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Dual Nature of Matter — JEE Main & Advanced Physics PYQs

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

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1

K₁ and K₂ be the maximum kinetic energies of photoelectrons emitted from a surface of a given material for the light of wavelength ₁ and ₂ , respectively. If ₁=2 ₂ then the work fu

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The de Broglie wavelength for an electron accelerated through the potential difference of V₁ volt is ₁ . When the potential difference is changed to V₂ volt, the associated de Brog

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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

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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 ₀ ,

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An electron of mass m is moving in an electric field E = -2E₀ i ( E₀ = constant > 0 ), with an initial velocity V = v₀ i ( v₀ = constant > 0 ). If ₀ = h 4mv₀ , its de Broglie wavel

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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 10⁻¹⁹ J. The v

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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⁻³A⁻¹ Choos

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

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The graph shows variation of stopping potential V_o with the frequency of the incident radiation for three photosensitive metals X₁ , X₂ and X₃ . Which metal will give out electron

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For a certain metal, when monochromatic light of wavelength is incident, the stopping potential for photoelectrons is 3V₀ . When the same metal is illuminated by light of wavelengt

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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 =3 10⁸ ~m / s )

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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 p

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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 used,

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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 ~J / K , mass

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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 light i

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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 the parti

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A light wave described by E=60 [ (3 10¹⁵ ) t+ (12 10¹⁵ ) t ] (in SI units) falls on a metal surface of work function 2.8 eV. The maximum kinetic energy of ejected photoelectron is

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

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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 l

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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 fal

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

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

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An electron with mass ' m ' with an initial velocity ( t =0) v = v ₀ i ( v ₀ 0 ) enters a magnetic field B =B₀ j . If the initial de-Broglie wavelength at t =0 is ₀ then its value

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

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In an experiment with photoelectric effect, the stopping potential,

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If ( ) 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

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

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In photoelectric effect, the stopping potential ( V ₀ ) v / s frequency ( ) curve is plotted. ( h is the Planck's constant and ₀ is work function of metal ) (A) V ₀ v / s is linear

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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

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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 ₀ , the value after time t wo

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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 is

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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 10⁻³⁴ ~J .

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A light source of wavelength 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 wav

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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 of the d

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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 photo-

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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:

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

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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 :

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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 =1836

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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 area of

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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

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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 materia

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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 appr

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Which of the following statement is not true about stopping potential ( V ₀ ) ?

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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 give

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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.

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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

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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? (Giv

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

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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 hal

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

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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 :

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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 slope of t

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

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

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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 p

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

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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 exp

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The de Broglie wavelength of an electron having kinetic energy E is &#955; . If the kinetic energy of electron becomes E 4 , then its de-Broglie wavelength will be:

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The difference between threshold wavelengths for two metal surfaces A and B having work function &#981; A = 9 eV and &#981; B = 4 . 5 eV in nm is: Given, h c = 1242 eV nm

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A proton and an &#945; -particle are accelerated from rest by 2 V and 4 V potentials, respectively. The ratio of their de-Broglie wavelength is :

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The ratio of the de-Broglie wavelengths of proton and electron having same kinetic energy: (Assume m p = m e &#215; 1849 )

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A metallic surface is illuminated with radiation of wavelength &#955; , the stopping potential is V 0 . If the same surface is illuminated with radiation of wavelength 2 &#955; , t

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The variation of stopping potential V 0 as a function of the frequency ( &#957; ) of the incident light for a metal is shown in figure. The work function of the surface is

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The de Broglie wavelength of a molecule in a gas at room temperature 300 K is &#955; 1 . If the temperature of the gas is increased to 600 K , then the de Broglie wavelength of the

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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 t

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

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

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The kinetic energy of an electron, &#945; - particle and a proton are given as 4 K , 2 K and K respectively. The de-Broglie wavelength associated with electron ( &#955; e ) , &#945

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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 of inc

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A proton moving with one tenth of velocity of light has a certain de Broglie wavelength of &#955; . An alpha particle having certain kinetic energy has the same de-Brogle wavelengt

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

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If a source of electromagnetic radiation having power 15 kW produces 10 16 photons per second, the radiation belongs to a part of spectrum is : (Take Planck constant h = 6 &#215; 1

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

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An electron accelerated through a potential difference V 1 has a de-Broglie wavelength of &#955; . When the potential is changed to V 2 , its de-Broglie wavelength increases by 50

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A small object at rest, absorbs a light pulse of power 20 mW and duration 300 ns . Assuming speed of light as 3 &#215; 10 8 m s - 1 . The momentum of the object becomes equal to :

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

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The ratio of de-Broglie wavelength of an &#945; -particle and a proton accelerated from rest by the same potential is 1 m , the value of m is:

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The threshold wavelength for photoelectric emission from a material is 5500 A &#8728; . Photoelectrons will be emitted, when this material is illuminated with monochromatic radiati

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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 ma

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Electron beam used in an electron microscope, when accelerated by a voltage of 20 kV has a de-Broglie wavelength of &#955; 0 . If the voltage is increased to 40 kV then the de-Brog

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An &#945; 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:

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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 me

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

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An &#945; 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 :

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The kinetic energy of emitted electron is E when the light incident on the metal has wavelength &#955; . To double the kinetic energy, the incident light must have wavelength:

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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

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The equation &#955; = 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 electro

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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 fr

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An electron (mass m ) with an initial velocity v &#8594; = v 0 i ^ v 0 &#62; 0 is moving in an electric field E &#8594; = - E 0 i ^ E 0 &#62; 0 where E 0 is constant. If at t = 0 ,

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A nucleus of mass M at rest splits into two parts having masses M ' 3 and 2 M ' 3 M ' &#60; M . The ratio of de Broglie wavelength of two parts will be

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

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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

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

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The electric field at a point associated with a light wave is given by E = 200 sin 6 &#215; 10 15 t + sin 9 &#215; 10 15 t Vm - 1 Given: h = 4 . 14 &#215; 10 - 15 eVs If this light

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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 t

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Let K 1 and K 2 be the maximum kinetic energies of photo-electrons emitted when two monochromatic beams of wavelength &#955; 1 and &#955; 2 , respectively are incident on a metalli

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The de Broglie wavelengths for an electron and a photon are &#955; e and &#955; p respectively. For the same kinetic energy of electron and photon, which of the following presents

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An &#945; particle and a carbon 12 atom has same kinetic energy K . The ratio of their de-Broglie wavelengths &#955; &#945; : &#955; C 12 is

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The stopping potential for photoelectrons emitted from a surface illuminated by light of wavelength 6630 &#8491; is 0 . 42 V . If the threshold frequency is x &#215; 10 13 s , wher

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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 p h

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A proton, a neutron, an electron and an &#945; -particle have same energy. If &#955; p , &#955; n , &#955; e and &#955; &#945; are the de Broglie&#39;s wavelengths of proton, neutr

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 interfere

JEE Main 2022 Solution View → 104

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. T

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 is

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 E Q = 2

JEE Advanced 2021 Solution View → 107

The temperature of an ideal gas in three dimensions is 300 K . The corresponding de-Broglie wavelength of the electron approximately at 300 K is: m e = mass of electron = 9 &#215;

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 . 5 nm illuminates a photo-sensitive material which has a stopping voltage of 0 . 48 V . What will be the stopping voltage if the s

JEE Main 2021 Solution View → 111

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

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The de-Broglie wavelength of a particle having kinetic energy E is &#955; . How much extra energy must be given to this particle so that the de-Broglie wavelength reduces to 75 % o

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In a photoelectric experiment, ultraviolet light of wavelength 280 nm is used with lithium cathode having work function &#981; = 2 . 5 eV . If the wavelength of incident light is s

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

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A particle of mass 9 . 1 &#215; 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 kg m s - 1 travels in a vacuum. The

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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:

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When radiation of wavelength &#955; is incident on a metallic surface, the stopping potential of ejected photoelectrons is 4 . 8 V . If the same surface is illuminated by radiation

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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

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What should be the order of arrangement of de-Broglie wavelength of electron &#955; e , an &#945; -particle &#955; &#945; and proton &#955; p given that all have the same kinetic e

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

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