Dual nature of radiation and matter practice · Mixed difficulty

The work function of Cesium metal is 2.15 eV. When light of frequency $6 \times {10^{14}}\,Hz$ is incident on metal surface, photoemission occurs. Maximum kinetic energy of emitted photon electron will be

Which is the correct ascending order of wavelengths?

The wavelength of the waves associated with a proton and a photon are the same. Therefore, the two have equal

A beam of light of wavelength $\lambda$ and with illumination $L$ falls on a clean surface of sodium. If $N$ photoelectrons are emitted each with kinetic energy $E,$ then

An electron (mass m) with an initial velocity $v = {v_0}\hat i$ is in an electric field $E = {E_0}\hat j$ . If initial wavelength ${\lambda _0} = h/m{v_0}$ , then its de Broglie wavelength at time t is given by

Dual nature of radiation is shown by

A photon and electron have same de-Broglie wavelength. Give that $v$ is the speed of electron and $c$ is the velocity of light. ${E_e},\;{E_p}$ are the kinetic energy of electron and photon respectively. ${p_e},\;{p_h}$ are the momentum of electron and photon respectively. Then which of the following relation is correct?

The maximum velocity of the photoelectrons emitted from the surface is v when light of frequency n falls on a metal surface. If the incident frequency is increased to $3\mu$, the maximum velocity of the ejected photoelectrons will be

An ionisation chamber, with parallel conducting plates as anode and cathodes has $5 \times {10^7}\mathrm{\;c}{\mathrm{m}^{ - 3}}$ electrons and the same number of singly charged positive ions per $\mathrm{c}{\mathrm{m}^3}$. The electrons are moving toward the anode with velocity 0.4$\mathrm{m}{\mathrm{s}^{ - 1}}$. The current density from anode to cathode is $4\mathrm{\mu A}{\mathrm{m}^{ - 2}}.$ The velocity of positive ions moving towards cathode is

The colour of the positive column in a gas discharge tube depends on

A particle with rest mass zero is moving speed $c$. The de-Broglie wavelength associated with it

The linear momentum of photon is $p$. The wavelength of photon is $\lambda \;,$ then ($h$ is Planck constant)

Which of the following statement is not true about stopping potential $\left(\mathrm{V}_0\right)?$

The time taken by a photoelectron to come out after the photon strikes is approximately

The maximum kinetic energy of photoelectron liberated from the surface of lithium (work function $=2.35 \mathrm{~eV}$) by electromagnetic radiation whose electric component varies with time as $E=a[1+\cos (2 \pi f_1 t)], \cos \left(2 \pi f_2 t\right)$ where '$a$' is a constant, $f_1=3.6 \times 10^{15} \mathrm{~Hz}$ and $f_2=1.2 \times 10^{15} \mathrm{~Hz}$ is:
[Take: $h=6.6 \times 10^{-34} \mathrm{~J}-\mathrm{s}$]

If a photon has velocity $c$ and frequency $v,$ then which of following represents its wavelength

If an electron and a proton have the same de-Broglie wavelength, then the kinetic energy of the electron is

A light of wavelength 4000 $\mathop A\limits^ \circ$ is allowed to fall on a metal surface having work function 2 eV. The maximum velocity of the emitted electrons is $(R = 6.6 \times {10^{ - 34}}$Js)

Momentum of a photon is $p.$ The corresponding wavelength is

An $X$-ray pulse of wavelength $4.9\;\mathop A\limits^ \circ$ is sent through a section of Wilson cloud chamber containing a super saturated gas, and tracks of photoelectron ejected from the gaseous atoms are observed. Two groups of tracks of lengths $1.40\;cm$ and $2.02\;cm$ are noted. If the range-energy relation for cloud chamber is given by $R = \alpha E$ with $\alpha = 1cm/keV,$ obtain the binding energies of the two levels from which electrons are emitted. Given $h = 6.63 \times {10^{ - 34}}J - s,e = 1.6 \times {10^{ - 19}}J$

Statement-1: When ultraviolet light is incident on a photocell, its stopping potential is ${V}_0$ and the maximum kinetic energy of the photoelectrons is ${K}_{\max }$. When the ultraviolet light is replaced by ${X}$ rays, both ${V}_0$ and ${K}_{\max }$ increases.

Statement-2: Photoelectrons are emitted with speeds ranging from zero to a maximum value because of the range of frequencies present in the incident light.

Statement 1: Photodiodes are operated in reverse bias.

Statement 2: The current in photodiodes is proportional to light intensity.

Einstein’s photoelectric equation states that $Ek = hv - \phi .$ In this equation ${E_k}$ refers to

A monochromatic light is incident on a metallic plate having work function $\phi.$ An electron, emitted normally to the plate from a point $A$ with maximum kinetic energy, enters a constant magnetic field, perpendicular to the initial velocity of electron. The electron passes through a curve and hits back the plate at a point B. The distance between A and B is:

(Given: The magnitude of charge of an electron is 'e' and mass is 'm', 'h' is Planck's constant and 'c' is velocity of light. Take the magnetic field exists throughout the path of electron)

A 100 W light bulb is placed at the centre of a spherical chamber of radius 0.10m. Assume that 66% of the energy supplied to the bulb is converted into light and that the surface of chamber is perfectly absorbing. The pressure exerted by the light on the surface of the chamber is

The ratio of the power of a light source $\text{S}_1$ to that the light source $\mathrm{S}_2$ is 2. $\mathrm{S}_1$ is emitting $2 \times 10^{15}$ photons per second at 600 nm. If the wavelength of the source $\text{S}_2$ is 300 nm, then the number of photons per second emitted by $\mathrm{S}_2$ is _____ $\times 10^{14}.$

Positive rays consists of

Kinetic energy of emitted cathode rays is dependent on

In cathode ray oscillograph, the focusing of beam on the screen is achieved by

A photocell works on the principle of