Dual Nature of Radiation PYQs - Last 5 Years

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Practice 109 JEE Main Physics questions from Dual Nature of Radiation. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Last 5 Years Dual Nature of Radiation Questions

Showing 50 of 109 filtered questions.

1Dual Nature Of Radiation

In a photoelectric effect experiment a light of frequency 1.5 times the threshold frequency is made to fall on the surface of photosensitive material. Now if the frequency is halved and intensity is doubled, the number of photo electrons em...

2Dual Nature Of Radiation

The work function of a substance is \(3.0 \mathrm{~eV}\). The longest wavelength of light that can cause the emission of photoelectrons from this substance is approximately;

3Dual Nature Of Radiation

If the total energy transferred to a surface in time \(\mathrm{t}\) is \(6.48 \times 10^5 \mathrm{~J}\), then the magnitude of the total momentum delivered to this surface for complete absorption will be:

4Dual Nature Of Radiation

For the photoelectric effect, the maximum kinetic energy \(\left(E_k\right)\) of the photoelectrons is plotted against the frequency \((v)\) of the incident photons as shown in figure. The slope of the graph gives

5Dual Nature Of Radiation

The de-Broglie wavelength of an electron is the same as that of a photon. If velocity of electron is \(25 \%\) of the velocity of light, then the ratio of K.E. of electron and K.E. of photon will be:

6Dual Nature Of Radiation

Two sources of light emit with a power of \(200 \mathrm{~W}\). The ratio of number of photons of visible light emitted by each source having wavelengths \(300 \mathrm{~nm}\) and \(500 \mathrm{~nm}\) respectively, will be :

7Dual Nature Of Radiation

The threshold frequency of a metal with work function \(6.63 \mathrm{~eV}\) is :

8Dual Nature Of Radiation

The de Broglie wavelengths of a proton and an $\alpha$ particle are $\lambda$ and $2 \lambda$ respectively. The ratio of the velocities of proton and $\alpha$ particle will be :

9Dual Nature Of Radiation

Conductivity of a photodiode starts changing only if the wavelength of incident light is less than $660 \mathrm{~nm}$. The band gap of photodiode is found to be $\left(\frac{\mathrm{X}}{8}\right) \mathrm{eV}$. The value of $\mathrm{X}$ is :...

10Dual Nature Of Radiation

Monochromatic light of frequency $6 \times 10^{14} \mathrm{~Hz}$ is produced by a laser. The power emitted is $2 \times 10^{-3} \mathrm{~W}$. How many photons per second on an average, are emitted by the source ?
(Given $\mathrm{h}=6.63 \ti...

11Dual Nature Of Radiation

Proton \((\mathrm{P})\) and electron (e) will have same de-Broglie wavelength when the ratio of their momentum is (assume, \(\mathrm{m}_{\mathrm{p}}=1849 \mathrm{~m}_{\mathrm{e}}\) ):

12Dual Nature Of Radiation

In photo electric effect
A. The photocurrent is proportional to the intensity of the incident radiation
B. Maximum Kinetic energy with which photoelectrons are emitted depends on the intensity of incident light.
C. Max. K.E with which photo...

13Dual Nature Of Radiation

The kinetic energy of an electron, \(\alpha\)-particle and a proton are given as \(4 \mathrm{~K}, 2 \mathrm{~K}\) and \(\mathrm{K}\) respectively. The de-Broglie wavelength associated with electron \((\lambda \mathrm{e}), \alpha\)-particle ...

14Dual Nature Of Radiation

The work functions of Aluminium and Gold are \(4.1 ~\mathrm{eV}\) and and \(5.1 ~\mathrm{eV}\) respectively. The ratio of the slope of the stopping potential versus frequency plot for Gold to that of Aluminium is

15Dual Nature Of Radiation

If a source of electromagnetic radiation having power \(15 \mathrm{~kW}\) produces \(10^{16}\) photons per second, the radiation belongs to a part of spectrum is.
(Take Planck constant \(h=6 \times 10^{-34} \mathrm{Js}\) )

16Dual Nature Of Radiation

Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R
Assertion A : The beam of electrons show wave nature and exhibit interference and diffraction.
Reason R : Davisson Germer Experimentally v...

17Dual Nature Of Radiation

If the two metals $\mathrm{A}$ and $\mathrm{B}$ are exposed to radiation of wavelength $350 \mathrm{~nm}$. The work functions of metals $\mathrm{A}$ and $\mathrm{B}$ are $4.8 \mathrm{eV}$ and $2.2 \mathrm{eV}$. Then choose the correct optio...

18Dual Nature Of Radiation

A small object at rest, absorbs a light pulse of power \(20 \mathrm{~mW}\) and duration \(300 \mathrm{~ns}\). Assuming speed of light as \(3 \times 10^{8} \mathrm{~m} / \mathrm{s}\), the momentum of the object becomes equal to :

19Dual Nature Of Radiation

An electron accelerated through a potential difference $V_{1}$ has a de-Broglie wavelength of $\lambda$. When the potential is changed to $V_{2}$, its de-Broglie wavelength increases by $50 \%$. The value of $\left(\frac{V_{1}}{V_{2}}\right...

20Dual Nature Of Radiation

The threshold wavelength for photoelectric emission from a material is 5500 \(\mathop A\limits^o\). Photoelectrons will be emitted, when this material is illuminated with monochromatic radiation from a
A. 75 W infra-red lamp
B. 10 W infra-...

21Dual Nature Of Radiation

The ratio of de-Broglie wavelength of an \(\alpha\) particle and a proton accelerated from rest by the same potential is \(\frac{1}{\sqrt m}\), the value of m is -

22Dual Nature Of Radiation

Electron beam used in an electron microscope, when accelerated by a voltage of 20 kV, has a de-Broglie wavelength of \(\lambda_0\). IF the voltage is increased to 40 kV, then the de-Broglie wavelength associated with the electron beam would...

23Dual Nature Of Radiation

Given below are two statements :
Statement I : Stopping potential in photoelectric effect does not depend on the power of the light source.
Statement II : For a given metal, the maximum kinetic energy of the photoelectron depends on the wav...

24Dual Nature Of Radiation

From the photoelectric effect experiment, following observations are made. Identify which of these are correct.
A. The stopping potential depends only on the work function of the metal.
B. The saturation current increases as the intensity o...

25Dual Nature Of Radiation

An \(\alpha\)-particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in case of their de-Broglie wavelength:

26Dual Nature Of Radiation

A proton moving with one tenth of velocity of light has a certain de Broglie wavelength of \(\lambda\). An alpha particle having certain kinetic energy has the same de-Brogle wavelength \(\lambda\). The ratio of kinetic energy of proton and...

27Dual Nature Of Radiation

The threshold frequency of a metal is \(f_{0}\). When the light of frequency \(2 f_{0}\) is incident on the metal plate, the maximum velocity of photoelectrons is \(v_{1}\). When the frequency of incident radiation is increased to $$5 \math...

28Dual Nature Of Radiation

The de Broglie wavelength of an electron having kinetic energy $\mathrm{E}$ is $\lambda$. If the kinetic energy of electron becomes $\frac{E}{4}$, then its de-Broglie wavelength will be :

29Dual Nature Of Radiation

The difference between threshold wavelengths for two metal surfaces \(\mathrm{A}\) and \(\mathrm{B}\) having work function \(\phi_{A}=9 ~\mathrm{eV}\) and \(\phi_{B}=4 \cdot 5 ~\mathrm{eV}\) in \(\mathrm{nm}\) is:
\(\{\) Given, hc $$=1242 ~...

30Dual Nature Of Radiation

An atom absorbs a photon of wavelength \(500 \mathrm{~nm}\) and emits another photon of wavelength \(600 \mathrm{~nm}\). The net energy absorbed by the atom in this process is \(n \times 10^{-4} ~\mathrm{eV}\). The value of n is __________....

INTEGER+4 / -12023

31Dual Nature Of Radiation

Given below are two statements:
Statement I : Out of microwaves, infrared rays and ultraviolet rays, ultraviolet rays are the most effective for the emission of electrons from a metallic surface.
Statement II : Above the threshold frequency...

32Dual Nature Of Radiation

A proton and an \(\alpha\)-particle are accelerated from rest by \(2 \mathrm{~V}\) and \(4 \mathrm{~V}\) potentials, respectively. The ratio of their de-Broglie wavelength is :

33Dual Nature Of Radiation

A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six different wavelengths. The frequency of incident light is $$x \times 10^{15} \mathrm{~H...

INTEGER+4 / -12023

34Dual Nature Of Radiation

A metallic surface is illuminated with radiation of wavelength \(\lambda\), the stopping potential is \(V_{0}\). If the same surface is illuminated with radiation of wavelength \(2 \lambda\). the stopping potential becomes $$\frac{V_{o}}{4}...

35Dual Nature Of Radiation

The ratio of the de-Broglie wavelengths of proton and electron having same Kinetic energy :
(Assume \(m_{p}=m_{e} \times 1849\) )

36Dual Nature Of Radiation

The de Broglie wavelength of a molecule in a gas at room temperature (300 K) is \(\lambda_1\). If the temperature of the gas is increased to 600 K, then the de Broglie wavelength of the same gas molecule becomes

37Dual Nature Of Radiation

The variation of stopping potential \(\left(\mathrm{V}_{0}\right)\) as a function of the frequency \((v)\) of the incident light for a metal is shown in figure. The work function of the surface is

38Dual Nature Of Radiation

A source of monochromatic light liberates 9 \(\times\) 1020 photon per second with wavelength 600 nm when operated at 400 W. The number of photons emitted per second with wavelength of 800 nm by the source of monochromatic light operating a...

39Dual Nature Of Radiation

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R :
Assertion A : The photoelectric effect does not takes place, if the energy of the incident radiation is less than the work function of a...

40Dual Nature Of Radiation

The electric field at a point associated with a light wave is given by
E = 200 [sin (6 \(\times\) 1015)t + sin (9 \(\times\) 1015)t] Vm\(-\)1
Given : h = 4.14 \(\times\) 10\(-\)15 eVs
If this light falls on a metal surface having a work fun...

41Dual Nature Of Radiation

The kinetic energy of emitted electron is E when the light incident on the metal has wavelength \(\lambda\). To double the kinetic energy, the incident light must have wavelength:

42Dual Nature Of Radiation

An \(\alpha\) particle and a proton are accelerated from rest through the same potential difference. The ratio of linear momenta acquired by above two particles will be:

43Dual Nature Of Radiation

The de Broglie wavelengths for an electron and a photon are \(\lambda\)e and \(\lambda\)p respectively. For the same kinetic energy of electron and photon, which of the following presents the correct relation between the de Broglie waveleng...

44Dual Nature Of Radiation

Let K1 and K2 be the maximum kinetic energies of photo-electrons emitted when two monochromatic beams of wavelength \(\lambda\)1 and \(\lambda\)2, respectively are incident on a metallic surface. If \(\lambda\)1 = 3\(\lambda\)2 then :

45Dual Nature Of Radiation

The equation \(\lambda=\frac{1.227}{x} \mathrm{~nm}\) can be used to find the de-Brogli wavelength of an electron. In this equation \(x\) stands for :
Where
\(\mathrm{m}=\) mass of electron
\(\mathrm{P}=\) momentum of electron
$$\mathrm{K}=...

46Dual Nature Of Radiation

Two streams of photons, possessing energies equal to five and ten times the work function of metal are incident on the metal surface successively. The ratio of maximum velocities of the photoelectron emitted, in the two cases respectively, ...

47Dual Nature Of Radiation

An \(\alpha\) particle and a carbon 12 atom has same kinetic energy K. The ratio of their de-Broglie wavelengths \(({\lambda _\alpha }:{\lambda _{C12}})\) is :

48Dual Nature Of Radiation

An electron (mass \(\mathrm{m}\)) with an initial velocity \(\vec{v}=v_{0} \hat{i}\left(v_{0}>0\right)\) is moving in an electric field \(\vec{E}=-E_{0} \hat{i}\left(E_{0}>0\right)\) where \(E_{0}\) is constant. If at \(\mathrm{t}=0\) de Br...

49Dual Nature Of Radiation

With reference to the observations in photo-electric effect, identify the correct statements from below :
(A) The square of maximum velocity of photoelectrons varies linearly with frequency of incident light.
(B) The value of saturation cur...

50Dual Nature Of Radiation

An electron with speed v and a photon with speed c have the same de-Broglie wavelength. If the kinetic energy and momentum of electron are Ee and pe and that of photon are Eph and pph respectively. Which of the following is correct?