Dual Nature of Radiation and Matter Practice Test

12th Standard Physics — Dual Nature of Radiation and Matter: Online Practice Test

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The wavelength \(\lambda_e\) of an electron and \(\lambda_p\) of a photon of same energy E are related by

A.\(\lambda_p \propto \lambda_e\) B.\(\lambda_p \propto \sqrt{\lambda_e}\) C.\(\lambda_p \propto \frac{1}{\sqrt{\lambda_e}}\) D.\(\lambda_p \propto \lambda_e^2\)

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

A.increase by 2 times B.decrease by 2 times C.decrease by 4 times D.increase by 4 times

The wave associated with a moving particle of mass \(3 \times 10^{-6}\) g has the same wavelength as an electron moving with a velocity \(6 \times 10^6\) m s\(^{-1}\). The velocity of the particle is

A.\(1.82 \times 10^{-18}\) m s\(^{-1}\) B.\(9 \times 10^{-2}\) m s\(^{-1}\) C.\(3 \times 10^{-31}\) m s\(^{-1}\) D.\(1.82 \times 10^{-15}\) m s\(^{-1}\)

When a metallic surface is illuminated with radiation of wavelength \(\lambda\), the stopping potential is V. If the same surface is illuminated with radiation of wavelength \(2\lambda\), the stopping potential is \(V/4\). The threshold wavelength for the metallic surface is

A.\(4\lambda\) B.\(5\lambda\) C.\(\frac{5}{2}\lambda\) D.\(3\lambda\)

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 = \(6.6 \times 10^{-34}\) Js)

A.\(< 2.75 \times 10^{-9}\) m B.\(\ge 2.75 \times 10^{-9}\) m C.\(\le 2.75 \times 10^{-12}\) m D.\(< 2.75 \times 10^{-10}\) m

A photoelectric surface is illuminated successively by monochromatic light of wavelength \(\lambda\) and \(\lambda/2\). 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

A.\(\frac{hc}{\lambda}\) B.\(\frac{2hc}{\lambda}\) C.\(\frac{hc}{3\lambda}\) D.\(\frac{hc}{2\lambda}\)

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

A.\(\sqrt{\frac{hv_0}{m}}\) B.\(\sqrt{\frac{6hv_0}{m}}\) C.\(\sqrt{\frac{2hv_0}{m}}\) D.\(\sqrt{\frac{hv_0}{2m}}\)

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.1:4 B.1:3 C.1:1 D.1:9

A light source of wavelength 520 nm emits \(1.04 \times 10^{15}\) photons per second while the second source of 460 nm produces \(1.38 \times 10^{15}\) photons per second. Then the ratio of power of second source to that of first source is

A.1.00 B.1.02 C.1.5 D.0.98

Q10

The threshold wavelength for a surface \(\lambda_0\) is 6000 Å. The maximum kinetic energy of photoelectrons emitted by radiation of wavelength 4000 Å is

A.1.03 eV B.2.06 eV C.3.09 eV D.0.52 eV

Q11

When a photon of energy 7 eV is incident on a metal surface, the maximum kinetic energy of photoelectron is 4 eV. The stopping potential is

A.7 V B.4 V C.3 V D.11 V

Q12

If the energy of the photon is increased by a factor of 4, then its momentum is increased by a factor of

A.4 B.2 C.4 D.2

Q13

Photons of wavelength \(\lambda\) 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

A.\(\frac{hc}{\lambda} - \frac{m_e c^2 + e^2 B^2 R^2}{2m_e}\) B.\(\frac{hc}{\lambda} + \frac{(eBR)^2}{2m_e}\) C.\(\frac{hc}{\lambda} - \frac{m_e c^2 - e^2 B^2 R^2}{2m_e}\) D.\(\frac{hc}{\lambda} - \frac{(eBR)^2}{2m_e}\)

Q14

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 4100 Å is/are

A.A only B.both A and B C.all these metals D.none

Q15

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

A.photoelectric B.field C.thermionic D.secondary

Q16

Which method of electron emission involves the application of a strong external electric field to pull electrons from a metal surface?

A.Thermionic emission B.Field emission C.Photoelectric emission D.Secondary emission

Q17

In the observations of Hallwachs, what happened to a negatively charged zinc plate when it was irradiated with ultraviolet light?

A.It became more negative B.It lost its negative charge C.It remained unchanged D.It released positive ions

Q18

The minimum frequency of incident radiation required to trigger photoelectric emission for a specific metallic surface is known as the:

A.Stopping frequency B.Cut-off wavelength C.Threshold frequency D.Quantized frequency

Q19

How does the stopping potential change if the intensity of incident light is doubled while keeping the frequency constant?

A.It is doubled B.It is quadrupled C.It is halved D.It remains the same

Q20

According to Einstein's quantum explanation, the energy of a single photon of frequency \(\nu\) is given by:

A.\(E = \frac{1}{2} h \nu\) B.\(E = h \nu\) C.\(E = h \lambda\) D.\(E = \frac{h}{\nu}\)

Q21

According to de Broglie's hypothesis, if a particle's momentum increases, its associated matter wavelength will:

A.Increase B.Decrease C.Remain constant D.Become zero

Q22

The de Broglie wavelength of an electron accelerated through a potential difference of \(V\) volts is approximately given by which expression?

A.\(\lambda = \frac{12.27}{\sqrt{V}}\) \AA B.\(\lambda = \frac{1.227}{\sqrt{V}}\) \AA C.\(\lambda = 12.27 \sqrt{V}\) \AA D.\(\lambda = \frac{\sqrt{V}}{12.27}\) \AA

Q23

The Davisson-Germer experiment was historically significant because it experimentally verified:

A.The particle nature of light B.The wave nature of material particles C.The existence of X-rays D.The quantization of electric charge

Q24

In an electron microscope, the components used to focus the electron beam are known as:

A.Optical glass lenses B.Polished silver mirrors C.Electric or magnetic fields D.Diffraction gratings

Q25

Which of the following occurs during the production of X-rays in a Coolidge tube?

A.Slow electrons collide with gas molecules B.Fast electrons are suddenly decelerated by a target C.Protons are emitted from a hot filament D.Light is converted into high-energy electrons

Q26

In a continuous X-ray spectrum, the minimum wavelength (cut-off wavelength \(\lambda_0\)) is determined solely by the:

A.Atomic number of the target B.Intensity of the electron beam C.Accelerating potential difference D.Temperature of the target

Q27

The sharp peaks observed in characteristic X-ray spectra are produced by:

A.The thermal heating of the anode B.Electronic transitions between inner atomic shells C.Scattering of electrons by air molecules D.Reflection of electrons from the glass tube

Q28

A device that converts incident light energy into electrical energy using the principle of the photoelectric effect is a:

A.Thermocouple B.Photoelectric cell C.Galvanometer D.Transformer

Q29

The work function of a metal surface is most commonly measured in which of the following units?

A.Watt B.Tesla C.Electron volt (eV) D.Ohm

Q30

The conclusion that light propagates as a wave but interacts with matter as a stream of particles is described as:

A.Wave-particle duality B.Electromagnetic induction C.The uncertainty principle D.Wavefront division

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About this Dual Nature of Radiation and Matter test

This free online practice test covers Dual Nature of Radiation and Matter from the 12th Standard Physics (Samacheer Kalvi) syllabus. Choose the number of questions and an optional time limit, then answer and submit — everything is checked in your browser, with the correct answers and a worked explanation shown at the end. For the full solutions to every question in this set, see the solved MCQs page.

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