earth receives energy from the sun at 4 cal cm^–2 min^–1. Determine the number of photons received on the surface of the Earth per cm2 per minute. (Given: Mean wavelength of sunlight = 5500 Å)

UV light of wavelength 1800 Å is incident on a lithium surface whose threshold wavelength is 4965 Å. Determine the maximum energy of the electron emitted.

Calculate the de Broglie wavelength of a proton whose kinetic energy is equal to 81.9 × 10^–15 J.
(Given: mass of proton is 1836 times that of electron).

A deuteron and an alpha particle are accelerated with the same potential. Which one of the two has

1. greater value of de Broglie wavelength associated with it and
2. less kinetic energy?

Explain.

An electron is accelerated through a potential difference of 81 V. What is the de Broglie wavelength associated with it? To which part of the electromagnetic spectrum does this wavelength correspond?

The ratio between the de Broglie wavelength associated with proton accelerated through a potential of 512 V and that of alpha particle accelerated through a potential of X volts is found to be one. Find the value of X.