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JEE Dual Nature of Matter PYQs with Solutions

419 previous year questions from Dual Nature of Matter (JEE Main & Advanced Physics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

419 questionsPhysics2005–2026Answers + solutions

About Dual Nature of Matter PYQs

Dual Nature of Matter has 419 previous year questions in the Quantrex Academy JEE Main & Advanced Physics bank. The 220 questions in this list come from JEE Main (200) and JEE Advanced (20), spanning 2005 to 2026. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2026: 17
  • 2025: 18
  • 2024: 22
  • 2023: 26
  • 2022: 22
  • 2021: 31
  • 2020: 15
  • 2019: 18
  • 2018: 4
  • 2017: 4
  • 2016: 5
  • 2015: 6

Dual Nature of Matter questions with solutions

1

K_1 and K_2 be the maximum kinetic energies of photoelectrons emitted from a surface of a given material for the light of wavelength λ_1 and λ_2 , respectively. If λ_1=2λ_2 then

JEE Main 2026 Solution View → 2

The de Broglie wavelength for an electron accelerated through the potential difference of V_1 volt is λ_1 . When the potential difference is changed to V_2 volt, the associated de

JEE Main 2026 Solution View → 3

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The electromagnetic wave exerts pressure on the surface on

JEE Main 2026 Solution View → 4

An electron is travelling with a velocity v in free space and when it enters a medium, its velocity is reduced by 20\% . The de Broglie wavelength of electron in the medium is

JEE Main 2026 Solution View → 5

An electron of mass m is moving in an electric field E = -2E_0 i ( E_0 = constant > 0 ), with an initial velocity V = v_0 i ( v_0 = constant > 0 ). If λ_0 = (h)/(4mv_0) , its de

JEE Main 2026 Solution View → 6

Light source having wavelength 331 nm is used to generate photo-electrons whose stopping potential is 0.2 V. The work function of the used metal in the experiment is α × 10^ -19

JEE Main 2026 Solution View → 7

Match the LIST-I with LIST-II List-I List-II A. Planck's constant I. ML^2T^ -2 B. Stopping potential II. T^ -1 C. Work function III. ML^2T^ -1 D. Threshold frequency IV. ML^2T^ -3

JEE Main 2026 Solution View → 8

The de Broglie wavelength associated with an electron accelerated through a potential difference V is λ_e and the de Broglie wavelength associated with a proton accelerated

JEE Main 2026 Solution View → 9

The graph shows variation of stopping potential V_o with the frequency ν of the incident radiation for three photosensitive metals X_1 , X_2 and X_3 . Which metal will give out

JEE Main 2026 Solution View → 10

For a certain metal, when monochromatic light of wavelength λ is incident, the stopping potential for photoelectrons is 3V_0 . When the same metal is illuminated by light of

JEE Main 2026 Solution View → 11

Number of photons of equal energy emitted per second by a 6 mW laser source operating at 663 nm is \_\_\_\_ . (Given : h=6.63 × 10^ -34 ~J. s and c=3 × 10^ 8 ~m / s )

JEE Main 2026 Solution View → 12

The ratio of de Broglie wavelength of a deutron with kinetic energy E to that of an alpha particle with kinetic energy 2 E , is n: 1 . The value of n is \_\_\_\_ . (Assume mass of

JEE Main 2026 Solution View → 13

When a light of a given wavelength falls on a metallic surface the stopping potential for photoelectrons is 3.2 V. If a second light having wavelength twice of first light is

JEE Main 2026 Solution View → 14

The de Broglie wavelength of an oxygen molecule at 27^ ∘ C is x × 10^ -12 ~m . The value of x is (take Planck's constant =6.63 × 10^ -34 ~J. s , Boltzmann constant =1.38 × 10^ -23

JEE Main 2026 Solution View → 15

Light is incident on a metallic plate having work function 110 × 10^ -20 ~J . If the produced photoelectrons have zero kinetic energy then the angular frequency of the incident

JEE Main 2026 Solution View → 16

A particle having electric charge 3 × 10^ -19 C and mass 6 × 10^ -27 ~kg is accelerated by applying an electric potential of 1.21 V. Wavelength of the matter wave associated with

JEE Main 2026 Solution View → 17

A light wave described by E=60[ (3 × 10^ 15 ) t+ (12 × 10^ 15 ) t] (in SI units) falls on a metal surface of work function 2.8 eV. The maximum kinetic energy of ejected

JEE Main 2026 Solution View → 18

A photo-emissive substance is illuminated with a radiation of wavelength λ_i so that it releases electrons with de-Broglie wavelength λ_e . The longest wavelength of radiation

JEE Main 2025 Solution View → 19

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: In photoelectric effect, on increasing the intensity of incident

JEE Main 2025 Solution View → 20

A small mirror of mass m is suspended by a massless thread of length l . Then the small angle through which the thread will be deflected when a short pulse of laser of energy E

JEE Main 2025 Solution View → 21

The radiation pressure exerted by a 450 W light source on a perfectly reflecting surface placed at 2 m away from it, is :

JEE Main 2025 Solution View → 22

The work function of a metal is 3 eV. The color of the visible light that is required to cause emission of photoelectrons is

JEE Main 2025 Solution View → 23

An electron with mass ' m ' with an initial velocity (t=0) v =v_0 i (v_0 0) enters a magnetic field B =B_0 j . If the initial de-Broglie wavelength at t=0 is λ_0 then its value

JEE Main 2025 Solution View → 24

A monochromatic light is incident on a metallic plate having work function φ . An electron, emitted normally to the plate from a point A with maximum kinetic energy, enters a

JEE Main 2025 Solution View → 25

In an experiment with photoelectric effect, the stopping potential,

JEE Main 2025 Solution View → 26

If \(λ\) and \(K\) are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass. The correct graphical representation for the particle will be

JEE Main 2025 Solution View → 27

A proton of mass ' m_ p ' has same energy as that of a photon of wavelength ' λ '. If the proton is moving at non-relativistic speed, then ratio of its de Broglie wavelength to

JEE Main 2025 Solution View → 28

In photoelectric effect, the stopping potential (V_0) v / s frequency (ν) curve is plotted. ( h is the Planck's constant and φ_0 is work function of metal ) (A) V_0 v / s ν is

JEE Main 2025 Solution View → 29

The energy E and momentum p of a moving body of mass m are related by some equation. Given that c represents the speed of light, identify the correct equation

JEE Main 2025 Solution View → 30

An electron of mass ' m ' with an initial velocity v =v_0 i (v_0 0) enters an electric field E =-E_ o k . If the initial de Broglie wavelength is λ_0 , the value after time t

JEE Main 2025 Solution View → 31

In photoelectric effect an em-wave is incident on a metal surface and electrons are ejected from the surface. If the work function of the metal is 2.14 eV and stopping potential

JEE Main 2025 Solution View → 32

A sub-atomic particle of mass 10^ -30 ~kg is moving with a velocity 2.21 × 10^6 ~m / s . Under the matter wave consideration, the particle will behave closely like (h=6.63 × 10^

JEE Main 2025 Solution View → 33

A light source of wavelength λ illuminates a metal surface and electrons are ejected with maximum kinetic energy of 2 eV . If the same surface is illuminated by a light source of

JEE Main 2025 Solution View → 34

An electron in the ground state of the hydrogen atom has the orbital radius of 5.3 × 10^ -11 ~m while that for the electron in third excited state is 8.48 × 10^ -10 ~m . The ratio

JEE Main 2025 Solution View → 35

The work functions of cesium (Cs) and lithium (Li) metals are 1.9 eV and 2.5 eV , respectively. If we incident a light of wavelength 550 nm on these two metal surfaces, then

JEE Main 2025 Solution View → 36

UV light of 4.13 eV is incident on a photosensitive metal surface having work function 3.13 eV . The maximum kinetic energy of ejected photoelectrons will be:

JEE Main 2024 Solution View → 37

A proton, an electron and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as :

JEE Main 2024 Solution View → 38

A proton and an electron have the same de Broglie wavelength. If K_ p and K_ e be the kinetic energies of proton and electron respectively, then choose the correct relation :

JEE Main 2024 Solution View → 39

A proton and an electron are associated with same de-Broglie wavelength. The ratio of their kinetic energies is: (Assume h=6.63 × 10^ -34 ~J ~s, ~m_ e =9.0 × 10^ -31 ~kg and m_ p

JEE Main 2024 Solution View → 40

Average force exerted on a non-reflecting surface at normal incidence is 2.4 × 10^ -4 ~N . If 360 ~W / cm^2 is the light energy flux during span of 1 hour 30 minutes, Then the

JEE Main 2024 Solution View → 41

When UV light of wavelength 300 ~nm is incident on the metal surface having work function 2.13 eV , electron emission takes place. The stopping potential is: (Given hc =1240 eV nm

JEE Main 2024 Solution View → 42

In photoelectric experiment energy of 2.48 eV irradiates a photo sensitive material. The stopping potential was measured to be 0.5 ~V . Work function of the photo sensitive

JEE Main 2024 Solution View → 43

Which of the following phenomena does not explain by wave nature of light. A. reflection B. diffraction C. photoelectric effect D. interference E. polarization Choose the most

JEE Main 2024 Solution View → 44

Which of the following statement is not true about stopping potential (V_0) ?

JEE Main 2024 Solution View → 45

Given below are two statements : Statement I : Figure shows the variation of stopping potential with frequency (v) for the two photosensitive materials M_1 and M_2 . The slope

JEE Main 2024 Solution View → 46

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Number of photons increases with increase in frequency of light.

JEE Main 2024 Solution View → 47

Which figure shows the correct variation of applied potential difference (V) with photoelectric current (I) at two different intensities of light (I_1 < I_2) of same wavelengths :

JEE Main 2024 Solution View → 48

Monochromatic light of frequency 6 × 10 ^ 14 Hz is produced by a laser. The power emitted is 2 × 10 ^ - 3 W . How many photons per second on an average, are emitted by the source?

JEE Main 2024 Solution View → 49

The de Broglie wavelengths of a proton and an α particle are λ and 2λ respectively. The ratio of the velocities of proton and α particle will be :

JEE Main 2024 Solution View → 50

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

JEE Main 2024 Solution View → 51

When a metal surface is illuminated by light of wavelength λ , the stopping potential is 8V . When the same surface is illuminated by light of wavelength 3λ , stopping potential

JEE Main 2024 Solution View → 52

If the total energy transferred to a surface in time t is 6 . 48 × 10 ^ 5 J , then the magnitude of the total momentum delivered to this surface for complete absorption will be :

JEE Main 2024 Solution View → 53

For the photoelectric effect, the maximum kinetic energy ( E _ k ) of the photoelectrons is plotted against the frequency ( v ) of the incident photons as shown in figure. The

JEE Main 2024 Solution View → 54

The work function of a substance is 3 . 0eV . The longest wavelength of light that can cause the emission of photoelectrons from this substance is approximately:

JEE Main 2024 Solution View → 55

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

JEE Main 2024 Solution View → 56

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

JEE Main 2024 Solution View → 57

The threshold frequency of a metal with work function 6 . 63eV is :

JEE Main 2024 Solution View → 58

A Hydrogen-like atom has atomic number Z . Photons emitted in the electronic transitions from level n = 4 to level n = 3 in these atoms are used to perform photoelectric effect

JEE Advanced 2023 Solution View → 59

The de Broglie wavelength of an electron having kinetic energy E is λ . If the kinetic energy of electron becomes (E)/(4) , then its de-Broglie wavelength will be:

JEE Main 2023 Solution View → 60

The difference between threshold wavelengths for two metal surfaces A and B having work function ϕ _ A = 9eV and ϕ _ B = 4 . 5eV in nm is: Given, hc = 1242eVnm

JEE Main 2023 Solution View → 61

A proton and an α -particle are accelerated from rest by 2V and 4V potentials, respectively. The ratio of their de-Broglie wavelength is :

JEE Main 2023 Solution View → 62

The ratio of the de-Broglie wavelengths of proton and electron having same kinetic energy: (Assume m _ p = m _ e × 1849 )

JEE Main 2023 Solution View → 63

A metallic surface is illuminated with radiation of wavelength λ , the stopping potential is V _ 0 . If the same surface is illuminated with radiation of wavelength 2λ , the

JEE Main 2023 Solution View → 64

The variation of stopping potential ( V _ 0 ) as a function of the frequency ( ν ) of the incident light for a metal is shown in figure. The work function of the surface is

JEE Main 2023 Solution View → 65

The de Broglie wavelength of a molecule in a gas at room temperature (300K) is λ _ 1 . If the temperature of the gas is increased to 600K , then the de Broglie wavelength of the

JEE Main 2023 Solution View → 66

In photoelectric effect A. The photocurrent is proportional to the intensity of the incident radiation. B. Maximum kinetic energy with which photoelectrons are emitted depends on

JEE Main 2023 Solution View → 67

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

JEE Main 2023 Solution View → 68

The work functions of Aluminium and Gold are 4 . 1eV and 5 . 1eV respectively. The ratio of the slope of the stopping potential versus frequency plot for Gold to that of Aluminium

JEE Main 2023 Solution View → 69

The kinetic energy of an electron, α - particle and a proton are given as 4K, 2K and K respectively. The de-Broglie wavelength associated with electron ( λ _ e ) , α - particle (

JEE Main 2023 Solution View → 70

The threshold frequency of metal is f _ 0 . When the light of frequency 2 f _ 0 is incident on the metal plate, the maximum velocity of photoelectron is v _ 1 . When the frequency

JEE Main 2023 Solution View → 71

A proton moving with one tenth of velocity of light has a certain de Broglie wavelength of λ . An alpha particle having certain kinetic energy has the same de-Brogle wavelength λ

JEE Main 2023 Solution View → 72

If the two metals A and B are exposed to radiation of wavelength 350nm . The work functions of metals A and B are 4 . 8eVand2 . 2eV . Then choose the correct option

JEE Main 2023 Solution View → 73

If a source of electromagnetic radiation having power 15kW produces 10 ^ 16 photons per second, the radiation belongs to a part of spectrum is : (Take Planck constant h = 6 × 10 ^

JEE Main 2023 Solution View → 74

A point source of 100W emits light with 5 % efficiency. At a distance of 5m from the source, the intensity produced by the electric field component is:

JEE Main 2023 Solution View → 75

An electron accelerated through a potential difference V _ 1 has a de-Broglie wavelength of λ . When the potential is changed to V _ 2 , its de-Broglie wavelength increases by 50

JEE Main 2023 Solution View → 76

A small object at rest, absorbs a light pulse of power 20mW and duration 300ns . Assuming speed of light as 3 × 10 ^ 8 m s ^ - 1 . The momentum of the object becomes equal to :

JEE Main 2023 Solution View → 77

A point source of light is placed at the centre of curvature of a hemispherical surface. The source emits a power of 24W . The radius of curvature of hemisphere is 10cm and the

JEE Main 2023 Solution View → 78

The ratio of de-Broglie wavelength of an α -particle and a proton accelerated from rest by the same potential is 1 m , the value of m is:

JEE Main 2023 Solution View → 79

The threshold wavelength for photoelectric emission from a material is 5500 ∘ A . Photoelectrons will be emitted, when this material is illuminated with monochromatic radiation

JEE Main 2023 Solution View → 80

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

JEE Main 2023 Solution View → 81

Electron beam used in an electron microscope, when accelerated by a voltage of 20kV has a de-Broglie wavelength of λ _ 0 . If the voltage is increased to 40kV then the de-Broglie

JEE Main 2023 Solution View → 82

An α 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:

JEE Main 2023 Solution View → 83

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

JEE Main 2023 Solution View → 84

When light of a given wavelength is incident on a metallic surface, the minimum potential needed to stop the emitted photoelectrons is 6 . 0V . This potential drops to 0 . 6V if

JEE Advanced 2022 Solution View → 85

An α particle and a proton are accelerated from rest through the same potential difference. The ratio of linear momenta acquired by above two particals will be :

JEE Main 2022 Solution View → 86

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

JEE Main 2022 Solution View → 87

Two streams of photons, possessing energies to five and ten times the work function of metal are incident on the metal surface successively. The ratio of the maximum velocities of

JEE Main 2022 Solution View → 88

The equation λ = (1 . 227)/(x)nm can be used to find the de-Broglie wavelength of an electron. In this equation x stands for : Where, m = mass of electron P = momentum of electron

JEE Main 2022 Solution View → 89

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

JEE Main 2022 Solution View → 90

An electron (mass m ) with an initial velocity → v = v _ 0 ^ i ( v _ 0 > 0) is moving in an electric field → E = - E _ 0 ^ i ( E _ 0 > 0) where E _ 0 is constant. If at t = 0

JEE Main 2022 Solution View → 91

A nucleus of mass M at rest splits into two parts having masses M ^ ' 3 and 2 M ^ ' 3 ( M ^ ' < M) . The ratio of de Broglie wavelength of two parts will be

JEE Main 2022 Solution View → 92

A parallel beam of light of wavelength 900nm and intensity 100 Wm ^ - 2 is incident on a surface perpendicular to the beam. The number of photons crossing 1 cm ^ 2 area

JEE Main 2022 Solution View → 93

The ratio of wavelengths of proton and deuteron accelerated by potential V _ p and V _ d is 1: 2 . Then, the ratio of V _ p to V _ d will be

JEE Main 2022 Solution View → 94

A metal exposed to light of wavelength 800nm and emits photoelectrons with a certain kinetic energy. The maximum kinetic energy of photo-electron doubles when light of wavelength

JEE Main 2022 Solution View → 95

The electric field at a point associated with a light wave is given by E = 200[sin(6 × 10 ^ 15 )t + sin(9 × 10 ^ 15 )t] Vm ^ - 1 Given: h = 4 . 14 × 10 ^ - 15 eVs If this light

JEE Main 2022 Solution View → 96

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 take place, if the energy of

JEE Main 2022 Solution View → 97

Let K _ 1 and K _ 2 be the maximum kinetic energies of photo-electrons emitted when two monochromatic beams of wavelength λ _ 1 and λ _ 2 , respectively are incident on a metallic

JEE Main 2022 Solution View → 98

The de Broglie wavelengths for an electron and a photon are λ _ e and λ _ p respectively. For the same kinetic energy of electron and photon, which of the following presents the

JEE Main 2022 Solution View → 99

An α particle and a carbon 12 atom has same kinetic energy K . The ratio of their de-Broglie wavelengths ( λ _ α : λ _ C12 ) is

JEE Main 2022 Solution View → 100

The stopping potential for photoelectrons emitted from a surface illuminated by light of wavelength 6630 Å is 0 . 42V . If the threshold frequency is x × 10 ^ 13 s , where x is

JEE Main 2022 Solution View → 101

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 E _ e and P _ e and that of photon are E

JEE Main 2022 Solution View → 102

A proton, a neutron, an electron and an α -particle have same energy. If λ _ p , λ _ n , λ _ e and λ _ α are the de Broglie&#39;s wavelengths of proton, neutron, electron and α

JEE Main 2022 Solution View → 103

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

JEE Main 2022 Solution View → 104

The light of two different frequencies whose photons have energies 3 . 8eV and 1 . 4eV respectively, illuminate a metallic surface whose work function is 0 . 6eV successively. The

JEE Main 2022 Solution View → 105

When light of frequency twice the threshold frequency is incident on the metal plate, the maximum velocity of emitted electron is v _ 1 . When the frequency of incident radiation

JEE Main 2022 Solution View → 106

In a photoemission experiment, the maximum kinetic energies of photoelectrons from metals P, Q and R are E _ P , E _ Q and E _ R , respectively, and they are related by E _ P = 2

JEE Advanced 2021 Solution View → 107

The temperature of an ideal gas in three dimensions is 300K . The corresponding de-Broglie wavelength of the electron approximately at 300K is: [ m _ e =)mass of electron = 9 × 10

JEE Main 2021 Solution View → 108

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

JEE Main 2021 Solution View → 109

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 :

JEE Main 2021 Solution View → 110

A monochromatic neon lamp with wavelength of 670 . 5nm illuminates a photo-sensitive material which has a stopping voltage of 0 . 48V . What will be the stopping voltage if the

JEE Main 2021 Solution View → 111

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

JEE Main 2021 Solution View → 112

The de-Broglie wavelength of a particle having kinetic energy E is λ . How much extra energy must be given to this particle so that the de-Broglie wavelength reduces to 75 % of

JEE Main 2021 Solution View → 113

In a photoelectric experiment, ultraviolet light of wavelength 280nm is used with lithium cathode having work function ϕ = 2 . 5eV . If the wavelength of incident light is

JEE Main 2021 Solution View → 114

An electron and proton are separated by a large distance. The electron starts approaching the proton with energy 3eV . The proton captures the electrons and forms a hydrogen atom

JEE Main 2021 Solution View → 115

A particle of mass 9 . 1 × 10 ^ - 31 kg travels in a medium with a speed of 10 ^ 6 m s ^ - 1 and a photon of radiation of linear momentum 10 ^ - 27 kgm s ^ - 1 travels in a

JEE Main 2021 Solution View → 116

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

JEE Main 2021 Solution View → 117

When radiation of wavelength λ is incident on a metallic surface, the stopping potential of ejected photoelectrons is 4 . 8V . If the same surface is illuminated by radiation of

JEE Main 2021 Solution View → 118

A light beam of wavelength 500nm is incident on a metal having work function of 1 . 25eV , placed in a magnetic field of intensity B . The electrons emitted perpendicular to the

JEE Main 2021 Solution View → 119

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

JEE Main 2021 Solution View → 120

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

JEE Main 2021 Solution View →
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