Dual Nature of Radiation and Matter

A beam of light falls on a metal surface such that photo-electrons are generated. If power of the light source starts to decrease linearly with time $t$, then variation of the photocurrent $I$ and magnitude of the stopping potential $|V|$ w...

A ray of light with wavelength $\lambda$ is incident on three different photoelectric cells namely 1,2 and 3 . The threshold wavelength of these photoelectric cells are $\lambda_1, \lambda_2$, and $\lambda_3$, respectively and the magnitude...

A photon and an electron, each of 20 eV energy, move in free space. The ratio of linear momentum of electron $\mathrm{p}_{\mathrm{e}}$ to that of photon $\mathrm{p}_{\mathrm{Ph}}, \frac{\mathrm{p}_{\mathrm{e}}}{\mathrm{p}_{\mathrm{Ph}}}$ is...

For a metal of work function 6.6 eV , which of the following wavelengths of incident radiation does not give rise to the photoelectric effect?
(Take Planck's constant as $6.6 \times 10^{-34} \mathrm{~J} \mathrm{~s}$ )

\(\text { Match List I with List II. }\)
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Which of the following options represent the variation of photoelectric current with property of light shown on the x-axis?

De-Broglie wavelength of an electron orbiting in the $n=2$ state of hydrogen atom is close to
(Given Bohr radius $=0.052 \mathrm{~nm}$ )

A photon and an electron (mass $m$ ) have the same energy $E$. The ratio ( $\lambda_{\text {photon }} / \lambda_{\text {electron }}$ ) of their de Broglie wavelengths is: ( $c$ is the speed of light)

If \(\phi\) is the work function of photosensitive material in \(\mathrm{eV}\) and light of wavelength of numerical value \(\lambda=\frac{h c}{e}\) metre, is incident on it with energy above its threshold value at an instant then the maximu...

An electron and an alpha particle are accelerated by the same potential difference. Let \(\lambda_e\) and \(\lambda_\alpha\) denote the de-Broglie wavelengths of the electron and the alpha particle, respectively, then:

The graph which shows the variation of \(\left(\frac{1}{\lambda^2}\right)\) and its kinetic energy, \(E\) is (where \(\lambda\) is de Broglie wavelength of a free particle):

If \(c\) is the velocity of light in free space, the correct statements about photon among the following are:
A. The energy of a photon is \(E=h v\).
B. The velocity of a photon is \(c\).
C. The momentum of a photon, \(p=\frac{h v}{c}\).
D....

The maximum kinetic energy of the emitted photoelectrons in photoelectric effect is independent of:

The de Broglie wavelength associated with an electron, accelerated by a potential difference of 81 V is given by:

The minimum wavelength of \(X\)-rays produced by an electron accelerated through a potential difference of \(V\) volts is proportional to :

The work functions of Caesium \((\mathrm{Cs})\), potassium \((\mathrm{K})\) and Sodium (Na) are \(2.14 ~\mathrm{eV}, 2.30 ~\mathrm{eV}\) and \(2.75 ~\mathrm{eV}\) respectively. If incident electromagnetic radiation has an incident energy of...

The threshold frequency of a photoelectric metal is v0. If light of frequency 4v0 is incident on this metal, then the maximum kinetic energy of emitted electrons will be :

The light rays having photons of energy 4.2 eV are falling on a metal surface having a work function of 2.2 eV. The stopping potential of the surface is

When two monochromatic lights of frequency, v and \({v \over 2}\) are incident on a photoelectric metal, their stopping potential becomes \({{{V_s}} \over 2}\) and Vs respectively. The threshold frequency for this metal is

An electromagnetic wave of wavelength '\(\lambda\)' is incident on a photosensitive surface of negligible work function. If 'm' mass is of photoelectron emitted from the surface has de-Broglie wavelength \(\lambda\)d, then :

The number of photons per second on an average emitted by the source of monochromatic light of wavelength 600nm, when it delivers the power of 3.3 \(\times\) 10\(-\)3 watt will be : (h = 6.6 \(\times\) 10\(-\)34 Js)

Light with an average flux of 20 W/cm2 falls on a non-reflecting surface at normal incidence having surface area 20 cm2. The energy received by the surface during time span of 1 minute is :

Light of frequency 1.5 times the threshold frequency is incident on a photosensitive material. What will be the photoelectric current if the frequency is halved and intensity is doubled?

An electron is accelerated from rest through a potential difference of V volt. If the de-Broglie wavelength of the electron is 1.227 \(\times\) 10-2 nm, the potential difference is :

An electron is accelerated through a potential difference of 10,000 V. Its de Broglie wavelength is (nearly) : (me = 9 \(\times\) 10–31 kg)

An electron of mass m with an initial velocity
\(\overrightarrow v = {v_0}\widehat i\) (v0 > 0)
enters an electric field
\(\overrightarrow E = - {\overrightarrow E _0}\widehat i\)
(E0
= constant > 0) at t = 0. If \(\lambda\)0
is its ...

When the light of frequency 2\({\upsilon _0}\)
(where \({\upsilon _0}\)
is
threshold frequency), is incident on a metal
plate, the maximum velocity of electrons
emitted is v1
. When the frequency of the
incident radiation is increased to ...

The de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature T (kelvin) and mass m, is

The photoelectric threshold wavelength of silver is 3250 \(\times\) 10\(-\)10 m. The velocity of the electron ejected from a silver surface by ultraviolet light of wavelength 2536 \(\times\) 10\(-\)10 m is
{Given h = 4.14 \(\times\) ...

Electrons of mass m with de-Broglie wavelength \(\lambda\) fall on the target in an X-ray tube. The cutoff wavelength (\(\lambda\)0) of the emitted X-ray is

Photons with energy 5 eV are incifent on a cathode C in a photoelectric cell. The maximum energy of emitted photoelectrons is 2 eV. When photons of energy 6 eV are incident on C, no photoelectrons will reach the anode A, if the stopping pot...

When a metallic surface is illuminated with radiation of wavelength \(\lambda\), the stopping potential is V. If the same surface is illuminated with radiation of wavelength 2 \(\lambda\), the stopping potential is \({V \over 4}\). The th...

An electron of mass m and a photon have same energy E. The ratio of de-Broglie wavelengths associated with them is

Which of the following figures represent the variation of particle momentum and the associated de-Broglie wavelength?

A certain metallic surface is illuminated with monochromatic light of wavelength, \(\lambda .\) The stopping potential for photo-electric current for this light is 3V0. If the same surface is illuminated with light of wavelength 2 $$\lambda...

Light of wavelength 500 nm is incifent on a metal with work function 2.28 eV. The de Broglie wavelength of the emitted electron is

A photoelectric surface is illuminated successively by monochromatic light of wavelength \(\lambda\) and \(\lambda/2\). If the maximum kinetic energy of the emitted photoelectrons in the second case is 3 times that in the first case, the ...

When the energy of the incident radiation is increased nby 20%, the kinetic energy of the photoelectrons emitted from a metal surface increased from 0.5 eV to 0.8 eV. The work function of the metal is

If the kinetic energy of the particle is increased to 16 times its previous value, the percentage change in the de Broglie wavelength of the particle is

The de-broglie wavelength of neutrons in thermal equilibrium at temperature T is

A source of light is placed at a distance of 50 cm from a photo cell and the stopping potential is found to be V0. If the distance between the light source and photo cell is made 25 cm, the new stopping potential will be :

The wavelength \(\lambda\)e of an electron and \(\lambda\)p of a photon of same energy E are related by

For photoelectric emission from certain metal the cutoff frequency is \(\upsilon\). If radiation of frequency 2\(\upsilon\) impinges on the metal plate, the maximum possible velocity of the emitted electron will be (m is the electron mass...

A parallel beam of fast moving electrons is incident normally on a narrow slit. A fluorescent screen is placed at a large distance from the slit. If the speed of the electrons is increased, which of the following statements is correct ?

An \(\alpha\)-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

A 200 W sodium street lamp emits yellow light of wavelength 0.6 \(\mu\)m. Assuming it to be 25% efficient in converting electrical energy to light, the number of photons of yellow light it emits per second is

Monochromatic radiation emitted when electron on hydrogen atom jumps from first excited to the ground state irradiates a photosensitive material. The stopping potential is measured to be 3.57 V. The threshold frequency of the material is

If the momentum of an electron is changed by P, then the de Broglie wavelength associated with changes by 0.5%. The initial momentum of electron will be

Two radiations of photons energies 1 eV and 2.5 eV, successively illuminate a photosensitive metallic surface of work function 0.5 eV. The ratio of the maximum speeds of the emitted electrons is

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