Dual Nature of Radiation PYQs - Last 10 Years

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Last 10 Years Dual Nature of Radiation Questions

Showing 50 of 185 filtered questions.

1Dual Nature Of Radiation

The stopping potential for photoelectrons emitted from a surface illuminated by light of wavelength 6630 \(\mathop A\limits^o\) is 0.42 V. If the threshold frequency is x \(\times\) 1013 /s, where x is _________ (nearest integer).
(Given, ...

INTEGER+4 / -12022

2Dual Nature Of Radiation

A metal surface is illuminated by a radiation of wavelength 4500 \(\mathop A\limits^o\). The ejected photo-electron enters a constant magnetic field of 2 mT making an angle of 90\(^\circ\) with the magnetic field. If it starts revolving in...

3Dual Nature Of Radiation

A parallel beam of light of wavelength \(900 \mathrm{~nm}\) and intensity \(100 \,\mathrm{Wm}^{-2}\) is incident on a surface perpendicular to the beam. The number of photons crossing \(1 \mathrm{~cm}^{2}\) area perpendicular to the beam in...

4Dual Nature Of Radiation

Given below are two statements :
Statement I : Davisson-Germer experiment establishes the wave nature of electrons.
Statement II : If electrons have wave nature, they can interfere and show diffraction.
In the light of the above statements ...

5Dual Nature Of Radiation

A proton, a neutron, an electron and an \(\alpha\) particle have same energy. If \(\lambda\)p, \(\lambda\)n, \(\lambda\)e and \(\lambda\)a are the de Broglie's wavelengths of proton, neutron, electron and \(\alpha\) particle respectively, t...

6Dual Nature Of Radiation

A metal exposed to light of wavelength \(800 \mathrm{~nm}\) and and emits photoelectrons with a certain kinetic energy. The maximum kinetic energy of photo-electron doubles when light of wavelength \(500 \mathrm{~nm}\) is used. The workfunc...

7Dual Nature Of Radiation

The ratio of wavelengths of proton and deuteron accelerated by potential Vp and Vd is 1 : \(\sqrt2\). Then the ratio of Vp to Vd will be :

8Dual Nature Of Radiation

When light of frequency twice the threshold frequency is incident on the metal plate, the maximum velocity of emitted electron is v1. When the frequency of incident radiation is increased to five times the threshold value, the maximum veloc...

INTEGER+4 / -12022

9Dual Nature Of Radiation

The light of two different frequencies whose photons have energies 3.8 eV and 1.4 eV respectively, illuminate a metallic surface whose work function is 0.6 eV successively. The ratio of maximum speeds of emitted electrons for the two freque...

10Dual Nature Of Radiation

A moving proton and electron have the same de-Broglie wavelength. If K and P denote the K.E. and momentum respectively. Then choose the correct option :

11Dual Nature Of Radiation

Consider two separate ideal gases of electrons and protons having same number of particles. The temperature of both the gases are same. The ratio of the uncertainty in determining the position of an electron to that of a proton is proportio...

12Dual Nature Of Radiation

A free electron of 2.6 eV energy collides with a H+ ion. This results in the formation of a hydrogen atom in the first excited state and a photon is released. Find the frequency of the emitted photon. (h = 6.6 \(\times\) 10\(-\)34 Js)

13Dual Nature Of Radiation

A particle of mass 9.1 \(\times\) 10\(-\)31 kg travels in a medium with a speed of 106 m/s and a photon of a radiation of linear momentum 10\(-\)27 kg m/s travels in vacuum. The wavelength of photon is __________ times the wavelength of the...

INTEGER+4 / -12021

14Dual Nature Of Radiation

An electron and proton are separated by a large distance. The electron starts approaching the proton with energy 3 eV. The proton captures the electron and forms a hydrogen atom in second excited state. The resulting photon is incident on a...

15Dual Nature Of Radiation

In a photoelectric experiment, increasing the intensity of incident light :

16Dual Nature Of Radiation

A monochromatic neon lamp with wavelength of 670.5 nm illuminates a photo-sensitive material which has a stopping voltage of 0.48 V. What will be the stopping voltage if the source light is changed with another source of wavelength of 474.6...

17Dual Nature Of Radiation

Given below are two statements : one is labeled as Assertion A and the other is labelled as Reason R.Assertion A : An electron microscope can achieve better resolving power than an optical microscope.Reason R : The de Broglie's wavelength o...

18Dual Nature Of Radiation

Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the metal surface successively. The value of ratio of maximum velocities of the photoelectrons emitted in the two respective ...

INTEGER+4 / -12021

19Dual Nature Of Radiation

The recoil speed of a hydrogen atom after it emits a photon in going from n = 5 state to n = 1 state will be :

20Dual Nature Of Radiation

In a photoelectric experiment ultraviolet light of wavelength 280 nm is used with lithium cathode having work function \(\phi\) = 2.5 eV. If the wavelength of incident light is switched to 400 nm, find out the change in the stopping potenti...

21Dual Nature Of Radiation

The de-Broglie wavelength of a particle having kinetic energy E is \(\lambda\). How much extra energy must be given to this particle so that the de-Broglie wavelength reduces to 75% of the initial value?

22Dual Nature Of Radiation

A particle of mass 4M at rest disintegrates into two particles of mass M and 3M respectively having non zero velocities. The ratio of de-Broglie wavelength of particle of mass M to that of mass 3M will be :

23Dual Nature Of Radiation

What should be the order of arrangement of de-Broglie wavelength of electron (\(\lambda\)e), an \(\alpha\)-particle (\(\lambda\)a) and proton (\(\lambda\)p) given that all have the same kinetic energy?

24Dual Nature Of Radiation

A light beam of wavelength 500 nm is incident on a metal having work function of 1.25 eV, placed in a magnetic field of intensity B. The electrons emitted perpendicular to the magnetic field B, with maximum kinetic energy are bent into circ...

INTEGER+4 / -12021

25Dual Nature Of Radiation

When radiation of wavelength \(\lambda\) is incident on a metallic surface, the stopping potential of ejected photoelectrons is 4.8 V. If the same surface is illuminated by radiation of double the previous wavelength, then the stopping pote...

26Dual Nature Of Radiation

An electron moving with speed v and a photon moving with speed c, have same D-Broglie wavelength. The ratio of kinetic energy of electron to that of photon is :

27Dual Nature Of Radiation

An \(\alpha\) particle and a proton are accelerated from rest by a potential difference of 200V. After this, their de Broglie wavelengths are \(\lambda\)\(\alpha\) and \(\lambda\)p respectively. The ratio $${{{{\lambda _p}} \over {{\lambda ...

28Dual Nature Of Radiation

An electron of mass me and a proton of mass mp = 1836 me are moving with the same speed. The ratio of their de Broglie wavelength \({{{}^\lambda electron} \over {{}^\lambda proton}}\) will be :

29Dual Nature Of Radiation

The stopping potential for electrons emitted from a photosensitive surface illuminated by light of wavelength 491 nm is 0.710 V. When the incident wavelength is changed to a new value, the stopping potential is 1.43 V. The new wavelength is...

30Dual Nature Of Radiation

Given below are two statements : Statement I : Two photons having equal linear momenta have equal wavelengths.Statement II : If the wavelength of photon is decreased, then the momentum and energy of a photon will also decrease.In the light ...

31Dual Nature Of Radiation

The de-Broglie wavelength of a proton and \(\alpha\)-particle are equal. The ratio of their velocities is :

32Dual Nature Of Radiation

An X-ray tube is operated at 1.24 million volt. The shortest wavelength of the produced photon will be :

33Dual Nature Of Radiation

An electron of mass me and a proton of mass mp are accelerated through the same potential difference. The ratio of the de-Broglie wavelength associated with the electron to that with the proton is

34Dual Nature Of Radiation

The radiation corresponding to 3 \(\to\) 2 transition of a hydrogen atom falls on a gold surface to generate photoelectrons. The electrons are passed through a magnetic field of 5 \(\times\) 10\(-\)4 T. Assume that the radius of the largest...

35Dual Nature Of Radiation

A certain metallic surface is illuminated by monochromatic radiation of wavelength \(\lambda\). The stopping potential for photoelectric current for this radiation is 3V0. If the same surface is illuminated with a radiation of wavelength 2$...

INTEGER+4 / -12021

36Dual Nature Of Radiation

An electron having de-Broglie wavelength \(\lambda\) is incident on a target in a X-ray tube. Cut-off wavelength of emitted X-ray is :

37Dual Nature Of Radiation

The temperature of an ideal gas in 3-dimensions is 300 K. The corresponding de-Broglie wavelength of the electron approximately at 300 K, is :[me = mass of electron = 9 \(\times\) 10\(-\)31 kg, h = Planck constant = 6.6 \(\times\) 6.6 $$\ti...

38Dual Nature Of Radiation

A particle is travelling 4 time as fast as an electron. Assuming the ratio of de-Broglie wavelength of a particle to that of electron is 2 : 1, the mass of the particle is :

39Dual Nature Of Radiation

The speed of electrons in a scanning electron microscope is 1 \(\times\) 107 ms-1. If the protons having the same speed are used instead of electrons, then the resolving power of scanning proton microscope will be changed by a factor of :

40Dual Nature Of Radiation

An electron of mass m and a photon have same energy E. The ratio of wavelength of electron to that of photon is : (c being the velocity of light)

41Dual Nature Of Radiation

Two identical photocathodes receive the light of frequencies f1 and f2 respectively. If the velocities of the photo-electrons coming out are v1 and v2 respectively, then

42Dual Nature Of Radiation

The stopping potential in the context of photoelectric effect depends on the following property of incident electromagnetic radiation :

43Dual Nature Of Radiation

The de-Broglie wavelength associated with an electron and a proton were calculated by accelerating them through same potential of 100 V. What should nearly be the ratio of their wavelengths? (mp = 1.00727u me = 0.00055u)

44Dual Nature Of Radiation

A particle moving with kinetic energy E has
de Broglie wavelength \(\lambda\). If energy \(\Delta\)E is added
to its energy, the wavelength become \(\lambda\)/2. Value
of \(\Delta\)E, is :

45Dual Nature Of Radiation

Radiation, with wavelength 6561 \(\mathop A\limits^o\) falls on a
metal surface to produce photoelectrons. The
electrons are made to enter a uniform magnetic
field of 3 × 10–4 T. If the radius of the largest
circular path followed by the e...

46Dual Nature Of Radiation

An electron of mass m and magnitude of charge
|e| initially at rest gets accelerated by a constant
electric field E. The rate of change of de-Broglie
wavelength of this electron at time t ignoring
relativistic effects is :

47Dual Nature Of Radiation

When photon of energy 4.0 eV strikes the
surface of a metal A, the ejected photoelectrons
have maximum kinetic energy TA eV end
de-Broglie wavelength \(\lambda _A\). The maximum
kinetic energy of photoelectrons liberated from
another metal ...

48Dual Nature Of Radiation

An electron (mass m) with initial velocity \(\overrightarrow v = {v_0}\widehat i + {v_0}\widehat j\) is in an electric field \(\overrightarrow E = - {E_0}\widehat k\). If \(\lambda _0\) is initial de-Broglie wavelength of electron,
its d...

49Dual Nature Of Radiation

A beam of electromagnetic radiation of intensity 6.4 × 10–5 W/cm2 is comprised of wavelength,
\(\lambda\) = 310 nm. It falls normally on a metal (work function \(\phi\) = 2eV) of surface area of 1 cm2. If one
in 103 photons ejects an elct...

INTEGER+4 / -02020

50Dual Nature Of Radiation

An electron (of mass m) and a photon have the same energy E in the range of a few eV. The ratio
of the de-Broglie wavelength associated with the electron and the wavelength of the photon is (c
= speed of light in vaccuum)