JEE Questions for Physics Dual Nature Of Radiation And Matter Quiz 16 - MCQExams.com

The energy that should be added to an electron, to reduce its de-Broglie wavelength from 10–10m to0.5 × 10–10 m, will be
  • Four times the initial energy
  • Thrice the initial energy
  • Equal to the initial energy
  • Twice the initial energy
If particles are moving with same velocity, then maximum de-Broglie wavelength will be for
  • Neutron
  • Proton
  • β–particle
  • α–particle
If an electron and a photon propagate in the form of waves having the same wavelength, it implies that they have the same
  • Energy
  • Momentum
  • Velocity
  • Angular momentum
The de-Broglie wavelength is proportional to

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Particle nature and wave nature of electromagneticwaves and electrons can be shown by
  • Electron has small mass, deflected by the metal sheet
  • X-rays is diffracted, reflected by thick metal sheet
  • Light is refracted and defracted
  • Photoelectricity and defracted
The de-Broglie wavelength of a particle moving with a velocity 2.25 × 108 m/s is equal to the wavelength of photon. The ratio of kinetic energy of the particle to the energy of the photon is (velocity of light is 3 × 108 m/s)
  • 1/8
  • 3/8
  • 5/8
  • 7/8
According to de-Broglie, the de-Broglie wavelength for electron in an orbit of (radius 5.3 × 1011 m) hydrogen atom is 10–10 m. The principle quantum number of this electron is
  • 1
  • 2
  • 3
  • 4
The speed of an electron having a wavelength of10–10 m is
  • 7.25 × 106 m/s
  • 6.26 × 106 m/s
  • 5.25 × 106 m/s
  • 4.24 × 106 m/s
A proton accelerated through a potential V has de-Broglie wavelength λ. Then the de-Broglie wavelength of an α–particle, when accelerated through the same potential V is

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    Physics-Dual Nature of Radiation and Matter-68194.png

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λe,λp and λα are the de-Broglie wavelengths of electron, proton and a particle. If all are accelerated by same potential, then
  • λe<λp<λα
  • λe<λp>λα
  • λe>λp<λα
  • λe =λp<λα
  • λe>λp>λα
When the momentum of a proton is changed by an amount Po, the corresponding change in the de-Broglie wavelength is found to be 0.25%. Then, the original momentum of the proton was
  • P0
  • 100 P0
  • 400 P0
  • 4 P0
The de-Broglie wavelength of a neutron at 27°C is λ.What will be its wavelength at 927°C
  • λ /2
  • λ /3
  • λ /4
  • λ /9
An electron and proton have the same de-Broglie wavelength. Then the kinetic energy of the electron is
  • Zero
  • Infinity
  • Equal to the kinetic energy of the proton
  • Greater than the kinetic energy of the proton
For moving ball of cricket, the correct statement aboutde-Broglie wavelength is
  • It is not applicable for such big particle
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    Physics-Dual Nature of Radiation and Matter-68203.png

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Photon and electron are given same energy (10–20 J). Wavelength associated with photon and electron are λPhand λel, then correct statement will be

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    Physics-Dual Nature of Radiation and Matter-68207.png

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A proton and an α–particle are accelerated through a potential difference of 100V. The ratio of the wavelength associated with the proton to thatassociated with an α–particle is

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  • 2 : 1

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de-Broglie wavelength of a body of mass 1 kg movingwith velocity of 2000 m/s is
  • 3.3 ×10–27Å
  • 1.5 × 107Å
  • 0.55 × 10–22 Å
  • None of these
The kinetic energy of an electron is 5 eV. Calculate the de-Broglie wavelength associated with it
(h = 6.6 × 10–34Js, me = 9.1 × 10–31 kg)
  • 5.47 Å
  • 10.9 Å
  • 2.7 Å
  • None of these
The de-Broglie wavelength of a proton (charge = 1.6 × 10–19 C, mass = 1.6 × 10–27 kg) accelerated through a potential difference of 1 kV is
  • 600 Å
  • 0.9 × 10–12 m
  • 7 Å
  • 0.9 nm
The de-Broglie wavelength λ
  • Is proportional to mass
  • Is proportional to impulse
  • Inversely proportional to impluse
  • Does not depend on impulse
If the kinetic energy of the particle is increased by 16 times, the percentage change in the de-Broglie wavelength of the particle is
  • 25%
  • 75%
  • 60%
  • 50%
If Alpha, Beta and Gamma rays carry same momentum, which has the longest wavelength?
  • Alpha rays
  • Beta rays
  • Gamma rays
  • None, all have same wavelength
The wavelength of the matter wave is independent of
  • Mass
  • Velocity
  • Momentum
  • Charge
The ratio of the de-Broglie wavelengths of an electron of energy 10 eV to that of person of mass 66 kg travelling at a speed of 100 km/hr is of the order of
  • 1034
  • 1027
  • 1017
  • 10–10
Electrons used in an electron microscope are accelerated by a voltage of 25 kV. If the voltage is increased to 100 kV then the de-Broglie wavelength associated with the electrons would
  • Increase by 4 times
  • Increase by 2 times
  • Decrease by 2 times
  • Decrease by 4 times
If a proton and electron have the same de-Broglie wavelength, then
  • Kinetic energy of electron < kinetic energy of proton
  • Kinetic energy of electron = kinetic energy of proton
  • Momentum of electron > momentum of proton
  • Momentum of electron = momentum of proton
  • Momentum of electron < momentum of proton
An α–particle moves in a circular path of radius 0.83 cm in the presence of a magnetic field of 0.25 Wb/m2. The de Broglie wavelength associated with the particle will be
  • 1Å
  • 0.1 Å
  • 10 Å
  • 0.01 Å
The momentum of a photon is 3.3 × 10–29 kg-m/sec. Its frequency will be
  • 3 × 103 Hz
  • 6 × 103 Hz
  • 7.5 × 1012 Hz
  • 1.5 × 1013 Hz
The energy of a photon of wavelength λ is given by
  • hλ
  • chλ
  • λ/hc
  • hc/λ
The momentum of a photon is 2 × 10–16gm–cm/sec. Its energy is
  • 0.61 × 10–26 erg
  • 2.0 × 10–26 erg
  • 6 × 10–6 erg
  • 6 × 10–8 erg
The rest mass of the photon is
  • 0
  • ∞
  • Between 0 and ∞
  • Equal to that of an electron
The momentum of a photon of energy hv will be
  • hv
  • hv /c
  • hvc
  • h /v
A photon in motion has a mass
  • c /hv
  • h /v
  • hv
  • hv /c2
If the momentum of a photon is p, then its frequency is
Where m is the rest mass of the photon?

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Choose the correct statement
  • Photoelectric effect can take place from bound electron
  • Photoelectric effect can take place from free electron
  • Photoelectric effect can take place from bounded or free electron
  • Nothing can be said
Photoelectric effect is an example of
  • Elastic collision
  • Inelastic collision
  • Two dimensional collision
  • Oblique collision
The energy of a photon of light of wavelength 450 nm is
  • 4.4 × 10–19 J
  • 2.5 × 10–19 J
  • 1.25 × 10–17 J
  • 2.5 × 10–17 J
The value of Plank energy is

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    Physics-Dual Nature of Radiation and Matter-68241.png

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The electrons are emitted in the photoelectric effect from a metal surface
  • Only if the frequency of the incident radiation is above a certain threshold value
  • Only if the temperature of the surface is high
  • At a rate that is independent of the nature of the metal
  • With a maximum velocity proportional to the frequency of the incident radiation
The work function of a metal is 4.2 eV, its threshold wavelength will be
  • 4000 Å
  • 3500 Å
  • 2946 Å
  • 2500 Å
The number of photo-electrons emitted per second from a metal surface increases when
  • The energy of incident photons increases
  • The frequency of incident light increases
  • The wavelength of the incident light increases
  • The intensity of the incident light increases
The work function of metal is 1 eV. Light of wavelength 3000 Å is incident on this metal surface. The velocity of emitted photo-electrons will be
  • 10 m/s
  • 1 × 103 m/s
  • 1 × 104 m/s
  • 1 × 106 m/s
Energy from the sun is received on earth at the rate of 2 cal per cm2 per min. If average wavelength of solar light be taken at 5500 Å then how many photons are received on the earth per cm2 per min?
(h = 6.6 × 10–34 J-s, 1 cal = 4.2 J)
  • 1.5 × 1013
  • 2.9 × 1013
  • 2.3 × 1019
  • 1.75 × 1019
The work function of a metallic surface is 5.01 eV. The photo-electrons are emitted when light of wavelength 2000 A falls on it. The potential difference applied to stop the fastest photo-electrons is
[h = 4.14 × 10–15 eV sec]
  • 1.2 volts
  • 2.24 volts
  • 3.6 volts
  • 4.8 volts
A photon of energy E ejects a photo electron from a metal surface whose work function is W0. If this electron enters into a uniform magnetic field of induction B in a direction perpendicular to the field and describes a circular path of radius r, then the radius r, is given by, (in the usual notation)

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    Physics-Dual Nature of Radiation and Matter-68256.png

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A radio transmitter operates at a frequency of 880 kHz and a power of 10 kW. The number of photons emittedper second are
  • 13.27 × 1034
  • 0.075 × 10–34
  • 1.72 × 1031
  • 1327 × 1034
A photo cell is receiving light from a source placed at a distance of 1 m. If the same source is to be placed at a distance of 2 m, then the ejected electron
  • Moves with one-fourth energy as that of the initial energy
  • Moves with one-fourth of momentum as that of the initial momentum
  • Will be half in number
  • Will be one-fourth in number
Among the following four spectral regions, the photons has the highest energy in
  • Infrared
  • Violet
  • Red
  • Blue
The maximum wavelength of radiation that can produce photoelectric effect in a certain metal is 200 nm. The maximum kinetic energy acquired by electron due to radiation of wavelength 100 nm will be
  • 12.4 eV
  • 6.2 eV
  • 100 eV
  • 200 eV
The minimum energy required to remove an electron is called
  • Stopping potential
  • Kinetic energy
  • Work function
  • None of these
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