Dual nature of radiation and matter practice · Mixed difficulty

Given below are tow statements:
Statement I The photons having equal linear momenta have equal wavelengths.
Statement II If the wavelength of photon is decreased, then the momentum and energy of a photon will and energy of a photon will also decrease.
In the light of the above statements, choose the correct answer from the options given below.

The maximum kinetic energy of emitted electrons in a photoelectric effect does not depend upon

An electromagnetic radiation has an energy of $13.2\;keV.$ Then the radiation belongs to the region of

Find the de-Broglie wavelength for electrons which passed through a potential difference of 100 V ? $\left[ {h = 6.625 \times {{10}^{ - 34}}J - \sec } \right]$

Assertion: the stopping potential depends on the frequency of incident light.

Reason: the stopping potential is related to maximum kinetic energy by $e V_0=K_{\max }$

Electric field and magnetic field in a region of space is given by $\mathbf{E}=E_0 \hat{\mathbf{j}}$ and $\mathbf{B}=B_0 \hat{\mathbf{j}}$. A particle of specific charge $\alpha$ is released from origin with velocity $\mathbf{v}=v_0 \hat{\mathbf{i}}$. Then, path of particle

Consider a beam of electrons (each electron with energy $E_0$ ) incident on a metal surface kept in an evacuated chamber. Then,

A stream of fast moving negatively charged particles are called

The energy of a photon of wavelength $\lambda$ is given by

The sun radiates energy at the rate of $3.77 \times {10^{26}}J/s.$ The loss of mass it suffers per seconds is

Assertion: Among the particles of same kinetic energy; lighter particle has greater de Broglie - wavelength.

Reason: The de-Broglie wavelength of a particle depends only on the charge of the particle.

The maximum kinetic energy of a photoelectron is $3 {eV}$. Its stopping potential is

The stopping potential for the photoelectrons emitted from a metal surface of work function $1.7 \mathrm{~eV}$ is $14.3 \mathrm{~V}$. Find the wavelength of radiation used:

When an inert gas is filled in place of vacuum in a photo cell, then

${K_1}$ be the maximum kinetic energy of photoelectrons emitted when metal surface is illuminated by light of wavelength ${\lambda _1}.$ Similarly ${K_2}$ is corresponding to wavelength ${\lambda _2}$ for same metal . If ${\lambda _1} = 2{\lambda _2}$ then

Assertion: Millikan's experiment establish that electric charge is quantized.

Reason: From this experiment mass of the electron could not be determined.

Which of the following is not the property of the photons?

The de-Broglie wavelength of an electron, $\alpha$- particle and proton all having the same kinetic energy is respectively given as ${\lambda _e},\;{\lambda _\alpha }\;\;\mathrm{and\;}{\lambda _p}.$ Then which of the following is not true?

Statement 1: The energy $(E)$ and momentum (p) of a photon are related by $p=E / c$.

Statement 2: The photon behaves like a particle.

While doing his experiment, Millikan one day observed the following charges on a single drop
(i)$6.563 \times {10^{ - 19}}C$ (ii) $8.204 \times {10^{ - 19}}C$
(iii)$11.50\; \times {10^{ - 19}}C\;$ (iv)$13.13 \times {10^{ - 19}}C$
(v)$16.48 \times {10^{ - 19}}C\;\;$ (vi)$18.09 \times {10^{ - 19}}C$
From this data the value of the elementary charge $\left( e \right)$ was found to be

Light of frequency $\mathrm{1}\mathrm{.5}$ 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 ?

In a photoelectric experiment, the wavelength of the light incident on a metal in changed from 300 nm to 400 nm. The decrease in the stopping potential is close to $\left( {\frac{{hc}}{e} = 1240\,nmV} \right)$

In a photoelectric experiment, increasing the intensity of incident light

Particle of mass ' $M$ ' at rest breaks into two particles of masses $\frac{M}{3}$ and $\frac{2 M}{3}$. Find the ratio of their deBroglie wavelengths :

A free neutron decays into a proton but a free proton does not decay into neutron. This is because

Statement 1: Kinetic energy of photo electrons emitted by a photosensitive surface depends upon the intensity of incident photon.

Statement 2: The ejection of electrons from metallic surface is possible with frequency of incident photon below the threshold frequency.

Assertion: In photoelectric effect, at stopping potential emission of photoelectrons is stopped.

Reason: Increase in intensity of given light increases the kinetic energy of photoelectron.

The photons of same frequencies moving in same medium have

Assertion: Every metal has a definite work function, still all photoelectrons do not come out with the same energy if incident radiation is monochromatic.
Reason: Work function is the minimum energy required for the electron in the highest level of the conduction band to get out of the metal. Not all electrons in the metal belong to this level rather they occupy a continuous band of levels.

Which is the incorrect statement of the following